Advanced search
Publication Cover
Journal of Difference Equations and Applications Volume 14, 2008 - Issue 8
Submit an article Journal homepage
93
Views
19
CrossRef citations to date
0
Altmetric
Original Articles

Random attractors for partly dissipative stochastic lattice dynamical systemsFootnote1

Yao Wang School of Information Sciences and Technology, Donghua University, Shanghai, 200051, P. R. China
,
Department of Mathematics, Yangzhou University, Yangzhou, 225002, P. R. China
,
Yurong Liu Department of Mathematics, Yangzhou University, Yangzhou, 225002, P. R. China
,
Zidong Wang School of Information Sciences and Technology, Donghua University, Shanghai, 200051, P. R. China
&
Department of Information Systems and Computing, Brunel University, Uxbridge, UB8 3PH, Middlesex, UKCorrespondence[email protected]
Pages 799-817 | Received 20 Aug 2007, Accepted 10 Dec 2007, Published online: 12 Jun 2008

Citations (19)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (3)

Shuang Yang & Yangrong Li. (2020) Asymptotic autonomous attractors for a stochastic lattice model with random viscosity. Journal of Difference Equations and Applications 26:4, pages 540-560.
Read now
Shengfan Zhou & Zhaojuan Wang. (2013) Random attractors for stochastic retarded lattice systems. Journal of Difference Equations and Applications 19:9, pages 1523-1543.
Read now
T. Caraballo, F. Morillas & J. Valero. (2011) Random attractors for stochastic lattice systems with non-Lipschitz nonlinearity. Journal of Difference Equations and Applications 17:2, pages 161-184.
Read now

Articles from other publishers (16)

Rania T. Wannan & Ahmed Y. Abdallah. (2020) Long-Time Behavior of Non-Autonomous FitzHugh–Nagumo Lattice Systems. Qualitative Theory of Dynamical Systems 19:3.
Crossref
Zongfei Han & Shengfan Zhou. (2020) Random uniform exponential attractors for non-autonomous stochastic lattice systems and FitzHugh–Nagumo lattice systems with quasi-periodic forces and multiplicative noise. Stochastics and Dynamics 20:05, pages 2050036.
Crossref
Yijin Zhang & Zongbing Lin. (2020) Long Term Behavior for a Class of Stochastic Delay Lattice Systems in Space . Discrete Dynamics in Nature and Society 2020, pages 1-10.
Crossref
Wenqiang Zhao. (2018) Continuity and random dynamics of the non-autonomous stochastic FitzHugh–Nagumo system on . Computers & Mathematics with Applications 75:10, pages 3801-3824.
Crossref
Zhi Wang & Xianyun Du. (2017) PULLBACK ATTRACTORS FOR MODIFIED SWIFT-HOHENBERG EQUATION ON UNBOUNDED DOMAINS WITH NON-AUTONOMOUS DETERMINISTIC AND STOCHASTIC FORCING TERMS. Journal of Applied Analysis & Computation 7:1, pages 207-223.
Crossref
Zhaojuan Wang & Shengfan Zhou. (2016) Existence and upper semicontinuity of attractors for non-autonomous stochastic lattice FitzHugh-Nagumo systems in weighted spaces. Advances in Difference Equations 2016:1.
Crossref
Zhaojuan Wang & Shengfan Zhou. (2016) Existence and upper semicontinuity of attractors for non-autonomous stochastic lattice systems with random coupled coefficients. Communications on Pure and Applied Analysis 15:6, pages 2221-2245.
Crossref
Shengfan Zhou & Zhaojuan Wang. (2016) Finite fractal dimensions of random attractors for stochastic FitzHugh–Nagumo system with multiplicative white noise. Journal of Mathematical Analysis and Applications 441:2, pages 648-667.
Crossref
Zhaojuan Wang & Shengfan Zhou. (2016) Random Attractors for Non-autonomous Stochastic Lattice FitzHugh-Nagumo Systems with Random Coupled Coefficients. Taiwanese Journal of Mathematics 20:3.
Crossref
Zhaojuan Wang & Shengfan Zhou. (2016) Existence and Upper Semicontinuity of Attractors for Nonautonomous Stochastic Sine-Gordon Lattice Systems with Random Coupled Coefficients. Discrete Dynamics in Nature and Society 2016, pages 1-12.
Crossref
An-hui Gu, Sheng-fan Zhou & Qing-fei Jin. (2015) Random attractors for partly dissipative stochastic lattice dynamical systems with multiplicative white noises. Acta Mathematicae Applicatae Sinica, English Series 31:2, pages 567-576.
Crossref
Anhui Gu & Yangrong Li. (2014) Singleton sets random attractor for stochastic FitzHugh–Nagumo lattice equations driven by fractional Brownian motions. Communications in Nonlinear Science and Numerical Simulation 19:11, pages 3929-3937.
Crossref
ANHUI GU. (2013) RANDOM ATTRACTORS OF STOCHASTIC LATTICE DYNAMICAL SYSTEMS DRIVEN BY FRACTIONAL BROWNIAN MOTIONS. International Journal of Bifurcation and Chaos 23:03, pages 1350041.
Crossref
Xiaoquan Ding & Jifa Jiang. (2012) Random Attractors for Stochastic Retarded Lattice Dynamical Systems. Abstract and Applied Analysis 2012, pages 1-27.
Crossref
Xianyun Du & Boling Guo. (2011) THE LONG TIME BEHAVIOR FOR PARTLY DISSIPATIVE STOCHASTIC SYSTEMS. Journal of Applied Analysis & Computation 1:4, pages 449-465.
Crossref
Xiaoying Han. (2011) Asymptotic Behavior of Stochastic Partly Dissipative Lattice Systems in Weighted Spaces. International Journal of Differential Equations 2011, pages 1-23.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.