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随机时滞FitzHugh-Nagumo格点系统随机吸引子的存在性 被引量：1

Existence of Random Attractors for the Stochastic FitzHugh-Nagumo Systems with Delay on Infinite Lattice
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摘要 利用切尾技巧,研究随机时滞FitzHugh-Nagumo格点系统随机吸引子的存在性.在适当的耗散性条件下,证明了该系统随机吸引子的存在性,即随机紧不变集的存在性. This paper deals with the existence of random attractors for the stochastic FitzHugh-Nagumo systems with delay on infinite lattice.Under suitable dissipative conditions,it is shown that such a system has a random attractor which is a random compact invariant set.
作者 许璐 闫卫平
机构地区 吉林大学数学研究所
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2011年第2期235-236,共2页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:11026043) 吉林大学研究生创新项目基金(批准号:20101049)
关键词 随机时滞 FitzHugh-Nagumo格点系统 随机吸引子 存在性 random delay FitzHugh-Nagumo lattice system random attractor existence
分类号 O175.1 [理学—基础数学]
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参考文献6

  • 1Hillert M.A Solid-Solution Model for Inhomogeneous Systems[J].Acta Metall,1961,9(6):525-535.
  • 2Bates P W,Lisei H,Lu K N.Attractors for Stochastic Lattice Dynamical Systems[J].Stoch Dyn,2006,6(1):1-21.
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同被引文献8

  • 1Arnold L. Random Dynamical Systems [M]. Berlin: Springer, 1995.
  • 2YAN Weiping, LI Yong,JI Shuguan. Random Attractors for First Order Stochastic Retarded Lattice DynamicalSystems [J]. Journal of Mathematical Physics, 2010,51(3) : 032702.
  • 3Hani Z,Pusateri F,Shatah J. Scattering for the Zakharov System in 3 Dimensions [J]. Communications inMathematical Physics, 2013, 322(3) : 731-753.
  • 4Crauel H,Flandoli F. Attractors for Random Dynamical Systems [J]. Probability Theory and Related Fields,1994, 100(3): 365-393.
  • 5SHEN Zhongwei, ZHOU Shengfan, SHEN Wenxian. One-Dimensional Random Attractor and Rotation Numberof the Stochastic Damped Sine-Gordon Equation [J]. Journal of Differential Equations, 2010 , 248(6) : 1432-1457.
  • 6Bates P W, LU Kening, WANG Bixiang. Random Attractors for Stochastic Reaction-Diffusion Equations onUnbounded Domains [J]. Journal of Differential Equations, 2009,246(2) : 845-869.
  • 7WANG Bixiang. Random Attractors for the Stochastic Benjamin-Bona-Mahony Equation on Unbounded Domains[J]. Journal of Differential Equations, 2009,246(6) : 2506-2537.
  • 8Bates P W, Lisei H,LU Kening. Attractors for Stochastic Lattice Dynamical Systems [J]. Stochavstics andDynamics,2006,6(1): 1-21.

引证文献1

吉林大学学报（理学版）
2011年 第2期

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