非自治随机FitzHugh-Nagumo系统的随机一致指数吸引子

韩宗飞, 周盛凡

数学学报 ›› 2021, Vol. 64 ›› Issue (2) : 189-218.

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数学学报 ›› 2021, Vol. 64 ›› Issue (2) : 189-218. DOI: 10.12386/A2021sxxb0017
论文

非自治随机FitzHugh-Nagumo系统的随机一致指数吸引子

    韩宗飞, 周盛凡
作者信息 +

Random Uniform Exponential Attractor for Non-autonomous Stochastic FitzHugh-Nagumo System

    Zong Fei HAN, Sheng Fan ZHOU
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文章历史 +

摘要

本文首先给出了非自治随机动力系统的随机一致指数吸引子的概念及其存在性判据,其次证明了Rn上的带加法噪声和拟周期外力的FitzHugh—Nagumo系统的随机一致指数吸引子的存在性.

Abstract

We first introduce the concept and the existence criterion of a random uniform exponential attractor for a non-autonomous random dynamical system. Then we prove the existence of a random uniform exponential attractor for FitzHugh-Nagumo system with additive noise and quasi-periodic external forces defined in Rn.

关键词

随机一致指数吸引子 / 非自治随机动力系统 / 随机FitzHugh&mdash / Nagumo系统 / 无界区域

Key words

random uniform exponential attractor / non-autonomous random dynamical system / stochastic FitzHugh-Nagumo system / unbounded domain

引用本文

导出引用
韩宗飞, 周盛凡. 非自治随机FitzHugh-Nagumo系统的随机一致指数吸引子. 数学学报, 2021, 64(2): 189-218 https://doi.org/10.12386/A2021sxxb0017
Zong Fei HAN, Sheng Fan ZHOU. Random Uniform Exponential Attractor for Non-autonomous Stochastic FitzHugh-Nagumo System. Acta Mathematica Sinica, Chinese Series, 2021, 64(2): 189-218 https://doi.org/10.12386/A2021sxxb0017

参考文献

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基金

国家自然科学基金资助项目(11871437)

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