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AIMS joins the mathematics community worldwide in congratulating ProfessorAlessio 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 AIMSconference (2016) in Orlando, USA. Details can be found at  http://aimsciences.org/conferences/2016/2016_speakers.html

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.

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Hausdorff dimension of a class of three-interval exchange maps
Davit Karagulyan
2020, 40(3) : 1257-1281 doi: 10.3934/dcds.2020077 +[Abstract](343) +[HTML](74) +[PDF](433.9KB)
Global well-posedness and existence of the global attractor for the Kadomtsev-Petviashvili Ⅱ equation in the anisotropic Sobolev space
Nobu Kishimoto, Minjie Shan and Yoshio Tsutsumi
2020, 40(3) : 1283-1307 doi: 10.3934/dcds.2020078 +[Abstract](328) +[HTML](89) +[PDF](429.84KB)
Spectral gap and quantitative statistical stability for systems with contracting fibers and Lorenz-like maps
Stefano Galatolo and Rafael Lucena
2020, 40(3) : 1309-1360 doi: 10.3934/dcds.2020079 +[Abstract](227) +[HTML](69) +[PDF](662.03KB)
Positive Lyapunov exponent for a class of quasi-periodic cocycles
Jinhao Liang
2020, 40(3) : 1361-1387 doi: 10.3934/dcds.2020080 +[Abstract](314) +[HTML](73) +[PDF](471.56KB)
Existence of periodically invariant tori on resonant surfaces for twist mappings
Lianpeng Yang and Xiong Li
2020, 40(3) : 1389-1409 doi: 10.3934/dcds.2020081 +[Abstract](102) +[HTML](45) +[PDF](399.14KB)
Long-time solvability for the 2D dispersive SQG equation with improved regularity
Vladimir Angulo-Castillo, Lucas C. F. Ferreira and Leonardo Kosloff
2020, 40(3) : 1411-1433 doi: 10.3934/dcds.2020082 +[Abstract](148) +[HTML](49) +[PDF](391.25KB)
On global axisymmetric solutions to 2D compressible full Euler equations of Chaplygin gases
Fei Hou and Huicheng Yin
2020, 40(3) : 1435-1492 doi: 10.3934/dcds.2020083 +[Abstract](122) +[HTML](51) +[PDF](578.78KB)
Stability and dynamics of a weak viscoelastic system with memory and nonlinear time-varying delay
Xin-Guang Yang, Jing Zhang and Shu Wang
2020, 40(3) : 1493-1515 doi: 10.3934/dcds.2020084 +[Abstract](146) +[HTML](88) +[PDF](379.52KB)
On the Patterson-Sullivan measure for geodesic flows on rank 1 manifolds without focal points
Fei Liu, Fang Wang and Weisheng Wu
2020, 40(3) : 1517-1554 doi: 10.3934/dcds.2020085 +[Abstract](152) +[HTML](43) +[PDF](517.88KB)
Energy decay and global smooth solutions for a free boundary fluid-nonlinear elastic structure interface model with boundary dissipation
Yizhao Qin, Yuxia Guo and Peng-Fei Yao
2020, 40(3) : 1555-1593 doi: 10.3934/dcds.2020086 +[Abstract](120) +[HTML](38) +[PDF](487.61KB)
Construction of 2-solitons with logarithmic distance for the one-dimensional cubic Schrödinger system
Yvan Martel and Tiễn Vinh Nguyến
2020, 40(3) : 1595-1620 doi: 10.3934/dcds.2020087 +[Abstract](115) +[HTML](67) +[PDF](624.8KB)
Permanence and universal classification of discrete-time competitive systems via the carrying simplex
Mats Gyllenberg, Jifa Jiang, Lei Niu and Ping Yan
2020, 40(3) : 1621-1663 doi: 10.3934/dcds.2020088 +[Abstract](136) +[HTML](44) +[PDF](5347.37KB)
On the fundamental solution and its application in a large class of differential systems determined by Volterra type operators with delay
István Győri and László Horváth
2020, 40(3) : 1665-1702 doi: 10.3934/dcds.2020089 +[Abstract](252) +[HTML](67) +[PDF](406.9KB)
Orbital stability of elliptic periodic peakons for the modified Camassa-Holm equation
Aiyong Chen and Xinhui Lu
2020, 40(3) : 1703-1735 doi: 10.3934/dcds.2020090 +[Abstract](250) +[HTML](51) +[PDF](543.08KB)
Large time behavior of solution to quasilinear chemotaxis system with logistic source
Jie Zhao
2020, 40(3) : 1737-1755 doi: 10.3934/dcds.2020091 +[Abstract](157) +[HTML](86) +[PDF](403.52KB)
New general decay results for a von Karman plate equation with memory-type boundary conditions
Baowei Feng and Abdelaziz Soufyane
2020, 40(3) : 1757-1774 doi: 10.3934/dcds.2020092 +[Abstract](161) +[HTML](54) +[PDF](408.58KB)
Existence and a blow-up criterion of solution to the 3D compressible Navier-Stokes-Poisson equations with finite energy
Anthony Suen
2020, 40(3) : 1775-1798 doi: 10.3934/dcds.2020093 +[Abstract](151) +[HTML](42) +[PDF](387.51KB)
Topological cubic polynomials with one periodic ramification point
Matthieu Arfeux and Jan Kiwi
2020, 40(3) : 1799-1811 doi: 10.3934/dcds.2020094 +[Abstract](118) +[HTML](43) +[PDF](387.88KB)
An epiperimetric inequality approach to the parabolic Signorini problem
Wenhui Shi
2020, 40(3) : 1813-1846 doi: 10.3934/dcds.2020095 +[Abstract](101) +[HTML](45) +[PDF](502.87KB)
Convergence to equilibrium for a bulk–surface Allen–Cahn system coupled through a nonlinear Robin boundary condition
Kei Fong Lam and Hao Wu
2020, 40(3) : 1847-1878 doi: 10.3934/dcds.2020096 +[Abstract](144) +[HTML](47) +[PDF](445.15KB)
Minimality and stable Bernoulliness in dimension 3
Gabriel Núñez and Jana Rodriguez Hertz
2020, 40(3) : 1879-1887 doi: 10.3934/dcds.2020097 +[Abstract](125) +[HTML](50) +[PDF](311.3KB)
Long-time behavior for a class of weighted equations with degeneracy
Shan Ma and Chunyou Sun
2020, 40(3) : 1889-1902 doi: 10.3934/dcds.2020098 +[Abstract](145) +[HTML](50) +[PDF](367.04KB)
Global weak solutions to Landau-Lifshtiz systems with spin-polarized transport
Zonglin Jia and Youde Wang
2020, 40(3) : 1903-1935 doi: 10.3934/dcds.2020099 +[Abstract](125) +[HTML](43) +[PDF](413.2KB)
Uniform attractors for non-autonomous plate equations with $ p $-Laplacian perturbation and critical nonlinearities
Xin-Guang Yang, Marcelo J. D. Nascimento and Maurício L. Pelicer
2020, 40(3) : 1937-1961 doi: 10.3934/dcds.2020100 +[Abstract](143) +[HTML](49) +[PDF](418.96KB)
On the vanishing viscosity limit of a chemotaxis model
Hua Chen, Jian-Meng Li and Kelei Wang
2020, 40(3) : 1963-1987 doi: 10.3934/dcds.2020101 +[Abstract](153) +[HTML](89) +[PDF](408.62KB)
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
2019doi: 10.3934/dcds.2019226 +[Abstract](1050) +[HTML](338) +[PDF](479.3KB)
Cauchy problem of semilinear inhomogeneous elliptic equations of Matukuma-type with multiple growth terms
Yunfeng Jia, Yi Li, Jianhua Wu and Hong-Kun Xu
2019doi: 10.3934/dcds.2019227 +[Abstract](758) +[HTML](300) +[PDF](399.3KB)
Nondegeneracy of harmonic maps from $ {{\mathbb{R}}^{2}} $ to $ {{\mathbb{S}}^{2}} $
Guoyuan Chen, Yong Liu and Juncheng Wei
2019doi: 10.3934/dcds.2019228 +[Abstract](732) +[HTML](286) +[PDF](370.56KB)
Large time behavior of ODE type solutions to nonlinear diffusion equations
Junyong Eom and Kazuhiro Ishige
2019doi: 10.3934/dcds.2019229 +[Abstract](775) +[HTML](283) +[PDF](359.7KB)
Finite energy weak solutions of 2d Boussinesq equations with diffusive temperature
Tianwen Luo, Tao Tao and Liqun Zhang
2019doi: 10.3934/dcds.2019230 +[Abstract](650) +[HTML](280) +[PDF](431.74KB)
Global stabilization of the full attraction-repulsion Keller-Segel system
Hai-Yang Jin and Zhi-An Wang
2019doi: 10.3934/dcds.2020027 +[Abstract](182) +[HTML](83) +[PDF](378.9KB)
A functional approach towards eigenvalue problems associated with incompressible flow
Shuang Liu and Yuan Lou
2019doi: 10.3934/dcds.2020028 +[Abstract](212) +[HTML](95) +[PDF](449.86KB)
On the viscous Camassa-Holm equations with fractional diffusion
Zaihui Gan, Fanghua Lin and Jiajun Tong
2019doi: 10.3934/dcds.2020029 +[Abstract](211) +[HTML](78) +[PDF](396.85KB)
Refined regularity and stabilization properties in a degenerate haptotaxis system
Michael Winkler and Christian Stinner
2019doi: 10.3934/dcds.2020030 +[Abstract](140) +[HTML](79) +[PDF](383.86KB)
Asymptotic population abundance of a two-patch system with asymmetric diffusion
Mengting Fang, Yuanshi Wang, Mingshu Chen and Donald L. DeAngelis
2019doi: 10.3934/dcds.2020031 +[Abstract](186) +[HTML](111) +[PDF](598.55KB)
Spectral asymptotics of radial solutions and nonradial bifurcation for the Hénon equation
Joel Kübler and Tobias Weth
2019doi: 10.3934/dcds.2020032 +[Abstract](218) +[HTML](81) +[PDF](474.43KB)
Free boundary problem for a reaction-diffusion equation with positive bistable nonlinearity
Maho Endo, Yuki Kaneko and Yoshio Yamada
2019doi: 10.3934/dcds.2020033 +[Abstract](313) +[HTML](110) +[PDF](203.66KB)
A Hopf lemma and regularity for fractional $ p $-Laplacians
Wenxiong Chen, Congming Li and Shijie Qi
2019doi: 10.3934/dcds.2020034 +[Abstract](185) +[HTML](78) +[PDF](386.0KB)
Global dynamics of competition models with nonsymmetric nonlocal dispersals when one diffusion rate is small
Xueli Bai and Fang Li
2019doi: 10.3934/dcds.2020035 +[Abstract](201) +[HTML](91) +[PDF](366.91KB)
Variational and operator methods for Maxwell-Stokes system
Xing-Bin Pan
2019doi: 10.3934/dcds.2020036 +[Abstract](196) +[HTML](113) +[PDF](542.41KB)
On space-time periodic solutions of the one-dimensional heat equation
Dong-Ho Tsai and Chia-Hsing Nien
2019doi: 10.3934/dcds.2020037 +[Abstract](186) +[HTML](73) +[PDF](426.74KB)
Simulation of post-hurricane impact on invasive species with biological control management
Linhao Xu, Marya Claire Zdechlik, Melissa C. Smith, Min B. Rayamajhi, Don L. DeAngelis and Bo Zhang
2019doi: 10.3934/dcds.2020038 +[Abstract](258) +[HTML](108) +[PDF](825.25KB)
Mean field equations on tori: Existence and uniqueness of evenly symmetric blow-up solutions
Daniele Bartolucci, Changfeng Gui, Yeyao Hu, Aleks Jevnikar and Wen Yang
2019doi: 10.3934/dcds.2020039 +[Abstract](155) +[HTML](77) +[PDF](458.42KB)
Eigenvalues of the Laplace-Beltrami operator under the homogeneous Neumann condition on a large zonal domain in the unit sphere
Yoshitsugu Kabeya
2019doi: 10.3934/dcds.2020040 +[Abstract](152) +[HTML](68) +[PDF](369.84KB)
Signed Radon measure-valued solutions of flux saturated scalar conservation laws
Michiel Bertsch, Flavia Smarrazzo, Andrea Terracina and Alberto Tesei
2019doi: 10.3934/dcds.2020041 +[Abstract](172) +[HTML](78) +[PDF](479.51KB)
A stage structured model of delay differential equations for Aedes mosquito population suppression
Mugen Huang, Moxun Tang, Jianshe Yu and Bo Zheng
2019doi: 10.3934/dcds.2020042 +[Abstract](217) +[HTML](148) +[PDF](497.6KB)
Asymmetric dispersal and evolutional selection in two-patch system
Yong-Jung Kim, Hyowon Seo and Changwook Yoon
2019doi: 10.3934/dcds.2020043 +[Abstract](460) +[HTML](130) +[PDF](728.39KB)
Asymptotic homogenization for delay-differential equations and a question of analyticity
John Mallet-Paret and Roger D. Nussbaum
2019doi: 10.3934/dcds.2020044 +[Abstract](162) +[HTML](111) +[PDF](385.81KB)
Sectional symmetry of solutions of elliptic systems in cylindrical domains
Lucio Damascelli and Filomena Pacella
2019doi: 10.3934/dcds.2020045 +[Abstract](159) +[HTML](70) +[PDF](318.6KB)
Evolution equations involving nonlinear truncated Laplacian operators
Matthieu Alfaro and Isabeau Birindelli
2019doi: 10.3934/dcds.2020046 +[Abstract](150) +[HTML](83) +[PDF](361.4KB)
The sign of traveling wave speed in bistable dynamics
Jong-Shenq Guo, Ken-Ichi Nakamura, Toshiko Ogiwara and Chang-Hong Wu
2019doi: 10.3934/dcds.2020047 +[Abstract](254) +[HTML](120) +[PDF](308.89KB)
The impact of the domain boundary on an inhibitory system: Interior discs and boundary half discs
Xiaofeng Ren and David Shoup
2019doi: 10.3934/dcds.2020048 +[Abstract](140) +[HTML](71) +[PDF](586.41KB)
Spike solutions for a mass conservation reaction-diffusion system
Shin-Ichiro Ei and Shyuh-Yaur Tzeng
2019doi: 10.3934/dcds.2020049 +[Abstract](169) +[HTML](86) +[PDF](355.07KB)
Asymptotic spreading of interacting species with multiple fronts Ⅰ: A geometric optics approach
Qian Liu, Shuang Liu and King-Yeung Lam
2019doi: 10.3934/dcds.2020050 +[Abstract](179) +[HTML](80) +[PDF](748.97KB)
Existence and instability of some nontrivial steady states for the SKT competition model with large cross diffusion
Qing Li and Yaping Wu
2019doi: 10.3934/dcds.2020051 +[Abstract](184) +[HTML](78) +[PDF](676.08KB)
Type Ⅱ finite time blow-up for the energy critical heat equation in $ \mathbb{R}^4 $
Manuel del Pino, Monica Musso, Juncheng Wei and Yifu Zhou
2019doi: 10.3934/dcds.2020052 +[Abstract](212) +[HTML](119) +[PDF](484.25KB)
Bifurcation from infinity with applications to reaction-diffusion systems
Chihiro Aida, Chao-Nien Chen, Kousuke Kuto and Hirokazu Ninomiya
2019doi: 10.3934/dcds.2020053 +[Abstract](175) +[HTML](78) +[PDF](355.83KB)
On the spectral theory of positive operators and PDE applications
Kung-Ching Chang, Xuefeng Wang and Xie Wu
2019doi: 10.3934/dcds.2020054 +[Abstract](277) +[HTML](119) +[PDF](527.53KB)
Perturbative techniques for the construction of spike-layers
Andrea Malchiodi
2019doi: 10.3934/dcds.2020055 +[Abstract](170) +[HTML](111) +[PDF](373.27KB)
Monotone and nonmonotone clines with partial panmixia across a geographical barrier
Yantao Wang and Linlin Su
2019doi: 10.3934/dcds.2020056 +[Abstract](166) +[HTML](90) +[PDF](884.4KB)
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](3844) +[PDF](233.8KB) Cited By(162)
Global attractors for damped semilinear wave equations
John M. Ball
2004, 10(1&2) : 31-52 doi: 10.3934/dcds.2004.10.31 +[Abstract](4882) +[PDF](246.2KB) Cited By(153)
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](4811) +[PDF](262.8KB) Cited By(142)
Remarks on regularities for the 3D MHD equations
Yong Zhou
2005, 12(5) : 881-886 doi: 10.3934/dcds.2005.12.881 +[Abstract](2725) +[PDF](176.3KB) Cited By(141)
Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
Jie Shen and Xiaofeng Yang
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The problem Of blow-up in nonlinear parabolic equations
Victor A. Galaktionov and Juan-Luis Vázquez
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Positive solution for a nonlinear stationary Schrödinger-Poisson system in $R^3$
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BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity
Zhen Lei and Yi Zhou
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Global stability for damped Timoshenko systems
J.E. Muñoz Rivera and Reinhard Racke
2003, 9(6) : 1625-1639 doi: 10.3934/dcds.2003.9.1625 +[Abstract](2906) +[PDF](167.1KB) Cited By(76)
Attractors for nonautonomous 2d Navier-Stokes equations with normal external forces
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Regularity and classification of solutions to static Hartree equations involving fractional Laplacians
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Traveling wave solutions of a highly nonlinear shallow water equation
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The problem Of blow-up in nonlinear parabolic equations
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Uniqueness of positive radial solutions of a semilinear elliptic equation in an annulus
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On the universality of the incompressible Euler equation on compact manifolds
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A nonlinear parabolic-hyperbolic system for contact inhibition and a degenerate parabolic fisher kpp equation
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Some questions looking for answers in dynamical systems
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Weakly mixing diffeomorphisms preserving a measurable Riemannian metric with prescribed Liouville rotation behavior
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Classification for positive solutions of degenerate elliptic system
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