AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (337.7 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Invariant measures for stochastic FitzHugh-Nagumo delay lattice systems with long-range interactions in weighted space

Xintao Li( ), Lianbing She, Rongrui Lin
School of Mathematics and Statistics, Liupanshui Normal University, Liupanshui 553004, China
Show Author Information

Abstract

The focus of this paper lies in exploring the limiting dynamics of stochastic FitzHugh-Nagumo delay lattice systems with long-range interactions and nonlinear noise in weighted space. To begin, we established the well-posedness of solutions to these stochastic delay lattice systems and subsequently proved the existence and uniqueness of invariant measures.

Keywords

FitzHugh-Nagumo lattice systemsnonlinear noiseweighted spaceinvariant measuresdelay
CLC number: 35B40, 35B41, 37L30

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 9 Issue 7,
July 2024
Pages 18860-18896
DOI: 10.3934/math.2024918

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Li X, She L, Lin R. Invariant measures for stochastic FitzHugh-Nagumo delay lattice systems with long-range interactions in weighted space. AIMS Mathematics, 2024, 9(7): 18860-18896. https://doi.org/10.3934/math.2024918

82

Views

1

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 31 January 2024
Revised: 06 May 2024
Accepted: 21 May 2024
Published: 15 July 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)