Random attractors for stochastic lattice dynamical systems in weighted spaces

By Xiaoying Han, Wenxian Shen, Shengfan Zhou. 2011

180 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/eb9db39f6b0e6cd343b99b4ba71334ae3fc19bd4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Bixiang Wang
2. Shengfan Zhou
3. Kening Lu
4. Xiaohu Wang
5. Peter W. Bates
6. Dingshi Li
7. Xiliang Li
8. Zhang Chen

In Computer Networks and Communications

1. Bixiang Wang
2. Shengfan Zhou
3. Xiaohu Wang
4. Kening Lu
5. Peter W. Bates
6. Xiaoying Han
7. Dingshi Li
8. Xiliang Li

In Control and Systems Engineering

1. Bixiang Wang
2. Shengfan Zhou
3. Kening Lu
4. Xiaohu Wang
5. Peter W. Bates
6. Dingshi Li
7. Xiaoying Han
8. Xiliang Li

Citations in the corpus

• Invariant measures of stochastic delay lattice systems (2021, background): “The random dynamics of stochastic lattice equations have been recently examined in [5, 6, 14, 15, 32, 33, 35, 61, 62] and the references therein.”
• Attractors of non-autonomous stochastic lattice systems in weighted spaces (2014, background): “The existence of random attractors for autonomous stochastic lattice systems was first proved in [7], followed by extensions in [17, 18, 38, 39, 48] and the references therein.”
• Random attractors for stochastic sine-Gordon lattice systems with multiplicative white noise (2011, unknown): “(See [13].”
• Limiting Behavior of Invariant Measures of Stochastic Delay Lattice Systems (2021, background): “There is an enormous number of publications on the solutions and their long-term dynamics for lattice systems, which, for instance, can be found in [1–3,7,16,21,27,30,39] for deterministic lattice systems and in [4,5,11,22,31,34,37] for stochastic lattice systems.”
• Exponential Stability of Non-Autonomous Stochastic Delay Lattice Systems with Multiplicative Noise (2015, background): “The attractors of lattice equations have been investigated in [3,7,24,33,44] in the deterministic case, in [5,8,12,23,37,45] in the autonomous stochastic case, and in [6] in the non-autonomous stochastic case.”
• Pullback Exponential Attractors for Non-autonomous Lattice Systems (2012, methodology): “In this article, motivated by ideas of [25,29,35,39], we first present some sufficient conditions for the existence of pullback exponential attractors for non-autonomous dynamical systems on weighted spaces of infinite sequences l p ρ .”
• On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems (2013, unknown): “, [6], [11], [12] [13], [26], [27], [35], [49], [46]).”