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AIMS joins the mathematics community world wide in congratulating Professor Alessio Figalli on being awarded the Fields Medal 2018. Professor Figallihas made important contributions to AIMS journals and conferences. Heserved as the Managing Editor of Discrete and Continuous Dynamical Systemsfrom 2012 to 2016 and delivered a plenary lecture at the 11th AIMS conference (2016) in Orlando, USA. Details can be found at

Congratulations, Alessio!

DCDS, series A 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.

Flyer Celebrating 25 Years of DCDS (free access codes included)

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

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Symmetry and nonexistence results for a fractional Choquard equation with weights
Anh Tuan Duong, Phuong Le and Nhu Thang Nguyen
2021, 41(2) : 489-505 doi: 10.3934/dcds.2020265 +[Abstract](571) +[HTML](222) +[PDF](454.71KB)
The unique measure of maximal entropy for a compact rank one locally CAT(0) space
Russell Ricks
2021, 41(2) : 507-523 doi: 10.3934/dcds.2020266 +[Abstract](385) +[HTML](203) +[PDF](433.97KB)
Mean Li-Yorke chaotic set along polynomial sequence with full Hausdorff dimension for $ \beta $-transformation
Yuanfen Xiao
2021, 41(2) : 525-536 doi: 10.3934/dcds.2020267 +[Abstract](423) +[HTML](189) +[PDF](429.59KB)
Monotonicity for fractional Laplacian systems in unbounded Lipschitz domains
Lingwei Ma and Zhenqiu Zhang
2021, 41(2) : 537-552 doi: 10.3934/dcds.2020268 +[Abstract](390) +[HTML](235) +[PDF](480.81KB)
Local rigidity of certain solvable group actions on tori
Qiao Liu
2021, 41(2) : 553-567 doi: 10.3934/dcds.2020269 +[Abstract](387) +[HTML](198) +[PDF](401.22KB)
Pullback attractor for a weakly damped wave equation with sup-cubic nonlinearity
Xinyu Mei, Yangmin Xiong and Chunyou Sun
2021, 41(2) : 569-600 doi: 10.3934/dcds.2020270 +[Abstract](421) +[HTML](195) +[PDF](628.24KB)
Maximal factors of order $ d $ of dynamical cubespaces
Jiahao Qiu and Jianjie Zhao
2021, 41(2) : 601-620 doi: 10.3934/dcds.2020278 +[Abstract](296) +[HTML](153) +[PDF](435.68KB)
Singular solutions of a Lane-Emden system
Craig Cowan and Abdolrahman Razani
2021, 41(2) : 621-656 doi: 10.3934/dcds.2020291 +[Abstract](359) +[HTML](177) +[PDF](606.07KB)
Uniform stability estimate for the Vlasov-Poisson-Boltzmann system
Hao Wang
2021, 41(2) : 657-680 doi: 10.3934/dcds.2020292 +[Abstract](400) +[HTML](168) +[PDF](465.97KB)
Asymptotic behavior of minimal solutions of $ -\Delta u = \lambda f(u) $ as $ \lambda\to-\infty $
Luca Battaglia, Francesca Gladiali and Massimo Grossi
2021, 41(2) : 681-700 doi: 10.3934/dcds.2020293 +[Abstract](302) +[HTML](147) +[PDF](507.79KB)
Construction of a solitary wave solution of the nonlinear focusing schrödinger equation outside a strictly convex obstacle in the $ L^2 $-supercritical case
Oussama Landoulsi
2021, 41(2) : 701-746 doi: 10.3934/dcds.2020298 +[Abstract](294) +[HTML](148) +[PDF](722.63KB)
Large time behavior of exchange-driven growth
Emre Esentürk and Juan Velazquez
2021, 41(2) : 747-775 doi: 10.3934/dcds.2020299 +[Abstract](290) +[HTML](145) +[PDF](565.38KB)
Attainability property for a probabilistic target in wasserstein spaces
Giulia Cavagnari and Antonio Marigonda
2021, 41(2) : 777-812 doi: 10.3934/dcds.2020300 +[Abstract](272) +[HTML](141) +[PDF](749.28KB)
Asymptotic dynamics of a system of conservation laws from chemotaxis
Neng Zhu, Zhengrong Liu, Fang Wang and Kun Zhao
2021, 41(2) : 813-847 doi: 10.3934/dcds.2020301 +[Abstract](288) +[HTML](148) +[PDF](558.97KB)
Well-posedness of some non-linear stable driven SDEs
Noufel Frikha, Valentin Konakov and Stéphane Menozzi
2021, 41(2) : 849-898 doi: 10.3934/dcds.2020302 +[Abstract](352) +[HTML](150) +[PDF](830.14KB)
A generalization of the Babbage functional equation
Marc Homs-Dones
2021, 41(2) : 899-919 doi: 10.3934/dcds.2020303 +[Abstract](330) +[HTML](165) +[PDF](528.69KB)
Low Mach number limit for the compressible inertial Qian-Sheng model of liquid crystals: Convergence for classical solutions
Yi-Long Luo and Yangjun Ma
2021, 41(2) : 921-966 doi: 10.3934/dcds.2020304 +[Abstract](334) +[HTML](152) +[PDF](702.5KB)
Geometric singular perturbation analysis of Degasperis-Procesi equation with distributed delay
Feifei Cheng and Ji Li
2021, 41(2) : 967-985 doi: 10.3934/dcds.2020305 +[Abstract](356) +[HTML](160) +[PDF](463.94KB)
$ N- $Laplacian problems with critical double exponential nonlinearities
Shengbing Deng, Tingxi Hu and Chun-Lei Tang
2021, 41(2) : 987-1003 doi: 10.3934/dcds.2020306 +[Abstract](261) +[HTML](139) +[PDF](462.49KB)
Recoding Lie algebraic subshifts
Ville Salo and Ilkka Törmä
2021, 41(2) : 1005-1021 doi: 10.3934/dcds.2020307 +[Abstract](318) +[HTML](159) +[PDF](427.5KB)
Properties of the minimizers for a constrained minimization problem arising in Kirchhoff equation
Helin Guo and Huan-Song Zhou
2020doi: 10.3934/dcds.2020308 +[Abstract](293) +[HTML](139) +[PDF](470.54KB)
Pomeau-Manneville maps are global-local mixing
Claudio Bonanno and Marco Lenci
2020doi: 10.3934/dcds.2020309 +[Abstract](335) +[HTML](157) +[PDF](380.22KB)
Existence uniqueness and regularity theory for elliptic equations with complex-valued potentials
Tuoc Phan, Grozdena Todorova and Borislav Yordanov
2020doi: 10.3934/dcds.2020310 +[Abstract](378) +[HTML](187) +[PDF](432.97KB)
Solution of the 33rd Palis-Pugh problem for gradient-like diffeomorphisms of a two-dimensional sphere
Elena Nozdrinova and Olga Pochinka
2020doi: 10.3934/dcds.2020311 +[Abstract](305) +[HTML](176) +[PDF](24076.94KB)
Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity
Jean-Claude Saut and Yuexun Wang
2020doi: 10.3934/dcds.2020312 +[Abstract](328) +[HTML](160) +[PDF](358.53KB)
Periodic solutions and Hyers-Ulam stability of atmospheric Ekman flows
Yi Guan, Michal Fečkan and Jinrong Wang
2020doi: 10.3934/dcds.2020313 +[Abstract](284) +[HTML](156) +[PDF](391.87KB)
Multiple ergodic averages for tempered functions
Andreas Koutsogiannis
2020doi: 10.3934/dcds.2020314 +[Abstract](267) +[HTML](155) +[PDF](491.36KB)
Asymptotic stability in a chemotaxis-competition system with indirect signal production
Pan Zheng
2020doi: 10.3934/dcds.2020315 +[Abstract](235) +[HTML](143) +[PDF](390.91KB)
On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations
Andrew Comech and Scipio Cuccagna
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On entropy of $ \Phi $-irregular and $ \Phi $-level sets in maps with the shadowing property
Magdalena Foryś-Krawiec, Jiří Kupka, Piotr Oprocha and Xueting Tian
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Blow-up and bounded solutions for a semilinear parabolic problem in a saturable medium
Juliana Fernandes and Liliane Maia
2020doi: 10.3934/dcds.2020318 +[Abstract](260) +[HTML](143) +[PDF](393.23KB)
Entropy production in random billiards
Timothy Chumley and Renato Feres
2020doi: 10.3934/dcds.2020319 +[Abstract](204) +[HTML](130) +[PDF](889.91KB)
Gromov-Hausdorff stability for group actions
Meihua Dong, Keonhee Lee and Carlos Morales
2020doi: 10.3934/dcds.2020320 +[Abstract](225) +[HTML](120) +[PDF](257.96KB)
Sharp regularity for degenerate obstacle type problems: A geometric approach
João Vitor da Silva and Hernán Vivas
2020doi: 10.3934/dcds.2020321 +[Abstract](205) +[HTML](112) +[PDF](505.09KB)
Global large solutions and optimal time-decay estimates to the Korteweg system
Xiaoping Zhai and Yongsheng Li
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A sharp scattering threshold level for mass-subcritical nonlinear Schrödinger system
Masaru Hamano and Satoshi Masaki
2020doi: 10.3934/dcds.2020323 +[Abstract](239) +[HTML](117) +[PDF](492.71KB)
Mean-square random invariant manifolds for stochastic differential equations
Bixiang Wang
2020doi: 10.3934/dcds.2020324 +[Abstract](252) +[HTML](107) +[PDF](360.68KB)
Global graph of metric entropy on expanding Blaschke products
Yunping Jiang
2020doi: 10.3934/dcds.2020325 +[Abstract](205) +[HTML](125) +[PDF](325.86KB)
Existence of nodal solutions for the sublinear Moore-Nehari differential equation
Ryuji Kajikiya
2020doi: 10.3934/dcds.2020326 +[Abstract](206) +[HTML](116) +[PDF](380.59KB)
Failure of scattering to solitary waves for long-range nonlinear Schrödinger equations
Jason Murphy and Kenji Nakanishi
2020doi: 10.3934/dcds.2020328 +[Abstract](215) +[HTML](107) +[PDF](361.49KB)
Averaging of Hamilton-Jacobi equations along divergence-free vector fields
Hitoshi Ishii and Taiga Kumagai
2020doi: 10.3934/dcds.2020329 +[Abstract](212) +[HTML](103) +[PDF](413.61KB)
Jordan decomposition and the recurrent set of flows of automorphisms
Víctor Ayala, Adriano Da Silva and Philippe Jouan
2020doi: 10.3934/dcds.2020330 +[Abstract](212) +[HTML](112) +[PDF](388.19KB)
A Liouville theorem of parabolic Monge-AmpÈre equations in half-space
Ziwei Zhou, Jiguang Bao and Bo Wang
2020doi: 10.3934/dcds.2020331 +[Abstract](238) +[HTML](111) +[PDF](397.62KB)
Well-posedness for the three dimensional stochastic planetary geostrophic equations of large-scale ocean circulation
Bo You
2020doi: 10.3934/dcds.2020332 +[Abstract](189) +[HTML](111) +[PDF](439.79KB)
Classification of nonnegative solutions to an equation involving the Laplacian of arbitrary order
Phuong Le
2020doi: 10.3934/dcds.2020333 +[Abstract](320) +[HTML](113) +[PDF](387.19KB)
The relationship between word complexity and computational complexity in subshifts
Ronnie Pavlov and Pascal Vanier
2020doi: 10.3934/dcds.2020334 +[Abstract](141) +[HTML](75) +[PDF](425.6KB)
Recurrence for measurable semigroup actions
Michael Blank
2020doi: 10.3934/dcds.2020335 +[Abstract](153) +[HTML](80) +[PDF](392.0KB)
Mckean-Vlasov sdes with drifts discontinuous under wasserstein distance
Xing Huang and Feng-Yu Wang
2020doi: 10.3934/dcds.2020336 +[Abstract](127) +[HTML](72) +[PDF](461.6KB)
Global stability in a multi-dimensional predator-prey system with prey-taxis
Dan Li
2020doi: 10.3934/dcds.2020337 +[Abstract](153) +[HTML](78) +[PDF](458.1KB)
Local well-posedness for the Klein-Gordon-Zakharov system in 3D
Hartmut Pecher
2020doi: 10.3934/dcds.2020338 +[Abstract](150) +[HTML](75) +[PDF](470.51KB)
Dynamical Borel–Cantelli lemmas
Viktoria Xing
2020doi: 10.3934/dcds.2020339 +[Abstract](161) +[HTML](87) +[PDF](403.79KB)
Invisible tricorns in real slices of rational maps
Russell Lodge and Sabyasachi Mukherjee
2020doi: 10.3934/dcds.2020340 +[Abstract](182) +[HTML](83) +[PDF](6800.03KB)
Anomalous time-scaling of extreme events in infinite systems and Birkhoff sums of infinite observables
Stefano Galatolo, Mark Holland, Tomas Persson and Yiwei Zhang
2020doi: 10.3934/dcds.2020341 +[Abstract](158) +[HTML](86) +[PDF](672.69KB)
Spatial dynamics and optimization method for a network propagation model in a shifting environment
Linhe Zhu and Wenshan Liu
2020doi: 10.3934/dcds.2020342 +[Abstract](141) +[HTML](81) +[PDF](2206.36KB)
Reversible perturbations of conservative Hénon-like maps
Marina Gonchenko, Sergey Gonchenko and Klim Safonov
2020doi: 10.3934/dcds.2020343 +[Abstract](147) +[HTML](90) +[PDF](659.37KB)
Strichartz estimates and local regularity for the elastic wave equation with singular potentials
Seongyeon Kim, Yehyun Kwon and Ihyeok Seo
2020doi: 10.3934/dcds.2020344 +[Abstract](152) +[HTML](65) +[PDF](491.6KB)
Diffeomorphisms with a generalized Lipschitz shadowing property
Manseob Lee, Jumi Oh and Xiao Wen
2020doi: 10.3934/dcds.2020346 +[Abstract](126) +[HTML](75) +[PDF](340.19KB)
Splitting theorems on complete Riemannian manifolds with nonnegative Ricci curvature
Alberto Farina and Jesús Ocáriz
2020doi: 10.3934/dcds.2020347 +[Abstract](161) +[HTML](81) +[PDF](273.68KB)
Steady asymmetric vortex pairs for Euler equations
Zineb Hassainia and Taoufik Hmidi
2020doi: 10.3934/dcds.2020348 +[Abstract](145) +[HTML](82) +[PDF](432.82KB)
Asymptotic stability of viscous contact wave for the inflow problem of the one-dimensional radiative Euler equations
Lili Fan, Lizhi Ruan and Wei Xiang
2020doi: 10.3934/dcds.2020349 +[Abstract](146) +[HTML](73) +[PDF](467.7KB)
Measures and stabilizers of group Cantor actions
Maik Gröger and Olga Lukina
2020doi: 10.3934/dcds.2020350 +[Abstract](141) +[HTML](89) +[PDF](421.0KB)
A $ G^{\delta, 1} $ almost conservation law for mCH and the evolution of its radius of spatial analyticity
A. Alexandrou Himonas and Gerson Petronilho
2020doi: 10.3934/dcds.2020351 +[Abstract](155) +[HTML](75) +[PDF](381.49KB)
Cylinder absolute games on solenoids
L. Singhal
2020doi: 10.3934/dcds.2020352 +[Abstract](161) +[HTML](56) +[PDF](390.92KB)
Entropy conjugacy for Markov multi-maps of the interval
James P. Kelly and Kevin McGoff
2020doi: 10.3934/dcds.2020353 +[Abstract](100) +[HTML](63) +[PDF](458.98KB)
Minimal period solutions in asymptotically linear Hamiltonian system with symmetries
Zhiping Fan and Duanzhi Zhang
2020doi: 10.3934/dcds.2020354 +[Abstract](153) +[HTML](64) +[PDF](404.94KB)
Gamma convergence and asymptotic behavior for eigenvalues of nonlocal problems
Julián Fernández Bonder, Analía Silva and Juan F. Spedaletti
2020doi: 10.3934/dcds.2020355 +[Abstract](124) +[HTML](56) +[PDF](332.94KB)
Thermodynamic formalism of $ \text{GL}_2(\mathbb{R}) $-cocycles with canonical holonomies
Clark Butler and Kiho Park
2020doi: 10.3934/dcds.2020356 +[Abstract](150) +[HTML](62) +[PDF](460.79KB)
Radially symmetric stationary wave for two-dimensional Burgers equation
Huijiang Zhao and Qingsong Zhao
2020doi: 10.3934/dcds.2020357 +[Abstract](124) +[HTML](59) +[PDF](392.96KB)
Integral equations on compact CR manifolds
Yazhou Han
2020doi: 10.3934/dcds.2020358 +[Abstract](100) +[HTML](51) +[PDF](401.99KB)
Quantitative oppenheim conjecture for $ S $-arithmetic quadratic forms of rank $ 3 $ and $ 4 $
Jiyoung Han
2020doi: 10.3934/dcds.2020359 +[Abstract](94) +[HTML](50) +[PDF](393.04KB)
Martingale solution for stochastic active liquid crystal system
Zhaoyang Qiu and Yixuan Wang
2020doi: 10.3934/dcds.2020360 +[Abstract](108) +[HTML](47) +[PDF](458.68KB)
Liouville type theorems for fractional and higher-order fractional systems
Daomin Cao and Guolin Qin
2020doi: 10.3934/dcds.2020361 +[Abstract](124) +[HTML](48) +[PDF](406.94KB)
Sliding method for the semi-linear elliptic equations involving the uniformly elliptic nonlocal operators
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Well-posedness of renormalized solutions for a stochastic $ p $-Laplace equation with $ L^1 $-initial data
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2020doi: 10.3934/dcds.2020367 +[Abstract](74) +[HTML](39) +[PDF](465.8KB)
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Andrea Davini and Lin Wang
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Genetics of iterative roots for PM functions
Liu Liu and Weinian Zhang
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Homogenization for nonlocal problems with smooth kernels
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Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
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Variational methods for non-local operators of elliptic type
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Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
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Partial regularity of the dynamic system modeling the flow of liquid crystals
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Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
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The problem Of blow-up in nonlinear parabolic equations
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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](2000) +[PDF](131.0KB) PDF Downloads(462)
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](5867) +[PDF](401.1KB) PDF Downloads(452)
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](2084) +[HTML](505) +[PDF](496.79KB) PDF Downloads(452)
Traveling wave solutions of a highly nonlinear shallow water equation
Anna Geyer and Ronald Quirchmayr
2018, 38(3) : 1567-1604 doi: 10.3934/dcds.2018065 +[Abstract](6444) +[HTML](2497) +[PDF](12373.99KB) PDF Downloads(428)
Multidimensional stability of time-periodic planar traveling fronts in bistable reaction-diffusion equations
Wei-Jie Sheng and Wan-Tong Li
2017, 37(5) : 2681-2704 doi: 10.3934/dcds.2017115 +[Abstract](2617) +[HTML](51) +[PDF](476.4KB) PDF Downloads(420)
Uniqueness of positive radial solutions of a semilinear elliptic equation in an annulus
Ruofei Yao, Yi Li and Hongbin Chen
2019, 39(3) : 1585-1594 doi: 10.3934/dcds.2018122 +[Abstract](5127) +[HTML](731) +[PDF](388.54KB) PDF Downloads(392)
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](1031) +[HTML](155) +[PDF](370.02KB) PDF Downloads(390)

2019  Impact Factor: 1.338




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