Hopf bifurcations of a stochastic fractional-order Van der Pol system
type: Item
instance of: scholarly article
title: Hopf bifurcations of a stochastic fractional-order Van der Pol system
zbMATH Open document ID: 1474.34397
DOI: 10.1155/2014/835482
author: Ling Hong
author: Lixin Yang
author: Xiaojun Liu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The Hopf bifurcation of a fractional-order Van der Pol (VDP for short) system with a random parameter is investigated. Firstly, the Chebyshev polynomial approximation is applied to study the stochastic fractional-order system. Based on the method, the stochastic system is reduced to the equivalent deterministic one, and then the responses of the stochastic system can be obtained by numerical methods. Then, according to the existence conditions of Hopf bifurcation, the critical parameter value of the bifurcation is obtained by theoretical analysis. Then, numerical simulations are carried out to verify the theoretical results.
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 7023163
Wikidata QID: Q59041893
describes a project that uses: Matlab
describes a project that uses: LSD
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/835482
OpenAlex ID: W2165372720
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description: scientific article; zbMATH DE number 7023163