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Series S of Discrete and Continuous Dynamical Systems only publishes theme issues. Each issue is devoted to a specific area of the mathematical, physical and engineering sciences. This area will define a research frontier that is advancing rapidly, often bridging mathematics and sciences. DCDS-S is essential reading for mathematicians, physicists, engineers and other physical scientists. The journal is published bimonthly.

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  • Publishes 8 issues a year in February, April, June, August, September, October, November and December.
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Preface: Special issue of DCDS-S dedicated to the 70th birthday of Norman Dancer
Zalman Balanov, Wiesław Krawcewicz and Jianshe Yu
2019, 12(7) : ⅰ-ⅱ doi: 10.3934/dcdss.20197i +[Abstract](292) +[HTML](83) +[PDF](1369.58KB)
The work of Norman Dancer
Yihong Du
2019, 12(7) : 1807-1833 doi: 10.3934/dcdss.2019119 +[Abstract](948) +[HTML](467) +[PDF](563.04KB)
On a degree associated with the Gross-Pitaevskii system with a large parameter
E. Norman Dancer
2019, 12(7) : 1835-1839 doi: 10.3934/dcdss.2019120 +[Abstract](772) +[HTML](312) +[PDF](252.8KB)
Subharmonic solutions for a class of Lagrangian systems
Anouar Bahrouni, Marek Izydorek and Joanna Janczewska
2019, 12(7) : 1841-1850 doi: 10.3934/dcdss.2019121 +[Abstract](807) +[HTML](437) +[PDF](370.68KB)
On good deformations of $ A_m $-singularities
Zalman Balanov and Yakov Krasnov
2019, 12(7) : 1851-1866 doi: 10.3934/dcdss.2019122 +[Abstract](688) +[HTML](373) +[PDF](422.7KB)
The Morse property for functions of Kirchhoff-Routh path type
Thomas Bartsch, Anna Maria Micheletti and Angela Pistoia
2019, 12(7) : 1867-1877 doi: 10.3934/dcdss.2019123 +[Abstract](769) +[HTML](341) +[PDF](433.5KB)
Dihedral molecular configurations interacting by Lennard-Jones and Coulomb forces
Irina Berezovik, Wieslaw Krawcewicz and Qingwen Hu
2019, 12(7) : 1879-1903 doi: 10.3934/dcdss.2019124 +[Abstract](667) +[HTML](321) +[PDF](300.33KB)
Global bifurcations and a priori bounds of positive solutions for coupled nonlinear Schrödinger Systems
Guowei Dai, Rushun Tian and Zhitao Zhang
2019, 12(7) : 1905-1927 doi: 10.3934/dcdss.2019125 +[Abstract](795) +[HTML](584) +[PDF](530.21KB)
Least energy solutions for fractional Kirchhoff type equations involving critical growth
Yinbin Deng and Wentao Huang
2019, 12(7) : 1929-1954 doi: 10.3934/dcdss.2019126 +[Abstract](977) +[HTML](550) +[PDF](526.06KB)
Branching and bifurcation
Patrick M. Fitzpatrick and Jacobo Pejsachowicz
2019, 12(7) : 1955-1975 doi: 10.3934/dcdss.2019127 +[Abstract](929) +[HTML](497) +[PDF](459.95KB)
Multiple solutions for a critical quasilinear equation with Hardy potential
Fengshuang Gao and Yuxia Guo
2019, 12(7) : 1977-2003 doi: 10.3934/dcdss.2019128 +[Abstract](986) +[HTML](559) +[PDF](592.06KB)
Global symmetry-breaking bifurcations of critical orbits of invariant functionals
Anna Goƚȩbiewska, Norimichi Hirano and Sƚawomir Rybicki
2019, 12(7) : 2005-2017 doi: 10.3934/dcdss.2019129 +[Abstract](905) +[HTML](480) +[PDF](430.91KB)
Selective Pyragas control of Hamiltonian systems
Edward Hooton, Pavel Kravetc, Dmitrii Rachinskii and Qingwen Hu
2019, 12(7) : 2019-2034 doi: 10.3934/dcdss.2019130 +[Abstract](928) +[HTML](541) +[PDF](486.58KB)
Existence of positive ground state solutions for Choquard equation with variable exponent growth
Gui-Dong Li and Chun-Lei Tang
2019, 12(7) : 2035-2050 doi: 10.3934/dcdss.2019131 +[Abstract](1086) +[HTML](514) +[PDF](481.63KB)
Solutions of nonlinear periodic Dirac equations with periodic potentials
Xiaoyan Lin and Xianhua Tang
2019, 12(7) : 2051-2061 doi: 10.3934/dcdss.2019132 +[Abstract](990) +[HTML](455) +[PDF](403.85KB)
A Leslie-Gower predator-prey model with a free boundary
Yunfeng Liu, Zhiming Guo, Mohammad El Smaily and Lin Wang
2019, 12(7) : 2063-2084 doi: 10.3934/dcdss.2019133 +[Abstract](987) +[HTML](536) +[PDF](388.99KB)
Periodic and subharmonic solutions for a 2$n$th-order $\phi_c$-Laplacian difference equation containing both advances and retardations
Peng Mei, Zhan Zhou and Genghong Lin
2019, 12(7) : 2085-2095 doi: 10.3934/dcdss.2019134 +[Abstract](1001) +[HTML](467) +[PDF](381.32KB)
Traveling waves in Fermi-Pasta-Ulam chains with nonlocal interaction
Alexander Pankov
2019, 12(7) : 2097-2113 doi: 10.3934/dcdss.2019135 +[Abstract](960) +[HTML](516) +[PDF](406.92KB)
Ground states of nonlinear Schrödinger equations with fractional Laplacians
Zupei Shen, Zhiqing Han and Qinqin Zhang
2019, 12(7) : 2115-2125 doi: 10.3934/dcdss.2019136 +[Abstract](947) +[HTML](522) +[PDF](387.3KB)
On periodic solutions in the Whitney's inverted pendulum problem
Roman Srzednicki
2019, 12(7) : 2127-2141 doi: 10.3934/dcdss.2019137 +[Abstract](872) +[HTML](462) +[PDF](381.34KB)
Positive solutions of doubly coupled multicomponent nonlinear Schrödinger systems
Jiabao Su, Rushun Tian and Zhi-Qiang Wang
2019, 12(7) : 2143-2161 doi: 10.3934/dcdss.2019138 +[Abstract](988) +[HTML](467) +[PDF](507.51KB)
Ground state homoclinic solutions for a second-order Hamiltonian system
Xiaoping Wang
2019, 12(7) : 2163-2175 doi: 10.3934/dcdss.2019139 +[Abstract](1009) +[HTML](481) +[PDF](447.37KB)
The mean and noise of FPT modulated by promoter architecture in gene networks
Kunwen Wen, Lifang Huang, Qiuying Li, Qi Wang and Jianshe Yu
2019, 12(7) : 2177-2194 doi: 10.3934/dcdss.2019140 +[Abstract](909) +[HTML](503) +[PDF](475.08KB)
Bifurcation analysis of a stage-structured predator-prey model with prey refuge
Qing Zhu, Huaqin Peng, Xiaoxiao Zheng and Huafeng Xiao
2019, 12(7) : 2195-2209 doi: 10.3934/dcdss.2019141 +[Abstract](971) +[HTML](474) +[PDF](367.13KB)
Shadowing is generic on dendrites
Will Brian, Jonathan Meddaugh and Brian Raines
2019doi: 10.3934/dcdss.2019142 +[Abstract](794) +[HTML](512) +[PDF](333.27KB)
Free probability on $ C^{*}$-algebras induced by hecke algebras over primes
Ilwoo Cho and Palle Jorgense
2019doi: 10.3934/dcdss.2019143 +[Abstract](748) +[HTML](484) +[PDF](556.98KB)
Orbit portraits in non-autonomous iteration
Mark Comerford and Todd Woodard
2019doi: 10.3934/dcdss.2019144 +[Abstract](764) +[HTML](497) +[PDF](3443.77KB)
Solving the Babylonian problem of quasiperiodic rotation rates
Suddhasattwa Das, Yoshitaka Saiki, Evelyn Sander and James A. Yorke
2019doi: 10.3934/dcdss.2019145 +[Abstract](967) +[HTML](589) +[PDF](6747.17KB)
Dynamical properties of endomorphisms, multiresolutions, similarity and orthogonality relations
Palle Jorgensen and Feng Tian
2019doi: 10.3934/dcdss.2019146 +[Abstract](877) +[HTML](515) +[PDF](1021.99KB)
Informing the structure of complex Hadamard matrix spaces using a flow
Francis C. Motta and Patrick D. Shipman
2019doi: 10.3934/dcdss.2019147 +[Abstract](744) +[HTML](463) +[PDF](2129.44KB)
On a semigroup problem
Viorel Nitica and Andrei Török
2019doi: 10.3934/dcdss.2019148 +[Abstract](888) +[HTML](483) +[PDF](400.77KB)
Stable sets of planar homeomorphisms with translation pseudo-arcs
Francisco R. Ruiz del Portal
2019doi: 10.3934/dcdss.2019149 +[Abstract](793) +[HTML](477) +[PDF](469.23KB)
Hereditarily non uniformly perfect sets
Rich Stankewitz, Toshiyuki Sugawa and Hiroki Sumi
2019doi: 10.3934/dcdss.2019150 +[Abstract](772) +[HTML](470) +[PDF](408.13KB)
Thurston's algorithm and rational maps from quadratic polynomial matings
Mary Wilkerson
2019doi: 10.3934/dcdss.2019151 +[Abstract](953) +[HTML](565) +[PDF](4291.42KB)
A cyclic system with delay and its characteristic equation
Elena Braverman, Karel Hasik, Anatoli F. Ivanov and Sergei I. Trofimchuk
2019doi: 10.3934/dcdss.2020001 +[Abstract](793) +[HTML](468) +[PDF](978.84KB)
Long-time behavior of positive solutions of a differential equation with state-dependent delay
Josef Diblík
2019doi: 10.3934/dcdss.2020002 +[Abstract](794) +[HTML](481) +[PDF](424.57KB)
A periodic solution with non-simple oscillation for an equation with state-dependent delay and strictly monotonic negative feedback
Benjamin B. Kennedy
2019doi: 10.3934/dcdss.2020003 +[Abstract](756) +[HTML](477) +[PDF](2370.68KB)
Existence of strictly decreasing positive solutions of linear differential equations of neutral type
Josef Diblík and Zdeněk Svoboda
2019doi: 10.3934/dcdss.2020004 +[Abstract](815) +[HTML](471) +[PDF](445.59KB)
Generalised Lyapunov-Razumikhin techniques for scalar state-dependent delay differential equations
F. M. G. Magpantay and A. R. Humphries
2019doi: 10.3934/dcdss.2020005 +[Abstract](759) +[HTML](478) +[PDF](10539.13KB)
Stabilization in a chemotaxis model for virus infection
Nicola Bellomo and Youshan Tao
2019doi: 10.3934/dcdss.2020006 +[Abstract](806) +[HTML](466) +[PDF](424.81KB)
Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity
Tobias Black
2019doi: 10.3934/dcdss.2020007 +[Abstract](931) +[HTML](465) +[PDF](465.95KB)
Boundedness and homogeneous asymptotics for a fractional logistic Keller-Segel equations
Jan Burczak and Rafael Granero-Belinchón
2019doi: 10.3934/dcdss.2020008 +[Abstract](737) +[HTML](513) +[PDF](618.85KB)
Global existence in the 1D quasilinear parabolic-elliptic chemotaxis system with critical nonlinearity
Tomasz Cieślak and Kentarou Fujie
2019doi: 10.3934/dcdss.2020009 +[Abstract](710) +[HTML](439) +[PDF](345.23KB)
On a chemotaxis model with competitive terms arising in angiogenesis
Manuel Delgado, Inmaculada Gayte, Cristian Morales-Rodrigo and Antonio Suárez
2019doi: 10.3934/dcdss.2020010 +[Abstract](746) +[HTML](440) +[PDF](535.82KB)
Global asymptotic stability in a chemotaxis-growth model for tumor invasion
Kentarou Fujie
2019doi: 10.3934/dcdss.2020011 +[Abstract](921) +[HTML](467) +[PDF](365.89KB)
Boundedness in a quasilinear fully parabolic Keller-Segel system via maximal Sobolev regularity
Sachiko Ishida and Tomomi Yokota
2019doi: 10.3934/dcdss.2020012 +[Abstract](744) +[HTML](451) +[PDF](496.26KB)
Infinite time blow-up of many solutions to a general quasilinear parabolic-elliptic Keller-Segel system
Johannes Lankeit
2019doi: 10.3934/dcdss.2020013 +[Abstract](780) +[HTML](445) +[PDF](489.94KB)
Decay in chemotaxis systems with a logistic term
Monica Marras, Stella Vernier-Piro and Giuseppe Viglialoro
2019doi: 10.3934/dcdss.2020014 +[Abstract](728) +[HTML](453) +[PDF](379.51KB)
Improvement of conditions for asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity
Masaaki Mizukami
2019doi: 10.3934/dcdss.2020015 +[Abstract](662) +[HTML](431) +[PDF](138.78KB)
On a Parabolic-ODE system of chemotaxis
Mihaela Negreanu and J. Ignacio Tello
2019doi: 10.3934/dcdss.2020016 +[Abstract](780) +[HTML](444) +[PDF](412.51KB)
Existence of traveling wave solutions to parabolic-elliptic-elliptic chemotaxis systems with logistic source
Rachidi B. Salako and Wenxian Shen
2019doi: 10.3934/dcdss.2020017 +[Abstract](756) +[HTML](459) +[PDF](595.85KB)
On a parabolic-elliptic chemotaxis-growth system with nonlinear diffusion
Yilong Wang and Xuande Zhang
2019doi: 10.3934/dcdss.2020018 +[Abstract](768) +[HTML](490) +[PDF](380.86KB)
Global solvability in a two-dimensional self-consistent chemotaxis-Navier-Stokes system
Yulan Wang
2019doi: 10.3934/dcdss.2020019 +[Abstract](775) +[HTML](520) +[PDF](534.92KB)
Fractional operators with boundary points dependent kernels and integration by parts
Thabet Abdeljawad
2019doi: 10.3934/dcdss.2020020 +[Abstract](681) +[HTML](328) +[PDF](454.87KB)
MHD flow of fractional Newtonian fluid embedded in a porous medium via Atangana-Baleanu fractional derivatives
Kashif Ali Abro and Ilyas Khan
2019doi: 10.3934/dcdss.2020021 +[Abstract](637) +[HTML](376) +[PDF](356.5KB)
Implementation of the vehicular occupancy-emission relation using a cubic B-splines collocation method
Said Agoujil, Abderrahman Bouhamidi, Sofiya Chergui and Youssef Qaraai
2019doi: 10.3934/dcdss.2020022 +[Abstract](551) +[HTML](329) +[PDF](538.77KB)
New aspects of time fractional optimal control problems within operators with nonsingular kernel
Tuğba Akman Yıldız, Amin Jajarmi, Burak Yıldız and Dumitru Baleanu
2019doi: 10.3934/dcdss.2020023 +[Abstract](614) +[HTML](562) +[PDF](747.1KB)
A new numerical scheme applied on re-visited nonlinear model of predator-prey based on derivative with non-local and non-singular kernel
Badr Saad T. Alkahtani and Ilknur Koca
2019doi: 10.3934/dcdss.2020024 +[Abstract](585) +[HTML](334) +[PDF](360.58KB)
Augmented upwind numerical schemes for a fractional advection-dispersion equation in fractured groundwater systems
Amy Allwright and Abdon Atangana
2019doi: 10.3934/dcdss.2020025 +[Abstract](536) +[HTML](403) +[PDF](425.72KB)
Models of fluid flowing in non-conventional media: New numerical analysis
Abdon Atangana and Sonal Jain
2019doi: 10.3934/dcdss.2020026 +[Abstract](555) +[HTML](306) +[PDF](2802.07KB)
Generalized variational calculus in terms of multi-parameters involving Atangana-Baleanu's derivatives and application
G. M. Bahaa
2019doi: 10.3934/dcdss.2020027 +[Abstract](627) +[HTML](445) +[PDF](388.75KB)
New approximate solutions to the nonlinear Klein-Gordon equations using perturbation iteration techniques
Necdet Bildik and Sinan Deniz
2019doi: 10.3934/dcdss.2020028 +[Abstract](596) +[HTML](340) +[PDF](603.8KB)
Analysis of a Lymphatic filariasis-schistosomiasis coinfection with public health dynamics: Model obtained through Mittag-Leffler function
Ebenezer Bonyah and Samuel Kwesi Asiedu
2019doi: 10.3934/dcdss.2020029 +[Abstract](592) +[HTML](369) +[PDF](639.18KB)
Fractional calculus and applications of family of extended generalized Gauss hypergeometric functions
Mehar Chand, Jyotindra C. Prajapati, Ebenezer Bonyah and Jatinder Kumar Bansal
2019doi: 10.3934/dcdss.2020030 +[Abstract](617) +[HTML](495) +[PDF](427.94KB)
A novel predictor-corrector scheme for solving variable-order fractional delay differential equations involving operators with Mittag-Leffler kernel
Antonio Coronel-Escamilla and José Francisco Gómez-Aguilar
2019doi: 10.3934/dcdss.2020031 +[Abstract](667) +[HTML](333) +[PDF](951.83KB)
Memorized relaxation with singular and non-singular memory kernels for basic relaxation of dielectric vis-à-vis Curie-von Schweidler & Kohlrausch relaxation laws
Shantanu Das
2019doi: 10.3934/dcdss.2020032 +[Abstract](577) +[HTML](420) +[PDF](713.9KB)
Parabolic problem with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel
Jean Daniel Djida, Juan J. Nieto and Iván Area
2019doi: 10.3934/dcdss.2020033 +[Abstract](586) +[HTML](357) +[PDF](388.03KB)
Multi-directional and saturated chaotic attractors with many scrolls for fractional dynamical systems
Emile Franc Doungmo Goufo
2019doi: 10.3934/dcdss.2020034 +[Abstract](510) +[HTML](307) +[PDF](843.78KB)
Dynamics of traveling waves of variable order hyperbolic Liouville equation: Regulation and control
Emile Franc Doungmo Goufo and Abdon Atangana
2019doi: 10.3934/dcdss.2020035 +[Abstract](758) +[HTML](402) +[PDF](720.09KB)
Perturbations of Hindmarsh-Rose neuron dynamics by fractional operators: Bifurcation, firing and chaotic bursts
Emile Franc Doungmo Goufo, Melusi Khumalo and Patrick M. Tchepmo Djomegni
2019doi: 10.3934/dcdss.2020036 +[Abstract](560) +[HTML](393) +[PDF](949.96KB)
Analytical results on the unsteady rotational flow of fractional-order non-Newtonian fluids with shear stress on the boundary
Muhammad Mansha Ghalib, Azhar Ali Zafar, Zakia Hammouch, Muhammad Bilal Riaz and Khurram Shabbir
2019doi: 10.3934/dcdss.2020037 +[Abstract](683) +[HTML](371) +[PDF](363.4KB)
Variational principles in the frame of certain generalized fractional derivatives
Fahd Jarad and Thabet Abdeljawad
2019doi: 10.3934/dcdss.2020038 +[Abstract](651) +[HTML](300) +[PDF](310.23KB)
Generalized fractional derivatives and Laplace transform
Fahd Jarad and Thabet Abdeljawad
2019doi: 10.3934/dcdss.2020039 +[Abstract](945) +[HTML](606) +[PDF](336.84KB)
Existence and stability results to a class of fractional random implicit differential equations involving a generalized Hilfer fractional derivative
Fahd Jarad, Sugumaran Harikrishnan, Kamal Shah and Kuppusamy Kanagarajan
2019doi: 10.3934/dcdss.2020040 +[Abstract](634) +[HTML](524) +[PDF](378.94KB)
Comparative study of fractional Fokker-Planck equations with various fractional derivative operators
Krunal B. Kachhia
2019doi: 10.3934/dcdss.2020041 +[Abstract](667) +[HTML](338) +[PDF](843.15KB)
Extension of triple Laplace transform for solving fractional differential equations
Amir Khan, Asaf Khan, Tahir Khan and Gul Zaman
2019doi: 10.3934/dcdss.2020042 +[Abstract](690) +[HTML](435) +[PDF](584.6KB)
Channel flow of fractionalized H2O-based CNTs nanofluids with Newtonian heating
Ilyas Khan, Muhammad Saqib and Aisha M. Alqahtani
2019doi: 10.3934/dcdss.2020043 +[Abstract](530) +[HTML](410) +[PDF](339.38KB)
Analysis of the Fitzhugh Nagumo model with a new numerical scheme
Jyoti Mishra
2019doi: 10.3934/dcdss.2020044 +[Abstract](549) +[HTML](563) +[PDF](607.85KB)
Note on a $ k $-generalised fractional derivative
Ekta Mittal and Sunil Joshi
2019doi: 10.3934/dcdss.2020045 +[Abstract](572) +[HTML](296) +[PDF](343.21KB)
Mathematical modeling approach to the fractional Bergman's model
Victor Fabian Morales-Delgado, José Francisco Gómez-Aguilar and Marco Antonio Taneco-Hernández
2019doi: 10.3934/dcdss.2020046 +[Abstract](590) +[HTML](331) +[PDF](469.52KB)
Dynamical behaviour of fractional-order predator-prey system of Holling-type
Kolade M. Owolabi
2019doi: 10.3934/dcdss.2020047 +[Abstract](569) +[HTML](305) +[PDF](973.98KB)
Numerical simulation of multidimensional nonlinear fractional Ginzburg-Landau equations
Kolade M. Owolabi and Edson Pindza
2019doi: 10.3934/dcdss.2020048 +[Abstract](653) +[HTML](385) +[PDF](1350.42KB)
Fractional input stability and its application to neural network
Ndolane Sene
2019doi: 10.3934/dcdss.2020049 +[Abstract](689) +[HTML](308) +[PDF](370.89KB)
Mittag-Leffler input stability of fractional differential equations and its applications
Ndolane Sene
2019doi: 10.3934/dcdss.2020050 +[Abstract](699) +[HTML](366) +[PDF](344.45KB)
Inclusion of fading memory to Banister model of changes in physical condition
Mansour Shrahili, Ravi Shanker Dubey and Ahmed Shafay
2019doi: 10.3934/dcdss.2020051 +[Abstract](492) +[HTML](290) +[PDF](330.35KB)
European option valuation under the Bates PIDE in finance: A numerical implementation of the Gaussian scheme
Fazlollah Soleymani and Ali Akgül
2019doi: 10.3934/dcdss.2020052 +[Abstract](575) +[HTML](325) +[PDF](1674.58KB)
Existence results of Hilfer integro-differential equations with fractional order
Ramasamy Subashini, Chokkalingam Ravichandran, Kasthurisamy Jothimani and Haci Mehmet Baskonus
2019doi: 10.3934/dcdss.2020053 +[Abstract](918) +[HTML](384) +[PDF](445.32KB)
Optical solitons to the fractional perturbed NLSE in nano-fibers
Tukur Abdulkadir Sulaiman, Hasan Bulut and Haci Mehmet Baskonus
2019doi: 10.3934/dcdss.2020054 +[Abstract](524) +[HTML](431) +[PDF](1204.79KB)
A fractional model for the dynamics of tuberculosis (TB) using Atangana-Baleanu derivative
Saif Ullah, Muhammad Altaf Khan, Muhammad Farooq and Ebraheem O. Alzahrani
2019doi: 10.3934/dcdss.2020055 +[Abstract](678) +[HTML](362) +[PDF](513.11KB)
A fractional order HBV model with hospitalization
Saif Ullah, Muhammad Altaf Khan, Muhammad Farooq, Taza Gul and Fawad Hussain
2019doi: 10.3934/dcdss.2020056 +[Abstract](610) +[HTML](527) +[PDF](2536.42KB)
A fractional model for the dynamics of tuberculosis infection using Caputo-Fabrizio derivative
Saif Ullah, Muhammad Altaf Khan, Muhammad Farooq, Zakia Hammouch and Dumitru Baleanu
2019doi: 10.3934/dcdss.2020057 +[Abstract](661) +[HTML](455) +[PDF](543.36KB)
Comparing the new fractional derivative operators involving exponential and Mittag-Leffler kernel
Mehmet Yavuz and Necati Özdemir
2019doi: 10.3934/dcdss.2020058 +[Abstract](727) +[HTML](298) +[PDF](706.03KB)
MHD natural convection boundary-layer flow over a semi-infinite heated plate with arbitrary inclination
Azhar Ali Zafar, Khurram Shabbir, Asim Naseem and Muhammad Waqas Ashraf
2019doi: 10.3934/dcdss.2020059 +[Abstract](559) +[HTML](307) +[PDF](333.5KB)
Regional enlarged observability of Caputo fractional differential equations
Hayat Zouiten, Ali Boutoulout and Delfim F. M. Torres
2019doi: 10.3934/dcdss.2020060 +[Abstract](576) +[HTML](293) +[PDF](348.83KB)
Bifurcation revisited along footprints of Jürgen Scheurle
Tassilo Küpper
2019doi: 10.3934/dcdss.2020061 +[Abstract](417) +[HTML](248) +[PDF](707.92KB)
A Galilean dance 1:2:4 resonant periodic motions and their librations of Jupiter and his Galilean moons
Henk W. Broer and Heinz Hanssmann
2019doi: 10.3934/dcdss.2020062 +[Abstract](415) +[HTML](273) +[PDF](632.73KB)
Time-minimum control of quantum purity for 2-level Lindblad equations
William Clark, Anthony Bloch, Leonardo Colombo and Patrick Rooney
2019doi: 10.3934/dcdss.2020063 +[Abstract](378) +[HTML](226) +[PDF](462.37KB)
Variational discretization of thermodynamical simple systems on Lie groups
Benjamin Couéraud and François Gay-Balmaz
2019doi: 10.3934/dcdss.2020064 +[Abstract](443) +[HTML](254) +[PDF](931.33KB)
Forward omega limit sets of nonautonomous dynamical systems
Hongyong Cui, Peter E. Kloeden and Meihua Yang
2019doi: 10.3934/dcdss.2020065 +[Abstract](453) +[HTML](244) +[PDF](341.1KB)
On Lie algebra actions
Richard H. Cushman and Jędrzej Śniatycki
2019doi: 10.3934/dcdss.2020066 +[Abstract](412) +[HTML](231) +[PDF](555.76KB)
Almost all 3-body relative equilibria on $ \mathbb S^2 $ and $ \mathbb H^2 $ are inclined
Florin Diacu and Shuqiang Zhu
2019doi: 10.3934/dcdss.2020067 +[Abstract](428) +[HTML](219) +[PDF](440.17KB)
Stabilized rapid oscillations in a delay equation: Feedback control by a small resonant delay
Bernold Fiedler and Isabelle Schneider
2019doi: 10.3934/dcdss.2020068 +[Abstract](383) +[HTML](220) +[PDF](2270.43KB)
Self-organized clusters in diffusive run-and-tumble processes
Patrick Flynn, Quinton Neville and Arnd Scheel
2019doi: 10.3934/dcdss.2020069 +[Abstract](362) +[HTML](212) +[PDF](10714.4KB)
On the geometry of twisted prolongations, and dynamical systems
Giuseppe Gaeta
2019doi: 10.3934/dcdss.2020070 +[Abstract](387) +[HTML](234) +[PDF](481.51KB)
Predicting uncertainty in geometric fluid mechanics
François Gay-Balmaz and Darryl D. Holm
2019doi: 10.3934/dcdss.2020071 +[Abstract](504) +[HTML](248) +[PDF](403.56KB)
Sub-Riemannian geometry and finite time thermodynamics Part 1: The stochastic oscillator
Yunlong Huang and P. S. Krishnaprasad
2019doi: 10.3934/dcdss.2020072 +[Abstract](440) +[HTML](287) +[PDF](676.61KB)
Geometry and numerical continuation of multiscale orbits in a nonconvex variational problem
Annalisa Iuorio, Christian Kuehn and Peter Szmolyan
2019doi: 10.3934/dcdss.2020073 +[Abstract](409) +[HTML](268) +[PDF](2008.08KB)
A survey of some aspects of dynamical topology: Dynamical compactness and Slovak spaces
Sergiĭ Kolyada
2019doi: 10.3934/dcdss.2020074 +[Abstract](365) +[HTML](228) +[PDF](3290.4KB)
Coordinate-independent criteria for Hopf bifurcations
Niclas Kruff and Sebastian Walcher
2019doi: 10.3934/dcdss.2020075 +[Abstract](368) +[HTML](227) +[PDF](442.32KB)
Nonautonomous gradient-like vector fields on the circle: Classification, structural stability and autonomization
Lev M. Lerman and Elena V. Gubina
2019doi: 10.3934/dcdss.2020076 +[Abstract](419) +[HTML](253) +[PDF](989.46KB)
Existence of quasiperiodic solutions of elliptic equations on the entire space with a quadratic nonlinearity
Peter Poláčik and Darío A. Valdebenito
2019doi: 10.3934/dcdss.2020077 +[Abstract](396) +[HTML](236) +[PDF](505.52KB)
Effective Hamiltonian dynamics via the Maupertuis principle
Hartmut Schwetlick, Daniel C. Sutton and Johannes Zimmer
2019doi: 10.3934/dcdss.2020078 +[Abstract](420) +[HTML](225) +[PDF](368.57KB)
Henri Poincaré's neglected ideas
Ferdinand Verhulst
2019doi: 10.3934/dcdss.2020079 +[Abstract](394) +[HTML](215) +[PDF](1362.68KB)
Preface to this special issue
Genni Fragnelli, Luca Lorenzi and Alain Miranville
2019doi: 10.3934/dcdss.2020080 +[Abstract](169) +[HTML](75) +[PDF](1535.99KB)
An identification problem for a linear evolution equation in a banach space
Viorel Barbu and Gabriela Marinoschi
2019doi: 10.3934/dcdss.2020081 +[Abstract](160) +[HTML](126) +[PDF](296.18KB)
Precise estimates for biorthogonal families under asymptotic gap conditions
Piermarco Cannarsa, Patrick Martinez and Judith Vancostenoble
2019doi: 10.3934/dcdss.2020082 +[Abstract](148) +[HTML](112) +[PDF](470.75KB)
Global existence for Laplace reaction-diffusion equations
Angelo Favini and Atsushi Yagi
2019doi: 10.3934/dcdss.2020083 +[Abstract](167) +[HTML](85) +[PDF](337.49KB)
Singular parabolic equations with interior degeneracy and non smooth coefficients: The Neumann case
Genni Fragnelli and Dimitri Mugnai
2019doi: 10.3934/dcdss.2020084 +[Abstract](143) +[HTML](95) +[PDF](399.63KB)
A generalized Cox-Ingersoll-Ross equation with growing initial conditions
Giséle Ruiz Goldstein, Jerome A. Goldstein, Rosa Maria Mininni and Silvia Romanelli
2019doi: 10.3934/dcdss.2020085 +[Abstract](131) +[HTML](78) +[PDF](392.38KB)
Vector-valued Schrödinger operators in Lp-spaces
Markus Kunze, Abdallah Maichine and Abdelaziz Rhandi
2019doi: 10.3934/dcdss.2020086 +[Abstract](155) +[HTML](79) +[PDF](325.56KB)
Mean periodic solutions of a inhomogeneous heat equation with random coefficients
Galina Kurina and Vladimir Zadorozhniy
2019doi: 10.3934/dcdss.2020087 +[Abstract](192) +[HTML](121) +[PDF](231.2KB)
The Stokes problem in fractal domains: Asymptotic behaviour of the solutions
Maria Rosaria Lancia and Paola Vernole
2019doi: 10.3934/dcdss.2020088 +[Abstract](155) +[HTML](84) +[PDF](669.54KB)
Stability and errors analysis of two iterative schemes of fractional steps type associated to a nonlinear reaction-diffusion equation
Costică Moroşanu
2019doi: 10.3934/dcdss.2020089 +[Abstract](161) +[HTML](80) +[PDF](497.78KB)
Joint identification via deconvolution of the flux and energy relaxation kernels of the Gurtin-Pipkin model in thermodynamics with memory
Luciano Pandolfi
2019doi: 10.3934/dcdss.2020090 +[Abstract](139) +[HTML](81) +[PDF](237.34KB)
The hypoelliptic Robin problem for quasilinear elliptic equations
Kazuaki Taira
2019doi: 10.3934/dcdss.2020091 +[Abstract](228) +[HTML](90) +[PDF](349.68KB)
Morse decomposition for gradient-like multi-valued autonomous and nonautonomous dynamical systems
Yejuan Wang and Tomás Caraballo
doi: 10.3934/dcdss.2020092 +[Abstract](119) +[HTML](76) +[PDF](424.77KB)
Explicit investment setting in a Kaldor macroeconomic model with macro shock
Zhenzhen Wang, Zhenghui Li, Shuanglian Chen and Zhehao Huang
doi: 10.3934/dcdss.2020093 +[Abstract](142) +[HTML](84) +[PDF](787.66KB)
Stability of the heat and of the wave equations with boundary time-varying delays
Serge Nicaise, Julie Valein and Emilia Fridman
2009, 2(3) : 559-581 doi: 10.3934/dcdss.2009.2.559 +[Abstract](1982) +[PDF](248.1KB) Cited By(48)
Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators
Juan-Luis Vázquez
2014, 7(4) : 857-885 doi: 10.3934/dcdss.2014.7.857 +[Abstract](2635) +[PDF](592.6KB) Cited By(47)
On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms
Claudianor O. Alves, M. M. Cavalcanti, Valeria N. Domingos Cavalcanti, Mohammad A. Rammaha and Daniel Toundykov
2009, 2(3) : 583-608 doi: 10.3934/dcdss.2009.2.583 +[Abstract](2190) +[PDF](327.1KB) Cited By(39)
Non-autonomous attractors for integro-differential evolution equations
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2009, 2(1) : 17-36 doi: 10.3934/dcdss.2009.2.17 +[Abstract](1892) +[PDF](245.6KB) Cited By(33)
A new finite element scheme for Landau-Lifchitz equations
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2008, 1(2) : 187-196 doi: 10.3934/dcdss.2008.1.187 +[Abstract](1751) +[PDF](185.3KB) Cited By(29)
Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions
Moez Daoulatli, Irena Lasiecka and Daniel Toundykov
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Dynamics of ratio-dependent Predator-Prey models with nonconstant harvesting
Benjamin Leard, Catherine Lewis and Jorge Rebaza
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Birth of canard cycles
Freddy Dumortier and Robert Roussarie
2009, 2(4) : 723-781 doi: 10.3934/dcdss.2009.2.723 +[Abstract](2071) +[PDF](593.2KB) Cited By(22)
A simple proof of well-posedness for the free-surface incompressible Euler equations
Daniel Coutand and Steve Shkoller
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New statistical symmetries of the multi-point equations and its importance for turbulent scaling laws
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Exact solutions of nonlinear partial differential equations
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Modeling the transmission dynamics of avian influenza with saturation and psychological effect
Muhammad Altaf Khan, Muhammad Farhan, Saeed Islam and Ebenezer Bonyah
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Numerical investigation of Cattanneo-Christov heat flux in CNT suspended nanofluid flow over a stretching porous surface with suction and injection
Noreen Sher Akbar, Dharmendra Tripathi and Zafar Hayat Khan
2018, 11(4) : 583-594 doi: 10.3934/dcdss.2018033 +[Abstract](3997) +[HTML](1014) +[PDF](543.46KB) PDF Downloads(157)
New exact solutions for some fractional order differential equations via improved sub-equation method
Berat Karaagac
2019, 12(3) : 447-454 doi: 10.3934/dcdss.2019029 +[Abstract](2243) +[HTML](178) +[PDF](846.56KB) PDF Downloads(154)
Preface: New trends on numerical analysis and analytical methods with their applications to real world problems
Abdon Atangana, Zakia Hammouch, Kolade M. Owolabi and Gisele Mephou
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Generalised class of Time Fractional Black Scholes equation and numerical analysis
Rodrigue Gnitchogna Batogna and Abdon Atangana
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On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent
Anouar Bahrouni and VicenŢiu D. RĂdulescu
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Weak solutions of stochastic reaction diffusion equations and their optimal control
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Generalized fractional derivatives and Laplace transform
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The work of Norman Dancer
Yihong Du
2019, 12(7) : 1807-1833 doi: 10.3934/dcdss.2019119 +[Abstract](948) +[HTML](467) +[PDF](563.04KB) PDF Downloads(123)

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