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A concentration phenomenon of the least energy solution to non-autonomous elliptic problems with a totally degenerate potential

Communications on Pure and Applied Analysis  Volume 16, Issue 2, Pages : 671 - 698, 2017

Shun Kodama - (email)

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The bifurcation analysis of turing pattern formation induced by delay and diffusion in the Schnakenberg system

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 2, Pages : 647 - 668, 2016

Fengqi Yi - (email), Eamonn A. Gaffney - (email), Sungrim Seirin-Lee - (email)

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Bifurcation and spatiotemporal patterns in a Bazykin predator-prey model with self and cross diffusion and Beddington-DeAngelis response

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 1, Pages : 2 - 2, 2016

Eric Avila-Vales - (email), Gerardo García-Almeida - (email), Erika Rivero-Esquivel - (email)

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Complex dynamics in the segmented disc dynamo

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 10, Pages : 3301 - 3314, 2016

Jianghong Bao - (email)

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Hopf bifurcation in a model of TGF-$\beta$ in regulation of the Th 17 phenotype

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 10, Pages : 3575 - 3602, 2016

Jisun Lim - (email), Seongwon Lee - (email), Yangjin Kim - (email)

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Analysis of an irregular boundary layer behavior for the steady state flow of a Boussinesq fluid

Discrete and Continuous Dynamical Systems  Volume 37, Issue 2, Pages : 1039 - 1059, 2016

Christos Sourdis - (email)

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Angiogenesis model with Erlang distributed delays

Mathematical Biosciences and Engineering  Volume 14, Issue 1, Pages : 1 - 15, 2016

Emad Attia - (email), Marek Bodnar - (email), Urszula Foryś - (email)

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Dynamical analysis of a toxin-producing phytoplankton-zooplankton model with refuge

Mathematical Biosciences and Engineering  Volume 14, Issue 2, Pages : 529 - 557, 2016

Juan Li - (email), Yongzhong Song - (email), Hui Wan - (email), Huaiping Zhu - (email)

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Normal forms of planar switching systems

Discrete and Continuous Dynamical Systems  Volume 36, Issue 12, Pages : 6715 - 6736, 2016

Xingwu Chen - (email), Weinian Zhang - (email)

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Immune response in virus model structured by cell infection-age

Mathematical Biosciences and Engineering  Volume 13, Issue 5, Pages : 887 - 909, 2016

Cameron Browne - (email)

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Epidemic characteristics of two classic models and the dependence on the initial conditions

Mathematical Biosciences and Engineering  Volume 13, Issue 5, Pages : 999 - 1010, 2016

Jianquan Li - (email), Yiqun Li - (email), Yali Yang - (email)

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Hopf periodic orbits for a ratio--dependent predator--prey model with stage structure

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 6, Pages : 1859 - 1867, 2016

Jaume Llibre - (email), Claudio Vidal - (email)

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Bifurcation analysis of a diffusive plant-wrack model with tide effect on the wrack

Mathematical Biosciences and Engineering  Volume 13, Issue 4, Pages : 857 - 885, 2016

Jun Zhou - (email)

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Dynamics in a Rosenzweig-Macarthur predator-prey system with quiescence

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 3, Pages : 909 - 918, 2016

Jinfeng Wang - (email), Hongxia Fan - (email)

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15

Delay-induced mixed-mode oscillations in a 2D Hindmarsh-Rose-type model

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 1, Pages : 37 - 53, 2015

Shyan-Shiou Chen - (email), Chang-Yuan Cheng - (email)

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Bifurcation analysis of HIV-1 infection model with cell-to-cell transmission and immune response delay

Mathematical Biosciences and Engineering  Volume 13, Issue 2, Pages : 343 - 367, 2015

Jinhu Xu - (email), Yicang Zhou - (email)

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Microbial disease in coral reefs: An ecosystem in transition

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 2, Pages : 373 - 398, 2015

Joydeb Bhattacharyya - (email), Samares Pal - (email)

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Oscillations in age-structured models of consumer-resource mutualisms

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 2, Pages : 537 - 555, 2015

Zhihua Liu - (email), Pierre Magal - (email), Shigui Ruan - (email)

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Singular perturbation and bifurcation of diffuse transition layers in inhomogeneous media, part II

Networks and Heterogeneous Media  Volume 10, Issue 4, Pages : 897 - 948, 2015

Chaoqun Huang - (email), Nung Kwan Yip - (email)

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Age-structured and delay differential-difference model of hematopoietic stem cell dynamics

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 9, Pages : 2765 - 2791, 2015

Mostafa Adimy - (email), Abdennasser Chekroun - (email), Tarik-Mohamed Touaoula - (email)

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21

Least energy solutions for an elliptic problem involving sublinear term and peaking phenomenon

Communications on Pure and Applied Analysis  Volume 14, Issue 6, Pages : 2411 - 2429, 2015

Qiuping Lu - (email), Zhi Ling - (email)

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Viscosity dominated limit of global solutions to a hyperbolic equation in MEMS

Discrete and Continuous Dynamical Systems  Volume 36, Issue 2, Pages : 833 - 849, 2015

Jingyu Li - (email), Chuangchuang Liang - (email)

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Stochastic averaging for slow-fast dynamical systems with fractional Brownian motion

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 7, Pages : 2257 - 2267, 2015

Yong Xu - (email), Bin Pei - (email), Rong Guo - (email)

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Hopf bifurcation for a spatially and age structured population dynamics model

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 6, Pages : 1735 - 1757, 2015

Zhihua Liu - (email), Hui Tang - (email), Pierre Magal - (email)

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On the equivalent classification of three-dimensional competitive Atkinson/Allen models relative to the boundary fixed points

Discrete and Continuous Dynamical Systems  Volume 36, Issue 1, Pages : 217 - 244, 2015

Jifa Jiang - (email), Lei Niu - (email)

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Bifurcation analysis and transient spatio-temporal dynamics for a diffusive plant-herbivore system with Dirichlet boundary conditions

Mathematical Biosciences and Engineering  Volume 12, Issue 4, Pages : 699 - 715, 2015

Lin Wang - (email), James Watmough - (email), Fang Yu - (email)

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On S-shaped bifurcation curves for a two-point boundary value problem arising in a theory of thermal explosion

Discrete and Continuous Dynamical Systems  Volume 35, Issue 10, Pages : 4839 - 4858, 2015

Shao-Yuan Huang - (email), Shin-Hwa Wang - (email)

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Qualitative analysis of a modified Leslie-Gower predator-prey model with Crowley-Martin functional responses

Communications on Pure and Applied Analysis  Volume 14, Issue 3, Pages : 1127 - 1145, 2015

Jun Zhou - (email)

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A mathematical model of HTLV-I infection with two time delays

Communications on Pure and Applied Analysis  Volume 14, Issue 3, Pages : 432 - 449, 2015

Xuejuan Lu - (email), Lulu Hui - (email), Shengqiang Liu - (email), Jia Li - (email)

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A mathematical model of HTLV-I infection with two time delays

Mathematical Biosciences and Engineering  Volume 12, Issue 3, Pages : 431 - 449, 2015

Xuejuan Lu - (email), Lulu Hui - (email), Shengqiang Liu - (email), Jia Li - (email)

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31

The effect of time delay in plant--pathogen interactions with host demography

Mathematical Biosciences and Engineering  Volume 12, Issue 3, Pages : 473 - 490, 2015

Bruno Buonomo - (email), Marianna Cerasuolo - (email)

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Hopf bifurcation in an age-structured population model with two delays

Communications on Pure and Applied Analysis  Volume 14, Issue 2, Pages : 657 - 676, 2014

Xianlong Fu - (email), Zhihua Liu - (email), Pierre Magal - (email)

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33

Virus dynamics model with intracellular delays and immune response

Mathematical Biosciences and Engineering  Volume 12, Issue 1, Pages : 185 - 208, 2014

Haitao Song - (email), Weihua Jiang - (email), Shengqiang Liu - (email)

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34

On the integrability of polynomial vector fields in the plane by means of Picard-Vessiot theory

Discrete and Continuous Dynamical Systems  Volume 35, Issue 5, Pages : 1767 - 1800, 2014

Primitivo B. Acosta-Humánez - (email), J. Tomás Lázaro - (email), Juan J. Morales-Ruiz - (email), Chara Pantazi - (email)

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35

Quiescent phases and stability in discrete time dynamical systems

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 1, Pages : 129 - 152, 2014

Karl P. Hadeler - (email)

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36

Modeling the impact of twitter on influenza epidemics

Mathematical Biosciences and Engineering  Volume 11, Issue 6, Pages : 1337 - 1356, 2014

Kasia A. Pawelek - (email), Anne Oeldorf-Hirsch - (email), Libin Rong - (email)

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A new model with delay for mosquito population dynamics

Mathematical Biosciences and Engineering  Volume 11, Issue 6, Pages : 1395 - 1410, 2014

Hui Wan - (email), Huaiping Zhu - (email)

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Singularly perturbed population models with reducible migration matrix 1. Sova-Kurtz theorem and the convergence to the aggregated model

Discrete and Continuous Dynamical Systems  Volume 35, Issue 2, Pages : 617 - 635, 2014

Jacek Banasiak - (email), Amartya Goswami - (email)

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Bifurcation diagrams and multiplicity for nonlocal elliptic equations modeling gravitating systems based on Fermi--Dirac statistics

Discrete and Continuous Dynamical Systems  Volume 35, Issue 1, Pages : 139 - 154, 2014

Jean Dolbeault - (email), Robert Stańczy - (email)

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40

The singular limit problem in a phase separation model with different diffusion rates $^*$

Discrete and Continuous Dynamical Systems  Volume 35, Issue 1, Pages : 483 - 512, 2014

Kelei Wang - (email)

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41

Impact of delay on HIV-1 dynamics of fighting a virus with another virus

Mathematical Biosciences and Engineering  Volume 11, Issue 5, Pages : 1181 - 1198, 2014

Yun Tian - (email), Yu Bai - (email), Pei Yu - (email)

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42

The stability of steady-state hot-spot patterns for a reaction-diffusion model of urban crime

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 5, Pages : 1373 - 1410, 2014

Theodore Kolokolnikov - (email), Michael J. Ward - (email), Juncheng Wei - (email)

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43

Stability and bifurcation analysis of epidemic models with saturated incidence rates: An application to a nonmonotone incidence rate

Mathematical Biosciences and Engineering  Volume 11, Issue 4, Pages : 785 - 805, 2014

Yoichi Enatsu - (email), Yukihiko Nakata - (email)

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44

On the converse problem for the Gross-Pitaevskii equations with a large parameter

Discrete and Continuous Dynamical Systems  Volume 34, Issue 6, Pages : 2481 - 2493, 2013

Norman E. Dancer - (email)

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45

Mathematical modeling on helper T cells in a tumor immune system

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 1, Pages : 55 - 72, 2013

Yueping Dong - (email), Rinko Miyazaki - (email), Yasuhiro Takeuchi - (email)

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46

Singular perturbation and bifurcation of diffuse transition layers in inhomogeneous media, part I

Networks and Heterogeneous Media  Volume 8, Issue 4, Pages : 1009 - 1034, 2013

Chaoqun Huang - (email), Nung Kwan Yip - (email)

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47

Pattern formation of the attraction-repulsion Keller-Segel system

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 10, Pages : 2597 - 2625, 2013

Ping Liu - (email), Junping Shi - (email), Zhi-An Wang - (email)

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Dynamics of a ratio-dependent predator-prey system with a strong Allee effect

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 9, Pages : 2283 - 2313, 2013

Yujing Gao - (email), Bingtuan Li - (email)

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Bifurcation analysis of a discrete SIS model with bilinear incidence depending on new infection

Mathematical Biosciences and Engineering  Volume 10, Issue 5/6, Pages : 1399 - 1417, 2013

Hui Cao - (email), Yicang Zhou - (email), Zhien Ma - (email)

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50

Stability and Hopf bifurcation in a diffusive predator-prey system incorporating a prey refuge

Mathematical Biosciences and Engineering  Volume 10, Issue 4, Pages : 979 - 996, 2013

Xiaoyuan Chang - (email), Junjie Wei - (email)

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51

Hopf bifurcation for a size-structured model with resting phase

Discrete and Continuous Dynamical Systems  Volume 33, Issue 11/12, Pages : 4891 - 4921, 2013

Jixun Chu - (email), Pierre Magal - (email)

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52

An erratum note on the paper: Positive periodic solution for Brillouin electron beam focusing system

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 7, Pages : 1995 - 1997, 2013

Zaihong Wang - (email), Jin Li - (email), Tiantian Ma - (email)

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53

Gompertz model with delays and treatment: Mathematical analysis

Mathematical Biosciences and Engineering  Volume 10, Issue 3, Pages : 551 - 563, 2013

Marek Bodnar - (email), Monika Joanna Piotrowska - (email), Urszula Foryś - (email)

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54

Canard trajectories in 3D piecewise linear systems

Discrete and Continuous Dynamical Systems  Volume 33, Issue 10, Pages : 4595 - 4611, 2013

Rafel Prohens - (email), Antonio E. Teruel - (email)

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55

$L^\infty$ estimation of the LDG method for 1-d singularly perturbed convection-diffusion problems

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 5, Pages : 1493 - 1505, 2013

Huiqing Zhu - (email), Runchang Lin - (email)

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Two-dimensional stability analysis in a HIV model with quadratic logistic growth term

Communications on Pure and Applied Analysis  Volume 12, Issue 5, Pages : 1813 - 1844, 2013

Claude-Michel Brauner - (email), Xinyue Fan - (email), Luca Lorenzi - (email)

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57

Model of tumour angiogenesis -- analysis of stability with respect to delays

Mathematical Biosciences and Engineering  Volume 10, Issue 1, Pages : 19 - 35, 2012

Marek Bodnar - (email), Monika Joanna Piotrowska - (email), Urszula Foryś - (email), Ewa Nizińska - (email)

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58

Oscillatory dynamics in a reaction-diffusion system in the presence of 0:1:2 resonance

Networks and Heterogeneous Media  Volume 7, Issue 4, Pages : 893 - 926, 2012

Toshiyuki Ogawa - (email), Takashi Okuda - (email)

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59

Periodic solutions of Liénard equations with resonant isochronous potentials

Discrete and Continuous Dynamical Systems  Volume 33, Issue 4, Pages : 1563 - 1581, 2012

Tiantian Ma - (email), Zaihong Wang - (email)

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60

The effect of delay on a diffusive predator-prey system with Holling Type-II predator functional response

Communications on Pure and Applied Analysis  Volume 12, Issue 1, Pages : 481 - 501, 2012

Shanshan Chen - (email), Junping Shi - (email), Junjie Wei - (email)

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61

Slow passage through multiple bifurcation points

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 1, Pages : 95 - 107, 2012

Younghae Do - (email), Juan M. Lopez - (email)

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62

Mathematical analysis of a HIV model with quadratic logistic growth term

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 7, Pages : 2359 - 2385, 2012

Xinyue Fan - (email), Claude-Michel Brauner - (email), Linda Wittkop - (email)

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63

On the validity of formal asymptotic expansions in Allen-Cahn equation and FitzHugh-Nagumo system with generic initial data

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 6, Pages : 1639 - 1649, 2012

Matthieu Alfaro - (email), Hiroshi Matano - (email)

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Qualitative analysis of a model for co-culture of bacteria and amoebae

Mathematical Biosciences and Engineering  Volume 9, Issue 2, Pages : 259 - 279, 2012

Laura Fumanelli - (email), Pierre Magal - (email), Dongmei Xiao - (email), Xiao Yu - (email)

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65

Stable periodic oscillations in a two-stage cancer model of tumor and immune system interactions

Mathematical Biosciences and Engineering  Volume 9, Issue 2, Pages : 347 - 368, 2012

Dan Liu - (email), Shigui Ruan - (email), Deming Zhu - (email)

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66

Symmetries and blow-up phenomena for a Dirichlet problem with a large parameter

Communications on Pure and Applied Analysis  Volume 11, Issue 5, Pages : 1935 - 1957, 2012

Pierpaolo Esposito - (email), Maristella Petralla - (email)

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67

Finding periodic orbits in state-dependent delay differential equations as roots of algebraic equations

Discrete and Continuous Dynamical Systems  Volume 32, Issue 8, Pages : 2607 - 2651, 2012

Jan Sieber - (email)

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68

The singular limit of a Hopf bifurcation

Discrete and Continuous Dynamical Systems  Volume 32, Issue 8, Pages : 2805 - 2823, 2012

John Guckenheimer - (email), Hinke M. Osinga - (email)

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69

Feed-forward networks, center manifolds, and forcing

Discrete and Continuous Dynamical Systems  Volume 32, Issue 8, Pages : 2913 - 2935, 2012

Martin Golubitsky - (email), Claire Postlethwaite - (email)

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70

Sharp upperbounds for the number of large amplitude limit cycles in polynomial Lienard systems

Discrete and Continuous Dynamical Systems  Volume 32, Issue 5, Pages : 1465 - 1479, 2012

Freddy Dumortier - (email)

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71

Two theorems on singularly perturbed semigroups with applications to models of applied mathematics

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 3, Pages : 735 - 757, 2012

Adam Bobrowski - (email), Radosław Bogucki - (email)

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72

Stability and Hopf bifurcations for a delayed diffusion system in population dynamics

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 1, Pages : 367 - 399, 2011

Xiang-Ping Yan - (email), Wan-Tong Li - (email)

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Coupled cell networks: Hopf bifurcation and interior symmetry

DCDS Supplements  Volume 2011, Issue Special, Pages : 71 - 78, 2011

Fernando Antoneli - (email), Ana Paula S. Dias - (email), Rui Paiva - (email)

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74

Convergence versus periodicity in a single-loop positive-feedback system 2. Periodic solutions

DCDS Supplements  Volume 2011, Issue Special, Pages : 941 - 952, 2011

Monica Lazzo - (email), Paul G. Schmidt - (email)

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75

Sharp interface limit of the Fisher-KPP equation

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 1 - 18, 2011

Matthieu Alfaro - (email), Arnaud Ducrot - (email)

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76

Dynamics of a delay Schistosomiasis model in snail infections

Mathematical Biosciences and Engineering  Volume 8, Issue 4, Pages : 1099 - 1115, 2011

Chunhua Shan - (email), Hongjun Gao - (email), Huaiping Zhu - (email)

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The replicability of oncolytic virus: Defining conditions in tumor virotherapy

Mathematical Biosciences and Engineering  Volume 8, Issue 3, Pages : 841 - 860, 2011

Jianjun Paul Tian - (email)

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78

Time-varying delayed feedback control for an internet congestion control model

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 2, Pages : 653 - 668, 2011

Shu Zhang - (email), Jian Xu - (email)

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79

Dynamical behavior of a ratio dependent predator-prey system with distributed delay

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 3, Pages : 719 - 738, 2011

Canan Çelik - (email)

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80

Finding a stable solution of a system of nonlinear equations arising from dynamic systems

Journal of Industrial and Management Optimization  Volume 7, Issue 2, Pages : 497 - 521, 2011

Carl. T. Kelley - (email), Liqun Qi - (email), Xiaojiao Tong - (email), Hongxia Yin - (email)

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81

Periodic solutions for $p$-Laplacian systems of Liénard-type

Communications on Pure and Applied Analysis  Volume 10, Issue 5, Pages : 1393 - 1400, 2011

Wenbin Liu - (email), Zhaosheng Feng - (email)

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82

Positive periodic solution for Brillouin electron beam focusing system

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 1, Pages : 385 - 392, 2011

Jingli Ren - (email), Zhibo Cheng - (email), Stefan Siegmund - (email)

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83

Hopf bifurcation for some analytic differential systems in $\R^3$ via averaging theory

Discrete and Continuous Dynamical Systems  Volume 30, Issue 3, Pages : 779 - 790, 2011

Jaume Llibre - (email), Clàudia Valls - (email)

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Periodic solutions of a model for tumor virotherapy

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 6, Pages : 1587 - 1597, 2010

Daniel Vasiliu - (email), Jianjun Paul Tian - (email)

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85

Novel dynamics of a simple Daphnia-microparasite model with dose-dependent infection

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 6, Pages : 1599 - 1610, 2010

Kaifa Wang - (email), Yang Kuang - (email)

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86

Detectable canard cycles with singular slow dynamics of any order at the turning point

Discrete and Continuous Dynamical Systems  Volume 29, Issue 1, Pages : 109 - 140, 2010

P. De Maesschalck - (email), Freddy Dumortier - (email)

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87

The existence and structure of large spiky steady states for S-K-T competition systems with cross-diffusion

Discrete and Continuous Dynamical Systems  Volume 29, Issue 1, Pages : 367 - 385, 2010

Yaping Wu - (email), Qian Xu - (email)

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88

Transversal periodic-to-periodic homoclinic orbits in singularly perturbed systems

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 2, Pages : 367 - 387, 2010

Flaviano Battelli - (email), Ken Palmer - (email)

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89

Phase portraits, Hopf bifurcations and limit cycles of Leslie-Gower predator-prey systems with harvesting rates

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 1, Pages : 289 - 306, 2010

C. R. Zhu - (email), K. Q. Lan - (email)

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90

Cyclicity of unbounded semi-hyperbolic 2-saddle cycles in polynomial Lienard systems

Discrete and Continuous Dynamical Systems  Volume 27, Issue 3, Pages : 963 - 980, 2010

Magdalena Caubergh - (email), Freddy Dumortier - (email), Stijn Luca - (email)

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91

Singular perturbation systems with stochastic forcing and the renormalization group method

Discrete and Continuous Dynamical Systems  Volume 26, Issue 4, Pages : 1241 - 1268, 2009

Nathan Glatt-Holtz - (email), Mohammed Ziane - (email)

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Asymptotic behaviour of the Darcy-Boussinesq system at large Darcy-Prandtl number

Discrete and Continuous Dynamical Systems  Volume 26, Issue 4, Pages : 1441 - 1469, 2009

Rana D. Parshad - (email)

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93

Influence of latent period and nonlinear incidence rate on the dynamics of SIRS epidemiological models

Discrete and Continuous Dynamical Systems - Series B  Volume 13, Issue 1, Pages : 195 - 211, 2009

Yu Yang - (email), Dongmei Xiao - (email)

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94

Geometric singular perturbation analysis of an autocatalator model

Discrete and Continuous Dynamical Systems - Series S  Volume 2, Issue 4, Pages : 783 - 806, 2009

Ilona Gucwa - (email), Peter Szmolyan - (email)

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95

$3$ - dimensional Hopf bifurcation via averaging theory of second order

Discrete and Continuous Dynamical Systems  Volume 25, Issue 4, Pages : 1287 - 1295, 2009

Jaume Llibre - (email), Amar Makhlouf - (email), Sabrina Badi - (email)

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96

Stability analysis and bifurcations in a diffusive predator-prey system

DCDS Supplements  Volume 2009, Issue Special, Pages : 92 - 100, 2009

Leonid Braverman - (email), Elena Braverman - (email)

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97

Generating functions for Hopf bifurcation with $ S_n$-symmetry

Discrete and Continuous Dynamical Systems  Volume 25, Issue 3, Pages : 823 - 842, 2009

Ana Paula S. Dias - (email), Paul C. Matthews - (email), Ana Rodrigues - (email)

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98

Stability, bifurcation analysis in a neural network model with delay and diffusion

DCDS Supplements  Volume 2009, Issue Special, Pages : 367 - 376, 2009

Rui Hu - (email), Yuan Yuan - (email)

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99

Lyapunov coefficients for non-symmetrically coupled identical dynamical systems. Application to coupled advertising models

Discrete and Continuous Dynamical Systems - Series B  Volume 11, Issue 3, Pages : 785 - 803, 2009

Denis de Carvalho Braga - (email), Luis Fernando Mello - (email), Carmen Rocşoreanu - (email), Mihaela Sterpu - (email)

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100

Erratum

Discrete and Continuous Dynamical Systems  Volume 22, Issue 3, Pages : 816 - 816, 2008

Freddy Dumortier - (email), Robert Roussarie - (email)

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101

An extension of the Beretta-Kuang model of viral diseases

Mathematical Biosciences and Engineering  Volume 5, Issue 3, Pages : 549 - 565, 2008

Ivo Siekmann - (email), Horst Malchow - (email), Ezio Venturino - (email)

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102

Sign-changing multi-peak solutions for nonlinear Schrödinger equations with critical frequency

Communications on Pure and Applied Analysis  Volume 7, Issue 4, Pages : 883 - 903, 2008

Yohei Sato - (email)

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103

Delayed feedback control near Hopf bifurcation

Discrete and Continuous Dynamical Systems - Series S  Volume 1, Issue 2, Pages : 197 - 205, 2008

Fatihcan M. Atay - (email)

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104

Heteroclinic connections in singularly perturbed systems

Discrete and Continuous Dynamical Systems - Series B  Volume 9, Issue 3/4, May, Pages : 431 - 461, 2008

Flaviano Battelli - (email), Ken Palmer - (email)

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105

A two-parameter geometrical criteria for delay differential equations

Discrete and Continuous Dynamical Systems - Series B  Volume 9, Issue 2, Pages : 397 - 413, 2007

Suqi Ma - (email), Zhaosheng Feng - (email), Qishao Lu - (email)

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106

Bifurcation of relaxation oscillations in dimension two

Discrete and Continuous Dynamical Systems  Volume 19, Issue 4, Pages : 631 - 674, 2007

Freddy Dumortier - (email), Robert Roussarie - (email)

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107

An invariant set generated by the domain topology for parabolic semiflows with small diffusion

Discrete and Continuous Dynamical Systems  Volume 18, Issue 4, Pages : 613 - 626, 2007

Nils Ackermann - (email), Thomas Bartsch - (email), Petr Kaplický - (email)

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108

Modeling and asymptotic stability of a growth factor-dependent stem cell dynamics model with distributed delay

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 1, Pages : 19 - 38, 2007

Mostafa Adimy - (email), Fabien Crauste - (email)

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109

Interaction of diffusion and delay

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 1, Pages : 95 - 105, 2007

Karl Peter Hadeler - (email), Shigui Ruan - (email)

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110

Modeling the rock - scissors - paper game between bacteriocin producing bacteria by Lotka-Volterra equations

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 1, Pages : 207 - 228, 2007

Gunter Neumann - (email), Stefan Schuster - (email)

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111

Ackerberg-O'Malley resonance in boundary value problems with a turning point of any order

Communications on Pure and Applied Analysis  Volume 6, Issue 2, Pages : 311 - 333, 2007

P. De Maesschalck - (email)

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112

Evolutionary dynamics of prey-predator systems with Holling type II functional response

Mathematical Biosciences and Engineering  Volume 4, Issue 2, Pages : 221 - 237, 2007

Jian Zu - (email), Wendi Wang - (email), Bo Zu - (email)

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113

A mathematical model for M-phase specific chemotherapy including the $G_0$-phase and immunoresponse

Mathematical Biosciences and Engineering  Volume 4, Issue 2, Pages : 239 - 259, 2007

Wenxiang Liu - (email), Thomas Hillen - (email), H. I. Freedman - (email)

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114

Canard cycles with two breaking parameters

Discrete and Continuous Dynamical Systems  Volume 17, Issue 4, Pages : 787 - 806, 2007

Freddy Dumortier - (email), Robert Roussarie - (email)

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115

3-dimensional Hopf bifurcation via averaging theory

Discrete and Continuous Dynamical Systems  Volume 17, Issue 3, Pages : 529 - 540, 2006

Jaume Llibre - (email), Claudio A. Buzzi - (email), Paulo R. da Silva - (email)

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116

Exponential approximations for the primitive equations of the ocean

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 2, Pages : 425 - 440, 2006

Roger Temam - (email), D. Wirosoetisno - (email)

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117

Hopf bifurcation at infinity for planar vector fields

Discrete and Continuous Dynamical Systems  Volume 17, Issue 2, Pages : 247 - 258, 2006

Begoña Alarcón - (email), Víctor Guíñez - (email), Carlos Gutierrez - (email)

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118

Putting a boundary to the space of Liénard equations

Discrete and Continuous Dynamical Systems  Volume 17, Issue 2, Pages : 441 - 448, 2006

Robert Roussarie - (email)

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119

Forest defoliation scenarios

Mathematical Biosciences and Engineering  Volume 4, Issue 1, Pages : 15 - 28, 2006

Glenn Ledder - (email)

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120

On the stabilizing effect of cannibalism in stage-structured population models

Mathematical Biosciences and Engineering  Volume 3, Issue 4, Pages : 717 - 731, 2006

Bruno Buonomo - (email), Deborah Lacitignola - (email)

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121

Modeling Cancer in HIV-1 Infected Individuals: Equilibria, Cycles and Chaotic Behavior

Mathematical Biosciences and Engineering  Volume 3, Issue 2, Pages : 313 - 324, 2006

Jie Lou - (email), Tommaso Ruggeri - (email), Claudio Tebaldi - (email)

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122

Global Asymptotic Stability and Hopf Bifurcation for a Blood Cell Production Model

Mathematical Biosciences and Engineering  Volume 3, Issue 2, Pages : 325 - 346, 2006

Fabien Crauste - (email)

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123

Analysis of a corner layer problem in anisotropic interfaces

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 2, Pages : 237 - 255, 2005

N. D. Alikakos - (email), P. W. Bates - (email), J. W. Cahn - (email), P. C. Fife - (email), G. Fusco - (email), G. B. Tanoglu - (email)

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124

Multiple stable patterns for some reaction-diffusion equation in disrupted environments

Discrete and Continuous Dynamical Systems  Volume 14, Issue 1, Pages : 93 - 116, 2005

Takanori Ide - (email), Kazuhiro Kurata - (email), Kazunaga Tanaka - (email)

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125

Coexistence states for a prey-predator model with cross-diffusion

DCDS Supplements  Volume 2005, Issue Special, Pages : 536 - 545, 2005

Kousuke Kuto - (email), Yoshio Yamada - (email)

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126

The Role Of Time Delays, Slow Processes And Chaos In Modulating The Cell-Cycle Clock

Mathematical Biosciences and Engineering  Volume 2, Issue 3, Pages : 625 - 642, 2005

E.V. Presnov - (email), Z. Agur - (email)

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127

Discrete May-Leonard competition models II

Discrete and Continuous Dynamical Systems - Series B  Volume 5, Issue 3, Pages : 841 - 860, 2005

Lih-Ing W. Roeger - (email)

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128

Dynamics of a logistic population model with maturation delay and nonlinear birth rate

Discrete and Continuous Dynamical Systems - Series B  Volume 5, Issue 3, Pages : 735 - 752, 2005

Suqi Ma - (email), Qishao Lu - (email), Shuli Mei - (email)

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129

Hopf bifurcations of ODE systems along the singular direction in the parameter plane

Communications on Pure and Applied Analysis  Volume 4, Issue 2, Pages : 445 - 461, 2005

Ruyuan Zhang - (email)

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130

Describing a class of global attractors via symbol sequences

Discrete and Continuous Dynamical Systems  Volume 12, Issue 3, Pages : 531 - 554, 2004

Jörg Härterich - (email), Matthias Wolfrum - (email)

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131

Twelve limit cycles in a cubic order planar system with $Z_2$- symmetry

Communications on Pure and Applied Analysis  Volume 3, Issue 3, Pages : 515 - 526, 2004

P. Yu - (email), M. Han - (email)

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132

Coexistence in a metapopulation model with explicit local dynamics

Mathematical Biosciences and Engineering  Volume 1, Issue 1, Pages : 131 - 145, 2004

Zhilan Feng - (email), Robert Swihart - (email), Yingfei Yi - (email), Huaiping Zhu - (email)

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133

Asymptotic analysis of a two--dimensional coupled problem for compressible viscous flows

Discrete and Continuous Dynamical Systems  Volume 10, Issue 1/2, Pages : 137 - 163, 2003

Cristian A. Coclici - (email), Jörg Heiermann - (email), Gh. Moroşanu - (email), W. L. Wendland - (email)

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134

Heteroclinic foliation, global oscillations for the Nicholson-Bailey model and delay of stability loss

Discrete and Continuous Dynamical Systems  Volume 9, Issue 6, Pages : 1465 - 1492, 2003

Sze-Bi Hsu - (email), Ming-Chia Li - (email), Weishi Liu - (email), Mikhail Malkin - (email)

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135

Attractiveness and Hopf bifurcation for retarded differential equations

Communications on Pure and Applied Analysis  Volume 2, Issue 2, Pages : 147 - 158, 2003

R. Ouifki - (email), M. L. Hbid - (email), O. Arino - (email)

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136

Homoclinic orbits in a disease transmission model with nonlinear incidence and nonconstant population

Discrete and Continuous Dynamical Systems - Series B  Volume 3, Issue 2, Pages : 299 - 309, 2003

W.R. Derrick - (email), P. van den Driessche - (email)

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137

Singular perturbation analysis for the reduction of complex chemistry in gaseous mixtures using the entropic structure

Discrete and Continuous Dynamical Systems - Series B  Volume 2, Issue 3, Pages : 433 - 456, 2002

Marc Massot - (email)

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138

On subharmonics bifurcation in equations with homogeneous nonlinearities

Discrete and Continuous Dynamical Systems  Volume 7, Issue 4, Pages : 747 - 762, 2001

Alexander Krasnosel'skii - (email), Alexei Pokrovskii - (email)

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139

A singular perturbed problem for semilinear wave equations with small parameter

Discrete and Continuous Dynamical Systems  Volume 5, Issue 3, Pages : 473 - 488, 1999

Han Yang - (email)

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140

On the existence and profile of multi-peaked solutions to singularly perturbed semilinear Dirichlet problems

Discrete and Continuous Dynamical Systems  Volume 2, Issue 2, Pages : 221 - 236, 1996

Daomin Cao - (email), Norman E. Dancer - (email), Ezzat S. Noussair - (email), Shunsen Yan - (email)

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141

Parabolic singular limit of a wave equation with localized boundary damping

Discrete and Continuous Dynamical Systems  Volume 1, Issue 3, Pages : 303 - 346, 1995

Aníbal Rodríguez-Bernal - (email), Enrique Zuazua - (email)

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