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Discrete & Continuous Dynamical Systems (DCDS) publishes peer-reviewed original and expository papers on the theory, methods and applications of analysis, differential equations and dynamical systems. The journal is committed to recording important new methods and 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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Counting finite orbits for the flip systems of shifts of finite type
Azmeer Nordin and Mohd Salmi Md Noorani
2021, 41(10) : 4515-4529 doi: 10.3934/dcds.2021046 +[Abstract](504) +[HTML](203) +[PDF](350.66KB)
Floquet solutions for the Schrödinger equation with fast-oscillating quasi-periodic potentials
Yingte Sun
2021, 41(10) : 4531-4543 doi: 10.3934/dcds.2021047 +[Abstract](399) +[HTML](187) +[PDF](326.35KB)
On the critical decay for the wave equation with a cubic convolution in 3D
Tomoyuki Tanaka and Kyouhei Wakasa
2021, 41(10) : 4545-4566 doi: 10.3934/dcds.2021048 +[Abstract](558) +[HTML](186) +[PDF](395.06KB)
On conormal derivative problem for parabolic equations with Dini mean oscillation coefficients
Hongjie Dong and Xinghong Pan
2021, 41(10) : 4567-4592 doi: 10.3934/dcds.2021049 +[Abstract](387) +[HTML](185) +[PDF](457.85KB)
Variational relations for metric mean dimension and rate distortion dimension
Tao Wang
2021, 41(10) : 4593-4608 doi: 10.3934/dcds.2021050 +[Abstract](544) +[HTML](187) +[PDF](377.42KB)
Unique solvability of elliptic problems associated with two-phase incompressible flows in unbounded domains
Hirokazu Saito and Xin Zhang
2021, 41(10) : 4609-4643 doi: 10.3934/dcds.2021051 +[Abstract](419) +[HTML](163) +[PDF](498.4KB)
A new approach to MGT-thermoviscoelasticity
Monica Conti, Vittorino Pata, Marta Pellicer and Ramon Quintanilla
2021, 41(10) : 4645-4666 doi: 10.3934/dcds.2021052 +[Abstract](340) +[HTML](156) +[PDF](368.02KB)
Differentiable invariant manifolds of nilpotent parabolic points
Clara Cufí-Cabré and Ernest Fontich
2021, 41(10) : 4667-4704 doi: 10.3934/dcds.2021053 +[Abstract](295) +[HTML](159) +[PDF](463.97KB)
Infinitely many positive solutions for Schrödinger-poisson systems with nonsymmetry potentials
Fangyi Qin, Jun Wang and Jing Yang
2021, 41(10) : 4705-4736 doi: 10.3934/dcds.2021054 +[Abstract](397) +[HTML](167) +[PDF](552.67KB)
A variational approach to three-phase traveling waves for a gradient system
Chiun-Chuan Chen, Hung-Yu Chien and Chih-Chiang Huang
2021, 41(10) : 4737-4765 doi: 10.3934/dcds.2021055 +[Abstract](400) +[HTML](226) +[PDF](938.71KB)
On the non-degeneracy of radial vortex solutions for a coupled Ginzburg-Landau system
Lipeng Duan and Jun Yang
2021, 41(10) : 4767-4790 doi: 10.3934/dcds.2021056 +[Abstract](439) +[HTML](188) +[PDF](422.54KB)
On the mixing and Bernoulli properties for geodesic flows on rank 1 manifolds without focal points
Fei Liu, Xiaokai Liu and Fang Wang
2021, 41(10) : 4791-4804 doi: 10.3934/dcds.2021057 +[Abstract](340) +[HTML](179) +[PDF](647.36KB)
Infinitely many radial solutions for a $ p $-Laplacian problem with indefinite weight
Alfonso Castro, Jorge Cossio, Sigifredo Herrón and Carlos Vélez
2021, 41(10) : 4805-4821 doi: 10.3934/dcds.2021058 +[Abstract](491) +[HTML](191) +[PDF](354.9KB)
An approximation of forward self-similar solutions to the 3D Navier-Stokes system
Francis Hounkpe and Gregory Seregin
2021, 41(10) : 4823-4846 doi: 10.3934/dcds.2021059 +[Abstract](385) +[HTML](195) +[PDF](388.54KB)
Refined construction of type II blow-up solutions for semilinear heat equations with Joseph–Lundgren supercritical nonlinearity
Asato Mukai and Yukihiro Seki
2021, 41(10) : 4847-4885 doi: 10.3934/dcds.2021060 +[Abstract](403) +[HTML](190) +[PDF](548.48KB)
Multiple positive bound state solutions for a critical Choquard equation
Claudianor O. Alves, Giovany M. Figueiredo and Riccardo Molle
2021, 41(10) : 4887-4919 doi: 10.3934/dcds.2021061 +[Abstract](416) +[HTML](169) +[PDF](470.9KB)
Singularity formation for compressible Euler equations with time-dependent damping
Ying Sui and Huimin Yu
2021, 41(10) : 4921-4941 doi: 10.3934/dcds.2021062 +[Abstract](329) +[HTML](165) +[PDF](437.04KB)
Symmetries of vector fields: The diffeomorphism centralizer
Davi Obata
2021, 41(10) : 4943-4957 doi: 10.3934/dcds.2021063 +[Abstract](362) +[HTML](175) +[PDF](385.76KB)
Asymptotic speed of spread for a nonlocal evolutionary-epidemic system
Lara Abi Rizk, Jean-Baptiste Burie and Arnaud Ducrot
2021, 41(10) : 4959-4985 doi: 10.3934/dcds.2021064 +[Abstract](413) +[HTML](176) +[PDF](417.15KB)
Convergence of nonlocal geometric flows to anisotropic mean curvature motion
Annalisa Cesaroni and Valerio Pagliari
2021, 41(10) : 4987-5008 doi: 10.3934/dcds.2021065 +[Abstract](367) +[HTML](183) +[PDF](407.25KB)
Modeling of crowds in regions with moving obstacles
Nadezhda Maltugueva and Nikolay Pogodaev
2021doi: 10.3934/dcds.2021066 +[Abstract](289) +[HTML](188) +[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](316) +[HTML](145) +[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](451) +[HTML](161) +[PDF](437.94KB)
Einstein-Lichnerowicz type singular perturbations of critical nonlinear elliptic equations in dimension 3
Bruno Premoselli
2021doi: 10.3934/dcds.2021069 +[Abstract](289) +[HTML](146) +[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](331) +[HTML](158) +[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](290) +[HTML](165) +[PDF](398.64KB)
Uniqueness properties of the KAM curve
Frank Trujillo
2021doi: 10.3934/dcds.2021072 +[Abstract](219) +[HTML](125) +[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](299) +[HTML](137) +[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](316) +[HTML](126) +[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](346) +[HTML](151) +[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](311) +[HTML](117) +[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](215) +[HTML](116) +[PDF](504.71KB)
Quadratic response and speed of convergence of invariant measures in the zero-noise limit
Stefano Galatolo and Hugo Marsan
2021doi: 10.3934/dcds.2021078 +[Abstract](207) +[HTML](103) +[PDF](424.66KB)
A multiplicity result for orthogonal geodesic chords in Finsler disks
Dario Corona
2021doi: 10.3934/dcds.2021079 +[Abstract](215) +[HTML](130) +[PDF](396.01KB)
On the decay in $ W^{1,\infty} $ for the 1D semilinear damped wave equation on a bounded domain
Debora Amadori and Fatima Al-Zahrà Aqel
2021doi: 10.3934/dcds.2021080 +[Abstract](248) +[HTML](113) +[PDF](526.34KB)
A class of prescribed shifted Gauss curvature equations for horo-convex hypersurfaces in $ \mathbb{H}^{n+1} $
Qiang Tu
2021doi: 10.3934/dcds.2021081 +[Abstract](193) +[HTML](113) +[PDF](362.51KB)
Local well-posedness for the inhomogeneous nonlinear Schrödinger equation
Lassaad Aloui and Slim Tayachi
2021doi: 10.3934/dcds.2021082 +[Abstract](313) +[HTML](125) +[PDF](484.37KB)
Fractional perimeters on the sphere
Andreas Kreuml and Olaf Mordhorst
2021doi: 10.3934/dcds.2021083 +[Abstract](219) +[HTML](116) +[PDF](353.99KB)
On trigonometric skew-products over irrational circle-rotations
Hans Koch
2021doi: 10.3934/dcds.2021084 +[Abstract](169) +[HTML](95) +[PDF](1166.8KB)
Asymptotic behaviour of singular solution of the fast diffusion equation in the punctured euclidean space
Kin Ming Hui and Jinwan Park
2021doi: 10.3934/dcds.2021085 +[Abstract](242) +[HTML](128) +[PDF](480.54KB)
Dynamics of particles on a curve with pairwise hyper-singular repulsion
Douglas Hardin, Edward B. Saff, Ruiwen Shu and Eitan Tadmor
2021doi: 10.3934/dcds.2021086 +[Abstract](216) +[HTML](104) +[PDF](695.6KB)
Hearing the shape of right triangle billiard tables
Yang Shen and Jiazhong Yang
2021doi: 10.3934/dcds.2021087 +[Abstract](200) +[HTML](135) +[PDF](3209.84KB)
Concentration phenomena for magnetic Kirchhoff equations with critical growth
Chao Ji and Vicenţiu D. Rădulescu
2021doi: 10.3934/dcds.2021088 +[Abstract](250) +[HTML](117) +[PDF](502.15KB)
Classification of transitive group actions
Kesong Yan, Qian Liu and Fanping Zeng
2021doi: 10.3934/dcds.2021089 +[Abstract](148) +[HTML](77) +[PDF](471.66KB)
Well-posedness of the two-phase flow problem in incompressible MHD
Changyan Li and Hui Li
2021doi: 10.3934/dcds.2021090 +[Abstract](181) +[HTML](77) +[PDF](504.75KB)
Period tripling and quintupling renormalizations below $ C^2 $ space
Rohit Kumar and V.V.M.S. Chandramouli
2021doi: 10.3934/dcds.2021091 +[Abstract](188) +[HTML](82) +[PDF](844.25KB)
The nonlinear fractional relativistic Schrödinger equation: Existence, multiplicity, decay and concentration results
Vincenzo Ambrosio
2021doi: 10.3934/dcds.2021092 +[Abstract](187) +[HTML](74) +[PDF](628.39KB)
Dispersive estimates for the wave and the Klein-Gordon equations in large time inside the Friedlander domain
Oana Ivanovici
2021doi: 10.3934/dcds.2021093 +[Abstract](152) +[HTML](69) +[PDF](575.76KB)
Extinction or coexistence in periodic Kolmogorov systems of competitive type
Isabel Coelho, Carlota Rebelo and Elisa Sovrano
2021doi: 10.3934/dcds.2021094 +[Abstract](176) +[HTML](70) +[PDF](377.55KB)
Grassmannian reduction of cucker-smale systems and dynamical opinion games
Daniel Lear, David N. Reynolds and Roman Shvydkoy
2021doi: 10.3934/dcds.2021095 +[Abstract](97) +[HTML](45) +[PDF](563.04KB)
Stabilization of nonautonomous parabolic equations by a single moving actuator
Behzad Azmi, Karl Kunisch and Sérgio S. Rodrigues
2021doi: 10.3934/dcds.2021096 +[Abstract](98) +[HTML](44) +[PDF](1557.31KB)
Sharp well-posedness of the Cauchy problem for the rotation-modified Kadomtsev-Petviashvili equation in anisotropic Sobolev spaces
Wei Yan, Yimin Zhang, Yongsheng Li and Jinqiao Duan
2021doi: 10.3934/dcds.2021097 +[Abstract](96) +[HTML](48) +[PDF](598.89KB)
Sharp critical thresholds in a hyperbolic system with relaxation
Manas Bhatnagar and Hailiang Liu
2021doi: 10.3934/dcds.2021098 +[Abstract](83) +[HTML](54) +[PDF](467.97KB)
Discrete spectrum for amenable group actions
Tao Yu, Guohua Zhang and Ruifeng Zhang
2021doi: 10.3934/dcds.2021099 +[Abstract](92) +[HTML](47) +[PDF](490.37KB)
On the number of invariant measures for random expanding maps in higher dimensions
Fawwaz Batayneh and Cecilia González-Tokman
2021doi: 10.3934/dcds.2021100 +[Abstract](124) +[HTML](57) +[PDF](570.84KB)
Maximal chain continuous factor
Noriaki Kawaguchi
2021doi: 10.3934/dcds.2021101 +[Abstract](115) +[HTML](56) +[PDF](376.1KB)
Bifurcations in asymptotically autonomous Hamiltonian systems under oscillatory perturbations
Oskar A. Sultanov
2021doi: 10.3934/dcds.2021102 +[Abstract](112) +[HTML](58) +[PDF](1679.17KB)
On pushed wavefronts of monostable equation with unimodal delayed reaction
Karel Hasík, Jana Kopfová, Petra Nábělková and Sergei Trofimchuk
2021doi: 10.3934/dcds.2021103 +[Abstract](110) +[HTML](63) +[PDF](3955.42KB)
Global wellposedness of nutrient-taxis systems derived by a food metric
Jaewook Ahn, Sun-Ho Choi and Minha Yoo
2021doi: 10.3934/dcds.2021104 +[Abstract](142) +[HTML](57) +[PDF](348.99KB)
Wavefronts for degenerate diffusion-convection reaction equations with sign-changing diffusivity
Diego Berti, Andrea Corli and Luisa Malaguti
2021doi: 10.3934/dcds.2021105 +[Abstract](146) +[HTML](56) +[PDF](387.56KB)
On the compactness threshold in the critical Kirchhoff equation
Erisa Hasani and Kanishka Perera
2021doi: 10.3934/dcds.2021106 +[Abstract](329) +[HTML](45) +[PDF](501.7KB)
On the number of positive solutions to an indefinite parameter-dependent Neumann problem
Guglielmo Feltrin, Elisa Sovrano and Andrea Tellini
2021doi: 10.3934/dcds.2021107 +[Abstract](96) +[HTML](22) +[PDF](871.3KB)
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](7880) +[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](5373) +[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](4041) +[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](7473) +[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](5458) +[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](6793) +[PDF](246.2KB) Cited By(198)
Partial regularity of the dynamic system modeling the flow of liquid crystals
Fanghua Lin and Chun Liu
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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](5988) +[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](4301) +[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](7573) +[PDF](401.1KB) Cited By(155)
The problem Of blow-up in nonlinear parabolic equations
Victor A. Galaktionov and Juan-Luis Vázquez
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Some questions looking for answers in dynamical systems
Carles Simó
2018, 38(12) : 6215-6239 doi: 10.3934/dcds.2018267 +[Abstract](5370) +[HTML](365) +[PDF](531.03KB) PDF Downloads(1636)
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](1635) +[HTML](163) +[PDF](370.02KB) PDF Downloads(1076)
Conditional measures and conditional expectation; Rohlin's Disintegration Theorem
David Simmons
2012, 32(7) : 2565-2582 doi: 10.3934/dcds.2012.32.2565 +[Abstract](3426) +[PDF](444.9KB) PDF Downloads(911)
Differentiability of the Hartman--Grobman linearization
Misha Guysinsky, Boris Hasselblatt and Victoria Rayskin
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Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
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Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
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On the spectral theory of positive operators and PDE applications
Kung-Ching Chang, Xuefeng Wang and Xie Wu
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Regularity and classification of solutions to static Hartree equations involving fractional Laplacians
Wei Dai, Jiahui Huang, Yu Qin, Bo Wang and Yanqin Fang
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A nonlinear parabolic-hyperbolic system for contact inhibition and a degenerate parabolic fisher kpp equation
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2020 Impact Factor: 1.392
5 Year Impact Factor: 1.610
2020 CiteScore: 2.2

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