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eISSN:
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Volume 39, 2019

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By error, JCR gave DCDS an IF of .976. The correct IF of 1.179 will be included in the September update of JCR.


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.

  • AIMS is a member of COPE. All AIMS journals adhere to the publication ethics and malpractice policies outlined by COPE.
  • Publishes 12 issues a year, monthly.
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  • Archived in Portico and CLOCKSS.
  • DCDS is a publication of the American Institute of Mathematical Sciences. All rights reserved.

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A uniqueness result for 2-soliton solutions of the Korteweg-de Vries equation
John P. Albert
2019, 39(7) : 3635-3670 doi: 10.3934/dcds.2019149 +[Abstract](82) +[HTML](56) +[PDF](580.18KB)
Generalized multi-hump wave solutions of Kdv-Kdv system of Boussinesq equations
Shengfu Deng
2019, 39(7) : 3671-3716 doi: 10.3934/dcds.2019150 +[Abstract](90) +[HTML](60) +[PDF](633.37KB)
Limiting dynamics for non-autonomous stochastic retarded reaction-diffusion equations on thin domains
Dingshi Li, Kening Lu, Bixiang Wang and Xiaohu Wang
2019, 39(7) : 3717-3747 doi: 10.3934/dcds.2019151 +[Abstract](74) +[HTML](46) +[PDF](619.13KB)
Large-time regular solutions to the modified quasi-geostrophic equation in Besov spaces
Wen Tan, Bo-Qing Dong and Zhi-Min Chen
2019, 39(7) : 3749-3765 doi: 10.3934/dcds.2019152 +[Abstract](96) +[HTML](46) +[PDF](531.3KB)
Classification of linear skew-products of the complex plane and an affine route to fractalization
Núria Fagella, Àngel Jorba, Marc Jorba-Cuscó and Joan Carles Tatjer
2019, 39(7) : 3767-3787 doi: 10.3934/dcds.2019153 +[Abstract](59) +[HTML](45) +[PDF](1800.55KB)
Initial boundary value problems for a system of parabolic conservation laws arising from chemotaxis in multi-dimensions
Leo G. Rebholz, Dehua Wang, Zhian Wang, Camille Zerfas and Kun Zhao
2019, 39(7) : 3789-3838 doi: 10.3934/dcds.2019154 +[Abstract](97) +[HTML](45) +[PDF](6535.99KB)
General decay of the solution to a nonlinear viscoelastic modified von-Kármán system with delay
Ammar Khemmoudj and Yacine Mokhtari
2019, 39(7) : 3839-3866 doi: 10.3934/dcds.2019155 +[Abstract](101) +[HTML](52) +[PDF](529.49KB)
Low-regularity global well-posedness for the Klein-Gordon-Schrödinger system on $ \mathbb{R}^+ $
E. Compaan and N. Tzirakis
2019, 39(7) : 3867-3895 doi: 10.3934/dcds.2019156 +[Abstract](75) +[HTML](59) +[PDF](545.05KB)
The mean field analysis of the kuramoto model on graphs Ⅱ. asymptotic stability of the incoherent state, center manifold reduction, and bifurcations
Hayato Chiba and Georgi S. Medvedev
2019, 39(7) : 3897-3921 doi: 10.3934/dcds.2019157 +[Abstract](64) +[HTML](44) +[PDF](659.33KB)
The twisted cohomological equation over the geodesic flow
Zhenqi Jenny Wang
2019, 39(7) : 3923-3940 doi: 10.3934/dcds.2019158 +[Abstract](62) +[HTML](32) +[PDF](477.65KB)
Weighted topological and measure-theoretic entropy
Tao Wang and Yu Huang
2019, 39(7) : 3941-3967 doi: 10.3934/dcds.2019159 +[Abstract](76) +[HTML](54) +[PDF](527.8KB)
Cohomological equation and cocycle rigidity of discrete parabolic actions
James Tanis and Zhenqi Jenny Wang
2019, 39(7) : 3969-4000 doi: 10.3934/dcds.2019160 +[Abstract](76) +[HTML](55) +[PDF](543.67KB)
Traveling waves for nonlocal models of traffic flow
Johanna Ridder and Wen Shen
2019, 39(7) : 4001-4040 doi: 10.3934/dcds.2019161 +[Abstract](64) +[HTML](40) +[PDF](868.62KB)
Minimality and gluing orbit property
Peng Sun
2019, 39(7) : 4041-4056 doi: 10.3934/dcds.2019162 +[Abstract](80) +[HTML](45) +[PDF](355.11KB)
Asymptotically sectional-hyperbolic attractors
B. San Martín and Kendry J. Vivas
2019, 39(7) : 4057-4071 doi: 10.3934/dcds.2019163 +[Abstract](81) +[HTML](43) +[PDF](1603.11KB)
On the oscillation behavior of solutions to the one-dimensional heat equation
Dong-Ho Tsai and Chia-Hsing Nien
2019, 39(7) : 4073-4089 doi: 10.3934/dcds.2019164 +[Abstract](58) +[HTML](46) +[PDF](443.38KB)
Random dynamics of fractional nonclassical diffusion equations driven by colored noise
Renhai Wang, Yangrong Li and Bixiang Wang
2019, 39(7) : 4091-4126 doi: 10.3934/dcds.2019165 +[Abstract](56) +[HTML](57) +[PDF](683.22KB)
Stability and separation property of radial solutions to semilinear elliptic equations
Shoichi Hasegawa
2019, 39(7) : 4127-4136 doi: 10.3934/dcds.2019166 +[Abstract](64) +[HTML](37) +[PDF](399.63KB)
Existence and multiplicity of periodic solutions to an indefinite singular equation with two singularities. The degenerate case
José Godoy, Nolbert Morales and Manuel Zamora
2019, 39(7) : 4137-4156 doi: 10.3934/dcds.2019167 +[Abstract](122) +[HTML](65) +[PDF](378.37KB)
Scaling properties of the thue–morse measure
M. Baake, P. Gohlke, M. Kesseböhmer and T. Schindler
2019, 39(7) : 4157-4185 doi: 10.3934/dcds.2019168 +[Abstract](58) +[HTML](45) +[PDF](298.27KB)
Brake orbits on compact symmetric dynamically convex reversible hypersurfaces on $ \mathbb{R}^\text{2n} $
Zhongjie Liu and Duanzhi Zhang
2019, 39(7) : 4187-4206 doi: 10.3934/dcds.2019169 +[Abstract](62) +[HTML](47) +[PDF](490.91KB)
Equality of kolmogorov-sinai and permutation entropy for one-dimensional maps consisting of countably many monotone parts
Tim Gutjahr and Karsten Keller
2019, 39(7) : 4207-4224 doi: 10.3934/dcds.2019170 +[Abstract](58) +[HTML](43) +[PDF](495.43KB)
On the existence of invariant tori in non-conservative dynamical systems with degeneracy and finite differentiability
Xuemei Li and Zaijiu Shang
2019, 39(7) : 4225-4257 doi: 10.3934/dcds.2019171 +[Abstract](63) +[HTML](66) +[PDF](630.37KB)
A polygonal scheme and the lower bound on density for the isentropic gas dynamics
Geng Chen, Ronghua Pan and Shengguo Zhu
2019, 39(7) : 4259-4277 doi: 10.3934/dcds.2019172 +[Abstract](57) +[HTML](49) +[PDF](846.5KB)
The semirelativistic Choquard equation with a local nonlinear term
Bartosz Bieganowski and Simone Secchi
2019, 39(7) : 4279-4302 doi: 10.3934/dcds.2019173 +[Abstract](62) +[HTML](41) +[PDF](476.45KB)
The Boltzmann equation with frictional force for very soft potentials in the whole space
Yingzhe Fan and Yuanjie Lei
2019, 39(7) : 4303-4329 doi: 10.3934/dcds.2019174 +[Abstract](80) +[HTML](51) +[PDF](501.24KB)
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](2497) +[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](3684) +[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](3365) +[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](1758) +[PDF](176.3KB) Cited By(141)
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](2543) +[PDF](382.7KB) Cited By(133)
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](2553) +[PDF](369.4KB) Cited By(113)
Positive solution for a nonlinear stationary Schrödinger-Poisson system in $R^3$
Zhengping Wang and Huan-Song Zhou
2007, 18(4) : 809-816 doi: 10.3934/dcds.2007.18.809 +[Abstract](1784) +[PDF](153.0KB) Cited By(89)
BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity
Zhen Lei and Yi Zhou
2009, 25(2) : 575-583 doi: 10.3934/dcds.2009.25.575 +[Abstract](1801) +[PDF](159.5KB) Cited By(82)
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](1963) +[PDF](167.1KB) Cited By(76)
Attractors for nonautonomous 2d Navier-Stokes equations with normal external forces
Songsong Lu, Hongqing Wu and Chengkui Zhong
2005, 13(3) : 701-719 doi: 10.3934/dcds.2005.13.701 +[Abstract](1925) +[PDF](263.7KB) Cited By(74)
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](2063) +[HTML](774) +[PDF](472.85KB) PDF Downloads(365)
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](2691) +[HTML](1543) +[PDF](12373.99KB) PDF Downloads(284)
On a class of non-local elliptic equations with asymptotically linear term
Yuanhong Wei and Xifeng Su
2018, 38(12) : 6287-6304 doi: 10.3934/dcds.2018154 +[Abstract](1393) +[HTML](489) +[PDF](442.05KB) PDF Downloads(215)
Some questions looking for answers in dynamical systems
Carles Simó
2018, 38(12) : 6215-6239 doi: 10.3934/dcds.2018267 +[Abstract](906) +[HTML](214) +[PDF](531.03KB) PDF Downloads(202)
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](1554) +[HTML](621) +[PDF](388.54KB) PDF Downloads(202)
Classification for positive solutions of degenerate elliptic system
Yuxia Guo and Jianjun Nie
2019, 39(3) : 1457-1475 doi: 10.3934/dcds.2018130 +[Abstract](1267) +[HTML](542) +[PDF](412.94KB) PDF Downloads(194)
Weakly mixing diffeomorphisms preserving a measurable Riemannian metric with prescribed Liouville rotation behavior
Roland Gunesch and Philipp Kunde
2018, 38(4) : 1615-1655 doi: 10.3934/dcds.2018067 +[Abstract](1770) +[HTML](450) +[PDF](683.82KB) PDF Downloads(193)
The two membranes problem for fully nonlinear operators
Luis Caffarelli, Luis Duque and Hernán Vivas
2018, 38(12) : 6015-6027 doi: 10.3934/dcds.2018152 +[Abstract](1312) +[HTML](385) +[PDF](364.45KB) PDF Downloads(192)
Attainability of the fractional hardy constant with nonlocal mixed boundary conditions: Applications
Boumediene Abdellaoui, Ahmed Attar, Abdelrazek Dieb and Ireneo Peral
2018, 38(12) : 5963-5991 doi: 10.3934/dcds.2018131 +[Abstract](1387) +[HTML](431) +[PDF](521.23KB) PDF Downloads(178)
On the universality of the incompressible Euler equation on compact manifolds
Terence Tao
2018, 38(3) : 1553-1565 doi: 10.3934/dcds.2018064 +[Abstract](1433) +[HTML](256) +[PDF](422.44KB) PDF Downloads(167)

2017  Impact Factor: 1.179

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