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$R_0$ and the global behavior of an age-structured SIS epidemic model with periodicity and vertical transmission

Mathematical Biosciences and Engineering  Volume 11, Issue 4, Pages : 929 - 945, 2014

Toshikazu Kuniya - (email), Mimmo Iannelli - (email)

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Periodic solutions of El Niño model through the Vallis differential system

Discrete and Continuous Dynamical Systems  Volume 34, Issue 9, Pages : 3455 - 3469, 2014

Rodrigo Donizete Euzébio - (email), Jaume Llibre - (email)

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Global stability for a heroin model with two distributed delays

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 3, Pages : 715 - 733, 2014

Bin Fang - (email), Xue-Zhi Li - (email), Maia Martcheva - (email), Liming Cai - (email)

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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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A theorem on chaotic dynamics and its application to differential delay equations

DCDS Supplements  Volume 2001, Issue Special, Pages : 362 - 365, 2013

Roman Srzednicki - (email)

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6

Quasilinear retarded differential equations with functional dependence on piecewise constant argument

Communications on Pure and Applied Analysis  Volume 13, Issue 2, Pages : 929 - 947, 2013

Marat Akhmet - (email)

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Chemostats and epidemics: Competition for nutrients/hosts

Mathematical Biosciences and Engineering  Volume 10, Issue 5/6, Pages : 1635 - 1650, 2013

Hal L. Smith - (email), Horst R. Thieme - (email)

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8

Modelling seasonal HFMD with the recessive infection in Shandong, China

Mathematical Biosciences and Engineering  Volume 10, Issue 4, Pages : 1159 - 1171, 2013

Yangjun Ma - (email), Maoxing Liu - (email), Qiang Hou - (email), Jinqing Zhao - (email)

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On the stability of periodic orbits in delay equations with large delay

Discrete and Continuous Dynamical Systems  Volume 33, Issue 7, Pages : 3109 - 3134, 2013

Jan Sieber - (email), Matthias Wolfrum - (email), Mark Lichtner - (email), Serhiy Yanchuk - (email)

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An infinite dimensional bifurcation problem with application to a class of functional differential equations of neutral type

Communications on Pure and Applied Analysis  Volume 12, Issue 5, Pages : 1845 - 1859, 2013

Jean-François Couchouron - (email), Mikhail Kamenskii - (email), Paolo Nistri - (email)

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Periodic solutions of second order Lagrangian difference systems with bounded or singular $\phi$-Laplacian and periodic potential

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 4, Pages : 1065 - 1076, 2012

Jean Mawhin - (email)

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The impact of migrant workers on the tuberculosis transmission: General models and a case study for China

Mathematical Biosciences and Engineering  Volume 9, Issue 4, Pages : 785 - 807, 2012

Luju Liu - (email), Jianhong Wu - (email), Xiao-Qiang Zhao - (email)

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Existence of periodic solutions with nonconstant sign in a class of generalized Abel equations

Discrete and Continuous Dynamical Systems  Volume 33, Issue 4, Pages : 1603 - 1614, 2012

Josep M. Olm - (email), Xavier Ros-Oton - (email)

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Subharmonic solutions for nonlinear second order equations in presence of lower and upper solutions

Discrete and Continuous Dynamical Systems  Volume 33, Issue 1, Pages : 89 - 110, 2012

Alberto Boscaggin - (email), Fabio Zanolin - (email)

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Periodic solutions of first order systems

Discrete and Continuous Dynamical Systems  Volume 33, Issue 1, Pages : 381 - 389, 2012

J. R. Ward - (email)

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Limit cycles of non-autonomous scalar ODEs with two summands

Communications on Pure and Applied Analysis  Volume 12, Issue 2, Pages : 1091 - 1102, 2012

José-Luis Bravo - (email), Manuel Fernández - (email)

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The basic reproduction number of discrete SIR and SEIS models with periodic parameters

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 1, Pages : 37 - 56, 2012

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

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Dynamics of a dengue fever transmission model with crowding effect in human population and spatial variation

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 1, Pages : 147 - 161, 2012

Tzy-Wei Hwang - (email), Feng-Bin Wang - (email)

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Multiplicity of solutions of variational systems involving $\phi$-Laplacians with singular $\phi$ and periodic nonlinearities

Discrete and Continuous Dynamical Systems  Volume 32, Issue 11, Pages : 4015 - 4026, 2012

Jean Mawhin - (email)

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Periodic solutions for a class of second order ODEs with a Nagumo cubic type nonlinearity

Discrete and Continuous Dynamical Systems  Volume 32, Issue 11, Pages : 4045 - 4067, 2012

Chiara Zanini - (email), Fabio Zanolin - (email)

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21

The Malthusian parameter and $R_0$ for heterogeneous populations in periodic environments

Mathematical Biosciences and Engineering  Volume 9, Issue 2, Pages : 313 - 346, 2012

Hisashi Inaba - (email)

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Dynamics of a delay differential equation with multiple state-dependent delays

Discrete and Continuous Dynamical Systems  Volume 32, Issue 8, Pages : 2701 - 2727, 2012

A. R. Humphries - (email), O. A. DeMasi - (email), F. M. G. Magpantay - (email), F. Upham - (email)

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23

Schubart-like orbits in the Newtonian collinear four-body problem: A variational proof

Discrete and Continuous Dynamical Systems  Volume 32, Issue 5, Pages : 1763 - 1774, 2012

Hsin-Yuan Huang - (email)

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Three nonzero periodic solutions for a differential inclusion

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 4, Pages : 779 - 788, 2011

Francesca Faraci - (email), Antonio Iannizzotto - (email)

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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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Periodic solutions for some fully nonlinear fourth order differential equations

DCDS Supplements  Volume 2011, Issue Special, Pages : 1068 - 1077, 2011

Feliz Minhós - (email)

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Periodic solutions of resonant systems with rapidly rotating nonlinearities

Discrete and Continuous Dynamical Systems  Volume 31, Issue 2, Pages : 373 - 383, 2011

Pablo Amster - (email), Mónica Clapp - (email)

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Existence of nonstationary periodic solutions for $\Gamma$-symmetric Lotka-Volterra type systems

Discrete and Continuous Dynamical Systems  Volume 30, Issue 3, Pages : 709 - 735, 2011

Norimichi Hirano - (email), Wieslaw Krawcewicz - (email), Haibo Ruan - (email)

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Pandemic influenza: Modelling and public health perspectives

Mathematical Biosciences and Engineering  Volume 8, Issue 1, Pages : 1 - 20, 2011

Julien Arino - (email), Chris Bauch - (email), Fred Brauer - (email), S. Michelle Driedger - (email), Amy L. Greer - (email), S.M. Moghadas - (email), Nick J. Pizzi - (email), Beate Sander - (email), Ashleigh Tuite - (email), P. van den Driessche - (email), James Watmough - (email), Jianhong Wu - (email), Ping Yan - (email)

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30

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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Periodic solutions of parabolic problems with hysteresis on the boundary

Discrete and Continuous Dynamical Systems  Volume 29, Issue 3, Pages : 1041 - 1083, 2010

Pavel Gurevich - (email)

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32

A model of varicella-zoster reactivation

Mathematical Biosciences and Engineering  Volume 7, Issue 4, Pages : 765 - 777, 2010

Jonathan E. Forde - (email), Bailey Meeker - (email)

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On permanent regimes for non-autonomous linear evolution equations in Banach spaces with applications to transport theory

Kinetic and Related Models  Volume 3, Issue 3, Pages : 473 - 499, 2010

Mustapha Mokhtar-Kharroubi - (email)

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A class of doubly degenerate parabolic equations with periodic sources

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 3, Pages : 1199 - 1210, 2010

Jiebao Sun - (email), Boying Wu - (email), Jing Li - (email), Dazhi Zhang - (email)

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Rotating Boussinesq equations: Dynamic stability and transitions

Discrete and Continuous Dynamical Systems  Volume 28, Issue 1, Pages : 99 - 130, 2010

Chun-Hsiung Hsia - (email), Tian Ma - (email), Shouhong Wang - (email)

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36

Vector control for the Chikungunya disease

Mathematical Biosciences and Engineering  Volume 7, Issue 2, Pages : 313 - 345, 2010

Yves Dumont - (email), Frederic Chiroleu - (email)

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37

An age-structured two-strain epidemic model with super-infection

Mathematical Biosciences and Engineering  Volume 7, Issue 1, Pages : 123 - 147, 2010

Xue-Zhi Li - (email), Ji-Xuan Liu - (email), Maia Martcheva - (email)

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38

Existence and uniqueness of strong periodic solutions of the primitive equations of the ocean

Discrete and Continuous Dynamical Systems  Volume 26, Issue 4, Pages : 1491 - 1508, 2009

T. Tachim Medjo - (email)

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39

Polynomial differential equations with small coefficients

Discrete and Continuous Dynamical Systems  Volume 25, Issue 4, Pages : 1129 - 1141, 2009

M. A. M. Alwash - (email)

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An improved optimistic three-stage model for the spread of HIV amongst injecting intravenous drug users

DCDS Supplements  Volume 2009, Issue Special, Pages : 286 - 299, 2009

David Greenhalgh - (email), Wafa Al-Fwzan - (email)

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41

Periodic solutions of a class of Newtonian equations

Communications on Pure and Applied Analysis  Volume 8, Issue 6, Pages : 1795 - 1801, 2009

Dixiang Cheng - (email), Zhengrong Liu - (email), Xin Huang - (email)

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42

A mathematical analysis of malaria and tuberculosis co-dynamics

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 4, Pages : 827 - 864, 2009

Expeditho Mtisi - (email), Herieth Rwezaura - (email), Jean Michel Tchuenche - (email)

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Threshold dynamics in a time-delayed periodic SIS epidemic model

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 1, Pages : 169 - 186, 2009

Yijun Lou - (email), Xiao-Qiang Zhao - (email)

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44

Linear evolution operators on spaces of periodic functions

Communications on Pure and Applied Analysis  Volume 8, Issue 1, Pages : 5 - 36, 2008

Wolfgang Arendt - (email), Patrick J. Rabier - (email)

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The mass dependence of the period of the periodic solutions of the Sitnikov problem

Discrete and Continuous Dynamical Systems - Series S  Volume 1, Issue 4, Pages : 597 - 609, 2008

Marcelo Marchesin - (email)

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46

Calculation of $R_0$ for age-of-infection models

Mathematical Biosciences and Engineering  Volume 5, Issue 3, Pages : 585 - 599, 2008

Christine K. Yang - (email), Fred Brauer - (email)

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A Variational proof of the existence of Von Schubart's orbit

Discrete and Continuous Dynamical Systems - Series B  Volume 10, Issue 2/3, September, Pages : 699 - 717, 2008

Andrea Venturelli - (email)

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Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model

Discrete and Continuous Dynamical Systems  Volume 21, Issue 1, Pages : 1 - 20, 2008

Linda J. S. Allen - (email), B. M. Bolker - (email), Yuan Lou - (email), A. L. Nevai - (email)

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On the rate of convergence of periodic solutions in perturbed autonomous systems as the perturbation vanishes

Communications on Pure and Applied Analysis  Volume 7, Issue 1, Pages : 49 - 61, 2007

Oleg Makarenkov - (email), Paolo Nistri - (email)

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Periodic solutions of Birkhoff-Lewis type for the nonlinear wave equation

DCDS Supplements  Volume 2007, Issue Special, Pages : 102 - 109, 2007

Luca Biasco - (email), Laura Di Gregorio - (email)

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Existence of periodic solutions for enzyme-catalysed reactions with periodic substrate input

DCDS Supplements  Volume 2007, Issue Special, Pages : 551 - 557, 2007

Guy Katriel - (email)

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On the basic reproduction number $R_0$ in sexual activity models for HIV/AIDS epidemics: Example from Yunnan, China

Mathematical Biosciences and Engineering  Volume 4, Issue 4, Pages : 595 - 607, 2007

Nicolas Bacaër - (email), Xamxinur Abdurahman - (email), Jianli Ye - (email), Pierre Auger - (email)

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A final size relation for epidemic models

Mathematical Biosciences and Engineering  Volume 4, Issue 2, Pages : 159 - 175, 2007

Julien Arino - (email), Fred Brauer - (email), P. van den Driessche - (email), James Watmough - (email), Jianhong Wu - (email)

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A variational approach to resonance for asymmetric oscillators

Communications on Pure and Applied Analysis  Volume 6, Issue 1, Pages : 163 - 181, 2006

D. Bonheure - (email), C. Fabry - (email)

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Periodic solutions of a periodic scalar piecewise ode

Communications on Pure and Applied Analysis  Volume 6, Issue 1, Pages : 213 - 228, 2006

José Luis Bravo - (email), Manuel Fernández - (email), Antonio Tineo - (email)

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Periodic solutions for a 3x 3 competitive system with cross-diffusion

Discrete and Continuous Dynamical Systems  Volume 15, Issue 3, Pages : 725 - 746, 2006

Salomé Martínez - (email), Wei-Ming Ni - (email)

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Collisionless orbits of singular and nonsingular dynamical systems

Discrete and Continuous Dynamical Systems  Volume 15, Issue 3, Pages : 747 - 757, 2006

Daniel Franco - (email), J. R. L. Webb - (email)

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Averaging of time - periodic systems without a small parameter

Discrete and Continuous Dynamical Systems  Volume 14, Issue 4, Pages : 753 - 782, 2006

Mickael Chekroun - (email), Michael Ghil - (email), Jean Roux - (email), Ferenc Varadi - (email)

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Lindstedt series for periodic solutions of beam equations with quadratic and velocity dependent nonlinearities

Communications on Pure and Applied Analysis  Volume 5, Issue 1, Pages : 1 - 28, 2005

V. Mastropietro - (email), Michela Procesi - (email)

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Epidemic threshold conditions for seasonally forced SEIR models

Mathematical Biosciences and Engineering  Volume 3, Issue 1, Pages : 161 - 172, 2005

Junling Ma - (email), Zhien Ma - (email)

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The effect of global travel on the spread of SARS

Mathematical Biosciences and Engineering  Volume 3, Issue 1, Pages : 205 - 218, 2005

Shigui Ruan - (email), Wendi Wang - (email), Simon A. Levin - (email)

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Epidemic models with nonlinear infection forces

Mathematical Biosciences and Engineering  Volume 3, Issue 1, Pages : 267 - 279, 2005

Wendi Wang - (email)

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A model for disease transmission in a patchy environment

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 1, Pages : 185 - 202, 2005

Mahin Salmani - (email), P. van den Driessche - (email)

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New periodic solutions for three or four identical vortices on a plane and a sphere

DCDS Supplements  Volume 2005, Issue Special, Pages : 110 - 120, 2005

A.V. Borisov - (email), I.S. Mamaev - (email), A.A. Kilin - (email)

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Existence of periodic solution for a class of systems involving nonlinear wave equations

Communications on Pure and Applied Analysis  Volume 4, Issue 3, Pages : 487 - 498, 2005

Claudianor O. Alves - (email)

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Forced periodic solutions for piezoelectric crystals

Communications on Pure and Applied Analysis  Volume 4, Issue 2, Pages : 475 - 485, 2005

Giovanni Cimatti - (email)

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Existence and location of periodic solutions to convex and non coercive Hamiltonian systems

Discrete and Continuous Dynamical Systems  Volume 12, Issue 5, Pages : 983 - 996, 2005

Giuseppe Cordaro - (email)

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The exponential behavior of Navier-Stokes equations with time delay external force

Discrete and Continuous Dynamical Systems  Volume 12, Issue 5, Pages : 997 - 1018, 2005

Takeshi Taniguchi - (email)

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Branches of periodic orbits for the planar restricted 3-body problem

Discrete and Continuous Dynamical Systems  Volume 11, Issue 4, Pages : 745 - 755, 2004

Gianni Arioli - (email)

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Periodic solutions for three-dimensional non-monotone cyclic systems with time delays

Discrete and Continuous Dynamical Systems  Volume 11, Issue 2/3, Pages : 667 - 692, 2004

Anatoli F. Ivanov - (email), Bernhard Lani-Wayda - (email)

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Convergence of Lindstedt series for the non linear wave equation

Communications on Pure and Applied Analysis  Volume 3, Issue 3, Pages : 509 - 514, 2004

G. Gentile - (email), V. Mastropietro - (email)

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Periodic solutions of a class of nonautonomous discrete time semi-ratio-dependent predator-prey systems

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 3, Pages : 563 - 574, 2004

Meng Fan - (email), Qian Wang - (email)

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Bifurcation from a homoclinic orbit in partial functional differential equations

Discrete and Continuous Dynamical Systems  Volume 9, Issue 5, Pages : 1293 - 1322, 2003

Shigui Ruan - (email), Junjie Wei - (email), Jianhong Wu - (email)

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Oscillations in a second-order discontinuous system with delay

Discrete and Continuous Dynamical Systems  Volume 9, Issue 2, Pages : 339 - 358, 2002

Eugenii Shustin - (email), Emilia Fridman - (email), Leonid Fridman - (email)

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Bifurcations of periodics from homoclinics in singular O.D.E.: applications to discretizations of travelling waves of P.D.E.

Communications on Pure and Applied Analysis  Volume 1, Issue 4, Pages : 475 - 483, 2002

Michal Fečkan - (email), Vassilis Rothos - (email)

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Families of periodic orbits for some PDE’s in higher dimensions

Communications on Pure and Applied Analysis  Volume 1, Issue 2, Pages : 269 - 279, 2002

Dario Bambusi - (email), Simone Paleari - (email)

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Asymptotic tracking in DC-to-DC nonlinear power converters

Discrete and Continuous Dynamical Systems - Series B  Volume 2, Issue 2, Pages : 295 - 307, 2002

E. Fossas-Colet - (email), J.M. Olm-Miras - (email)

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Guiding-like functions for periodic or bounded solutions of ordinary differential equations

Discrete and Continuous Dynamical Systems  Volume 8, Issue 1, Pages : 39 - 54, 2001

Jean Mawhin - (email), James R. Ward Jr - (email)

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Equations with a $p$-Laplacian and an asymmetric nonlinear term

Discrete and Continuous Dynamical Systems  Volume 7, Issue 3, Pages : 545 - 557, 2001

C. Fabry - (email), Raul Manásevich - (email)

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Positively homogeneous equations in the plane

Discrete and Continuous Dynamical Systems  Volume 6, Issue 2, Pages : 475 - 482, 2000

Alessandro Fonda - (email), Rafael Ortega - (email)

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Qualitative analysis of periodic oscillations of an earth satellite with magnetic attitude stabilization

Discrete and Continuous Dynamical Systems  Volume 6, Issue 2, Pages : 293 - 297, 2000

Alexandr A. Zevin - (email), Mark A. Pinsky - (email)

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An infinite-dimensional extension of a Poincaré's result concerning the continuation of periodic orbits

Discrete and Continuous Dynamical Systems  Volume 3, Issue 3, Pages : 401 - 418, 1997

Paolo Perfetti - (email)

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Multiple periodic solutions of second order equations with asymmetric nonlinearities

Discrete and Continuous Dynamical Systems  Volume 3, Issue 1, Pages : 25 - 34, 1996

C. Rebelo - (email)

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Existence and non-existence of homoclinic trajectories of the Liénard system

Discrete and Continuous Dynamical Systems  Volume 2, Issue 2, Pages : 237 - 254, 1996

Jitsuro Sugie - (email), Tadayuki Hara - (email)

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Critical values and minimal periods for autonomous Hamiltonian systems

Discrete and Continuous Dynamical Systems  Volume 1, Issue 3, Pages : 389 - 400, 1995

K. Tintarev - (email)

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Periodic solutions to unbounded Hamiltonian system

Discrete and Continuous Dynamical Systems  Volume 1, Issue 2, Pages : 277 - 283, 1995

V. Barbu - (email)

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