Synchronization of Systems with Fractional Environmental Noises on Finite Lattice-Reference-Cited by-同舟云学术

Synchronization of Systems with Fractional Environmental Noises on Finite Lattice

Published:2015-08-01 Issue:4 Volume:18 Page:891-910
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Gu Anhui¹,Zeng Caibin²,Li Yangrong³

Affiliation:

1. School of Mathematics and Statistics Southwest University Chongqing – 400715, CHINA

2. School of Sciences South China University of Technology Guangzhou – 510640, CHINA

3. School of Mathematics and Statistics Southwest University Chongqing - 400715, CHINA

Abstract

Abstract This paper is devoted to the study of synchronous phenomena of the solutions to system driven by fractional environmental noises on finite lattice. Under certain dissipative and integrability conditions, we obtain the synchronization between two solutions, and among different components of solutions when the coupling coefficient tends to infinity. This indicates that no matter how large the intensity and what kinds of the noises perturb the system, the synchronization persists

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2015-0054/pdf

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Convergence Rate of Synchronization of Coupled Stochastic Lattice Systems with Additive Fractional Noise;Journal of Dynamics and Differential Equations;2021-07-03

2. Synchronization of stochastic lattice equations;Nonlinear Differential Equations and Applications NoDEA;2020-06-09

3. Pathwise solution to rough stochastic lattice dynamical system driven by fractional noise;Communications on Pure & Applied Analysis;2020