ISSN:
 1078-0947

eISSN:
 1553-5231

All Issues

Volume 41, 2021

Volume 40, 2020

Volume 39, 2019

Volume 38, 2018

Volume 37, 2017

Volume 36, 2016

Volume 35, 2015

Volume 34, 2014

Volume 33, 2013

Volume 32, 2012

Volume 31, 2011

Volume 30, 2011

Volume 29, 2011

Volume 28, 2010

Volume 27, 2010

Volume 26, 2010

Volume 25, 2009

Volume 24, 2009

Volume 23, 2009

Volume 22, 2008

Volume 21, 2008

Volume 20, 2008

Volume 19, 2007

Volume 18, 2007

Volume 17, 2007

Volume 16, 2006

Volume 15, 2006

Volume 14, 2006

Volume 13, 2005

Volume 12, 2005

Volume 11, 2004

Volume 10, 2004

Volume 9, 2003

Volume 8, 2002

Volume 7, 2001

Volume 6, 2000

Volume 5, 1999

Volume 4, 1998

Volume 3, 1997

Volume 2, 1996

Volume 1, 1995

DCDS Flyer: showing all essential information of the journal.
Discrete & Continuous Dynamical Systems (DCDS) includes peer-reviewed original papers and invited expository papers on the theory and methods of analysis, differential equations and dynamical systems. This journal is committed to recording important new results in its field and maintains the highest standards of innovation and quality. To be published in this journal, an original paper must be correct, new, nontrivial and of interest to a substantial number of readers.


Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.

Select all articles

Export/Reference:

Asymptotic behavior of entire solutions to reaction-diffusion equations in an infinite star graph
Shuichi Jimbo and Yoshihisa Morita
2021, 41(9) : 4013-4039 doi: 10.3934/dcds.2021026 +[Abstract](363) +[HTML](168) +[PDF](696.14KB)
On the dynamics of 3D electrified falling films
Jiao He and Rafael Granero-Belinchón
2021, 41(9) : 4041-4064 doi: 10.3934/dcds.2021027 +[Abstract](262) +[HTML](135) +[PDF](722.63KB)
Global generalized solutions to a chemotaxis model of capillary-sprout growth during tumor angiogenesis
Xueli Bai and Wenji Zhang
2021, 41(9) : 4065-4083 doi: 10.3934/dcds.2021028 +[Abstract](267) +[HTML](136) +[PDF](447.07KB)
Best approximation of orbits in iterated function systems
Saisai Shi, Bo Tan and Qinglong Zhou
2021, 41(9) : 4085-4104 doi: 10.3934/dcds.2021029 +[Abstract](317) +[HTML](138) +[PDF](398.14KB)
On multiplicity of semi-classical solutions to nonlinear Dirac equations of space-dimension $ n $
Yanheng Ding, Xiaojing Dong and Qi Guo
2021, 41(9) : 4105-4123 doi: 10.3934/dcds.2021030 +[Abstract](247) +[HTML](130) +[PDF](422.37KB)
Existence of solution for a class of heat equation in whole $ \mathbb{R}^N $
Claudianor O. Alves and Tahir Boudjeriou
2021, 41(9) : 4125-4144 doi: 10.3934/dcds.2021031 +[Abstract](224) +[HTML](117) +[PDF](436.45KB)
Coexistence and exclusion of competitive Kolmogorov systems with semi-Markovian switching
Dan Li and Hui Wan
2021, 41(9) : 4145-4183 doi: 10.3934/dcds.2021032 +[Abstract](305) +[HTML](139) +[PDF](514.95KB)
Partial regularity and Liouville theorems for stable solutions of anisotropic elliptic equations
Mostafa Fazly and Yuan Li
2021, 41(9) : 4185-4206 doi: 10.3934/dcds.2021033 +[Abstract](249) +[HTML](122) +[PDF](460.98KB)
Local well-posedness for the derivative nonlinear Schrödinger equation with $ L^2 $-subcritical data
Shaoming Guo, Xianfeng Ren and Baoxiang Wang
2021, 41(9) : 4207-4253 doi: 10.3934/dcds.2021034 +[Abstract](291) +[HTML](160) +[PDF](589.25KB)
Turing instability and dynamic phase transition for the Brusselator model with multiple critical eigenvalues
Yuncherl Choi, Taeyoung Ha, Jongmin Han, Sewoong Kim and Doo Seok Lee
2021, 41(9) : 4255-4281 doi: 10.3934/dcds.2021035 +[Abstract](288) +[HTML](132) +[PDF](1952.82KB)
Singular double-phase systems with variable growth for the Baouendi-Grushin operator
Anouar Bahrouni and Vicenţiu D. Rădulescu
2021, 41(9) : 4283-4296 doi: 10.3934/dcds.2021036 +[Abstract](683) +[HTML](130) +[PDF](349.33KB)
Supercritical elliptic problems involving a Cordes like operator
Craig Cowan
2021, 41(9) : 4297-4318 doi: 10.3934/dcds.2021037 +[Abstract](221) +[HTML](85) +[PDF](464.46KB)
Permutations with restricted movement
Dor Elimelech
2021, 41(9) : 4319-4349 doi: 10.3934/dcds.2021038 +[Abstract](216) +[HTML](92) +[PDF](676.34KB)
PDEs on graphs for semi-supervised learning applied to first-person activity recognition in body-worn video
Hao Li, Honglin Chen, Matt Haberland, Andrea L. Bertozzi and P. Jeffrey Brantingham
2021, 41(9) : 4351-4373 doi: 10.3934/dcds.2021039 +[Abstract](210) +[HTML](130) +[PDF](2975.15KB)
Flows with the weak two-sided limit shadowing property
Jihoon Lee and Ngocthach Nguyen
2021, 41(9) : 4375-4395 doi: 10.3934/dcds.2021040 +[Abstract](253) +[HTML](87) +[PDF](389.52KB)
Partial regularity and the Minkowski dimension of singular points for suitable weak solutions to the 3D simplified Ericksen–Leslie system
Qiao Liu
2021, 41(9) : 4397-4419 doi: 10.3934/dcds.2021041 +[Abstract](192) +[HTML](98) +[PDF](523.14KB)
Dirichlet and transmission problems for anisotropic stokes and Navier-Stokes systems with L tensor coefficient under relaxed ellipticity condition
Mirela Kohr, Sergey E. Mikhailov and Wolfgang L. Wendland
2021, 41(9) : 4421-4460 doi: 10.3934/dcds.2021042 +[Abstract](242) +[HTML](114) +[PDF](631.89KB)
Pointwise gradient bounds for a class of very singular quasilinear elliptic equations
Minh-Phuong Tran and Thanh-Nhan Nguyen
2021, 41(9) : 4461-4476 doi: 10.3934/dcds.2021043 +[Abstract](360) +[HTML](100) +[PDF](412.32KB)
Centralizers of partially hyperbolic diffeomorphisms in dimension 3
Thomas Barthelmé and Andrey Gogolev
2021, 41(9) : 4477-4484 doi: 10.3934/dcds.2021044 +[Abstract](186) +[HTML](96) +[PDF](289.54KB)
Equilibrium states for non-uniformly hyperbolic systems: Statistical properties and analyticity
Suzete Maria Afonso, Vanessa Ramos and Jaqueline Siqueira
2021, 41(9) : 4485-4513 doi: 10.3934/dcds.2021045 +[Abstract](236) +[HTML](88) +[PDF](624.19KB)
Counting finite orbits for the flip systems of shifts of finite type
Azmeer Nordin and Mohd Salmi Md Noorani
2021doi: 10.3934/dcds.2021046 +[Abstract](191) +[HTML](81) +[PDF](333.28KB)
Floquet solutions for the Schrödinger equation with fast-oscillating quasi-periodic potentials
Yingte Sun
2021doi: 10.3934/dcds.2021047 +[Abstract](177) +[HTML](76) +[PDF](309.84KB)
On the critical decay for the wave equation with a cubic convolution in 3D
Tomoyuki Tanaka and Kyouhei Wakasa
2021doi: 10.3934/dcds.2021048 +[Abstract](233) +[HTML](78) +[PDF](384.97KB)
On conormal derivative problem for parabolic equations with Dini mean oscillation coefficients
Hongjie Dong and Xinghong Pan
2021doi: 10.3934/dcds.2021049 +[Abstract](175) +[HTML](73) +[PDF](447.07KB)
Variational relations for metric mean dimension and rate distortion dimension
Tao Wang
2021doi: 10.3934/dcds.2021050 +[Abstract](242) +[HTML](81) +[PDF](360.16KB)
Unique solvability of elliptic problems associated with two-phase incompressible flows in unbounded domains
Hirokazu Saito and Xin Zhang
2021doi: 10.3934/dcds.2021051 +[Abstract](137) +[HTML](51) +[PDF](605.01KB)
A new approach to MGT-thermoviscoelasticity
Monica Conti, Vittorino Pata, Marta Pellicer and Ramon Quintanilla
2021doi: 10.3934/dcds.2021052 +[Abstract](124) +[HTML](47) +[PDF](429.33KB)
Differentiable invariant manifolds of nilpotent parabolic points
Clara Cufí-Cabré and Ernest Fontich
2021doi: 10.3934/dcds.2021053 +[Abstract](109) +[HTML](56) +[PDF](551.56KB)
Infinitely many positive solutions for Schrödinger-poisson systems with nonsymmetry potentials
Fangyi Qin, Jun Wang and Jing Yang
2021doi: 10.3934/dcds.2021054 +[Abstract](152) +[HTML](57) +[PDF](650.67KB)
A variational approach to three-phase traveling waves for a gradient system
Chiun-Chuan Chen, Hung-Yu Chien and Chih-Chiang Huang
2021doi: 10.3934/dcds.2021055 +[Abstract](184) +[HTML](103) +[PDF](928.46KB)
On the non-degeneracy of radial vortex solutions for a coupled Ginzburg-Landau system
Lipeng Duan and Jun Yang
2021doi: 10.3934/dcds.2021056 +[Abstract](199) +[HTML](74) +[PDF](405.38KB)
On the mixing and Bernoulli properties for geodesic flows on rank 1 manifolds without focal points
Fei Liu, Xiaokai Liu and Fang Wang
2021doi: 10.3934/dcds.2021057 +[Abstract](140) +[HTML](66) +[PDF](637.1KB)
Infinitely many radial solutions for a $ p $-Laplacian problem with indefinite weight
Alfonso Castro, Jorge Cossio, Sigifredo Herrón and Carlos Vélez
2021doi: 10.3934/dcds.2021058 +[Abstract](206) +[HTML](73) +[PDF](337.67KB)
An approximation of forward self-similar solutions to the 3D Navier-Stokes system
Francis Hounkpe and Gregory Seregin
2021doi: 10.3934/dcds.2021059 +[Abstract](170) +[HTML](76) +[PDF](377.84KB)
Refined construction of type II blow-up solutions for semilinear heat equations with Joseph–Lundgren supercritical nonlinearity
Asato Mukai and Yukihiro Seki
2021doi: 10.3934/dcds.2021060 +[Abstract](130) +[HTML](67) +[PDF](543.68KB)
Multiple positive bound state solutions for a critical Choquard equation
Claudianor O. Alves, Giovany M. Figueiredo and Riccardo Molle
2021doi: 10.3934/dcds.2021061 +[Abstract](149) +[HTML](52) +[PDF](453.96KB)
Singularity formation for compressible Euler equations with time-dependent damping
Ying Sui and Huimin Yu
2021doi: 10.3934/dcds.2021062 +[Abstract](97) +[HTML](53) +[PDF](419.9KB)
Symmetries of vector fields: The diffeomorphism centralizer
Davi Obata
2021doi: 10.3934/dcds.2021063 +[Abstract](104) +[HTML](60) +[PDF](369.1KB)
Asymptotic speed of spread for a nonlocal evolutionary-epidemic system
Lara Abi Rizk, Jean-Baptiste Burie and Arnaud Ducrot
2021doi: 10.3934/dcds.2021064 +[Abstract](163) +[HTML](60) +[PDF](393.7KB)
Convergence of nonlocal geometric flows to anisotropic mean curvature motion
Annalisa Cesaroni and Valerio Pagliari
2021doi: 10.3934/dcds.2021065 +[Abstract](132) +[HTML](69) +[PDF](383.21KB)
Modeling of crowds in regions with moving obstacles
Nadezhda Maltugueva and Nikolay Pogodaev
2021doi: 10.3934/dcds.2021066 +[Abstract](99) +[HTML](64) +[PDF](960.73KB)
A phase transition for circle maps with a flat spot and different critical exponents
Liviana Palmisano and Bertuel Tangue Ndawa
2021doi: 10.3934/dcds.2021067 +[Abstract](117) +[HTML](44) +[PDF](365.43KB)
Transfers of energy through fast diffusion channels in some resonant PDEs on the circle
Filippo Giuliani
2021doi: 10.3934/dcds.2021068 +[Abstract](239) +[HTML](57) +[PDF](437.94KB)
Einstein-Lichnerowicz type singular perturbations of critical nonlinear elliptic equations in dimension 3
Bruno Premoselli
2021doi: 10.3934/dcds.2021069 +[Abstract](103) +[HTML](45) +[PDF](350.7KB)
Carleman estimates for a class of variable coefficient degenerate elliptic operators with applications to unique continuation
Agnid Banerjee and Ramesh Manna
2021doi: 10.3934/dcds.2021070 +[Abstract](120) +[HTML](58) +[PDF](410.15KB)
Global existence and decay rates of the solutions for a chemotaxis system with Lotka-Volterra type model for chemoattractant and repellent
Harumi Hattori and Aesha Lagha
2021doi: 10.3934/dcds.2021071 +[Abstract](107) +[HTML](51) +[PDF](398.64KB)
Uniqueness properties of the KAM curve
Frank Trujillo
2021doi: 10.3934/dcds.2021072 +[Abstract](53) +[HTML](14) +[PDF](371.83KB)
Nonlinear stability of elliptic equilibria in hamiltonian systems with exponential time estimates
Daniela Cárcamo-Díaz, Jesús F. Palacián, Claudio Vidal and Patricia Yanguas
2021doi: 10.3934/dcds.2021073 +[Abstract](83) +[HTML](19) +[PDF](570.87KB)
Classification of solutions to a nonlocal equation with doubly Hardy-Littlewood-Sobolev critical exponents
Minbo Yang, Fukun Zhao and Shunneng Zhao
2021doi: 10.3934/dcds.2021074 +[Abstract](74) +[HTML](27) +[PDF](601.94KB)
The graph of the logistic map is a tower
Roberto De Leo and James A. Yorke
2021doi: 10.3934/dcds.2021075 +[Abstract](54) +[HTML](20) +[PDF](4674.96KB)
Well-posedness and critical thresholds in a nonlocal Euler system with relaxation
Manas Bhatnagar and Hailiang Liu
2021doi: 10.3934/dcds.2021076 +[Abstract](52) +[HTML](15) +[PDF](435.17KB)
A proof by foliation that lawson's cones are $ A_{\Phi} $-minimizing
Connor Mooney and Yang Yang
2021doi: 10.3934/dcds.2021077 +[Abstract](51) +[HTML](18) +[PDF](504.71KB)
Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
Jie Shen and Xiaofeng Yang
2010, 28(4) : 1669-1691 doi: 10.3934/dcds.2010.28.1669 +[Abstract](7092) +[PDF](382.7KB) Cited By(319)
Variational methods for non-local operators of elliptic type
Raffaella Servadei and Enrico Valdinoci
2013, 33(5) : 2105-2137 doi: 10.3934/dcds.2013.33.2105 +[Abstract](5035) +[PDF](418.8KB) Cited By(292)
Global well-posedness of the viscous Boussinesq equations
Thomas Y. Hou and Congming Li
2005, 12(1) : 1-12 doi: 10.3934/dcds.2005.12.1 +[Abstract](3774) +[PDF](203.5KB) Cited By(209)
Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
Xiaoyue Li and Xuerong Mao
2009, 24(2) : 523-545 doi: 10.3934/dcds.2009.24.523 +[Abstract](7087) +[PDF](262.8KB) Cited By(202)
Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
Joachim Escher, Olaf Lechtenfeld and Zhaoyang Yin
2007, 19(3) : 493-513 doi: 10.3934/dcds.2007.19.493 +[Abstract](5208) +[PDF](233.8KB) Cited By(202)
Global attractors for damped semilinear wave equations
John M. Ball
2004, 10(1&2) : 31-52 doi: 10.3934/dcds.2004.10.31 +[Abstract](6448) +[PDF](246.2KB) Cited By(198)
Partial regularity of the dynamic system modeling the flow of liquid crystals
Fanghua Lin and Chun Liu
1996, 2(1) : 1-22 doi: 10.3934/dcds.1996.2.1 +[Abstract](3378) +[PDF](222.9KB) Cited By(170)
The problem Of blow-up in nonlinear parabolic equations
Victor A. Galaktionov and Juan-Luis Vázquez
2002, 8(2) : 399-433 doi: 10.3934/dcds.2002.8.399 +[Abstract](5598) +[PDF](369.4KB) Cited By(169)
Remarks on regularities for the 3D MHD equations
Yong Zhou
2005, 12(5) : 881-886 doi: 10.3934/dcds.2005.12.881 +[Abstract](4018) +[PDF](176.3KB) Cited By(168)
Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
Linda J. S. Allen, B. M. Bolker, Yuan Lou and A. L. Nevai
2008, 21(1) : 1-20 doi: 10.3934/dcds.2008.21.1 +[Abstract](6944) +[PDF](401.1KB) Cited By(155)
The problem Of blow-up in nonlinear parabolic equations
Victor A. Galaktionov and Juan-Luis Vázquez
2002, 8(2) : 399-433 doi: 10.3934/dcds.2002.8.399 +[Abstract](5598) +[PDF](369.4KB) PDF Downloads(1634)
Some questions looking for answers in dynamical systems
Carles Simó
2018, 38(12) : 6215-6239 doi: 10.3934/dcds.2018267 +[Abstract](5061) +[HTML](365) +[PDF](531.03KB) PDF Downloads(1529)
The vorticity equation on a rotating sphere and the shallow fluid approximation
Vikas S. Krishnamurthy
2019, 39(11) : 6261-6276 doi: 10.3934/dcds.2019273 +[Abstract](1414) +[HTML](161) +[PDF](370.02KB) PDF Downloads(806)
Conditional measures and conditional expectation; Rohlin's Disintegration Theorem
David Simmons
2012, 32(7) : 2565-2582 doi: 10.3934/dcds.2012.32.2565 +[Abstract](3186) +[PDF](444.9KB) PDF Downloads(740)
Differentiability of the Hartman--Grobman linearization
Misha Guysinsky, Boris Hasselblatt and Victoria Rayskin
2003, 9(4) : 979-984 doi: 10.3934/dcds.2003.9.979 +[Abstract](2356) +[PDF](131.0KB) PDF Downloads(721)
Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
Linda J. S. Allen, B. M. Bolker, Yuan Lou and A. L. Nevai
2008, 21(1) : 1-20 doi: 10.3934/dcds.2008.21.1 +[Abstract](6944) +[PDF](401.1KB) PDF Downloads(610)
Regularity and classification of solutions to static Hartree equations involving fractional Laplacians
Wei Dai, Jiahui Huang, Yu Qin, Bo Wang and Yanqin Fang
2019, 39(3) : 1389-1403 doi: 10.3934/dcds.2018117 +[Abstract](5706) +[HTML](887) +[PDF](472.85KB) PDF Downloads(536)
Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
Jie Shen and Xiaofeng Yang
2010, 28(4) : 1669-1691 doi: 10.3934/dcds.2010.28.1669 +[Abstract](7092) +[PDF](382.7KB) PDF Downloads(534)
On the spectral theory of positive operators and PDE applications
Kung-Ching Chang, Xuefeng Wang and Xie Wu
2020, 40(6) : 3171-3200 doi: 10.3934/dcds.2020054 +[Abstract](1733) +[HTML](464) +[PDF](460.48KB) PDF Downloads(523)
A nonlinear parabolic-hyperbolic system for contact inhibition and a degenerate parabolic fisher kpp equation
Michiel Bertsch, Danielle Hilhorst, Hirofumi Izuhara, Masayasu Mimura and Tohru Wakasa
2020, 40(6) : 3117-3142 doi: 10.3934/dcds.2019226 +[Abstract](2546) +[HTML](644) +[PDF](496.79KB) PDF Downloads(507)

2019  Impact Factor: 1.338

Editors

Referees

Librarians

Email Alert

[Back to Top]