记忆无界域上随机FitzHugh–Nagumo系统的动力学

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Dynamical Systems-An International Journal Pub Date : 2023-04-04 DOI:10.1080/14689367.2023.2194522

Bui Kim My, N. Toan

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引用次数: 0

摘要

在本文中，我们考虑了具有遗传记忆和一大类非线性的非自治随机FitzHugh–Nagumo系统，该系统对非线性的上限增长没有限制。在所有N维空间中，建立了该系统的随机回调吸引子的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Dynamics of stochastic FitzHugh–Nagumo system on unbounded domains with memory

In this paper, we consider the non-autonomous stochastic FitzHugh–Nagumo system with hereditary memory and a very large class of nonlinearities, which has no restriction on the upper growth of the nonlinearity. The existence of a random pullback attractor is established for this system in all N-dimensional space.

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来源期刊

Dynamical Systems-An International Journal 物理-力学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Dynamical Systems: An International Journal is a world-leading journal acting as a forum for communication across all branches of modern dynamical systems, and especially as a platform to facilitate interaction between theory and applications. This journal publishes high quality research articles in the theory and applications of dynamical systems, especially (but not exclusively) nonlinear systems. Advances in the following topics are addressed by the journal: •Differential equations •Bifurcation theory •Hamiltonian and Lagrangian dynamics •Hyperbolic dynamics •Ergodic theory •Topological and smooth dynamics •Random dynamical systems •Applications in technology, engineering and natural and life sciences