Hopf bifurcation of nonlinear system with multisource stochastic factors

Hopf bifurcation of nonlinear system with multisource stochastic factors

The article mainly explores the Hopf bifurcation of a kind of nonlinear system with Gaussian white noise excitation and bounded random parameter.Firstly,the nonlinear system with multisource stochastic fac-tors is reduced to an equivalent deterministic nonlinear system by the sequential orthogonal d...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:力学快报（英文版） 2023, Vol.13 (2), p.93-97
Hauptverfasser: Xinyu Bai, Shaojuan Ma, Qianling Zhang, Qiyi Liu
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 97
container_issue 2
container_start_page 93
container_title 力学快报（英文版）
container_volume 13
creator Xinyu Bai
Shaojuan Ma
Qianling Zhang
Qiyi Liu
description The article mainly explores the Hopf bifurcation of a kind of nonlinear system with Gaussian white noise excitation and bounded random parameter.Firstly,the nonlinear system with multisource stochastic fac-tors is reduced to an equivalent deterministic nonlinear system by the sequential orthogonal decomposi-tion method and the Karhunen-Loeve(K-L)decomposition theory.Secondly,the critical conditions about the Hopf bifurcation of the equivalent deterministic system are obtained.At the same time the influence of multisource stochastic factors on the Hopf bifurcation for the proposed system is explored.Finally,the theorical results are verified by the numerical simulations.
doi_str_mv 10.3969/j.issn.2095-0349.2023.02.003
format Article
fullrecord <record><control><sourceid>wanfang_jour</sourceid><recordid>TN_cdi_wanfang_journals_lxkb_e202302003</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><wanfj_id>lxkb_e202302003</wanfj_id><sourcerecordid>lxkb_e202302003</sourcerecordid><originalsourceid>FETCH-wanfang_journals_lxkb_e2023020033</originalsourceid><addsrcrecordid>eNqNTr0KwjAYzKBg0b5DBsGpMU1sIbMofQD3EkNiU9NE-qVU394I4uwtd9wPHELbkhIuarHviQXwhFFRFZQfRFKME8oIpXyBsp-_QjlATxOqsuaCZ6hpwsPgqzXTqGS0weNgsA_eWa_liOEFUQ94trHDw-SihZCKGkMMqpMQrcJGqhhG2KClkQ50_uU12p1Pl2NTzNIb6W9tn5Y-Ja173q-t_jykLP3j_zffGXtIkA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Hopf bifurcation of nonlinear system with multisource stochastic factors</title><source>DOAJ Directory of Open Access Journals</source><source>EZB-FREE-00999 freely available EZB journals</source><creator>Xinyu Bai ; Shaojuan Ma ; Qianling Zhang ; Qiyi Liu</creator><creatorcontrib>Xinyu Bai ; Shaojuan Ma ; Qianling Zhang ; Qiyi Liu</creatorcontrib><description>The article mainly explores the Hopf bifurcation of a kind of nonlinear system with Gaussian white noise excitation and bounded random parameter.Firstly,the nonlinear system with multisource stochastic fac-tors is reduced to an equivalent deterministic nonlinear system by the sequential orthogonal decomposi-tion method and the Karhunen-Loeve(K-L)decomposition theory.Secondly,the critical conditions about the Hopf bifurcation of the equivalent deterministic system are obtained.At the same time the influence of multisource stochastic factors on the Hopf bifurcation for the proposed system is explored.Finally,the theorical results are verified by the numerical simulations.</description><identifier>ISSN: 2095-0349</identifier><identifier>DOI: 10.3969/j.issn.2095-0349.2023.02.003</identifier><language>eng</language><publisher>School of Mathematics and Information Science,North Minzu University,YinChuan,NingXia 750021,China</publisher><ispartof>力学快报（英文版）, 2023, Vol.13 (2), p.93-97</ispartof><rights>Copyright © Wanfang Data Co. Ltd. All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://www.wanfangdata.com.cn/images/PeriodicalImages/lxkb-e/lxkb-e.jpg</thumbnail><link.rule.ids>314,776,780,860,4010,27900,27901,27902</link.rule.ids></links><search><creatorcontrib>Xinyu Bai</creatorcontrib><creatorcontrib>Shaojuan Ma</creatorcontrib><creatorcontrib>Qianling Zhang</creatorcontrib><creatorcontrib>Qiyi Liu</creatorcontrib><title>Hopf bifurcation of nonlinear system with multisource stochastic factors</title><title>力学快报（英文版）</title><description>The article mainly explores the Hopf bifurcation of a kind of nonlinear system with Gaussian white noise excitation and bounded random parameter.Firstly,the nonlinear system with multisource stochastic fac-tors is reduced to an equivalent deterministic nonlinear system by the sequential orthogonal decomposi-tion method and the Karhunen-Loeve(K-L)decomposition theory.Secondly,the critical conditions about the Hopf bifurcation of the equivalent deterministic system are obtained.At the same time the influence of multisource stochastic factors on the Hopf bifurcation for the proposed system is explored.Finally,the theorical results are verified by the numerical simulations.</description><issn>2095-0349</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNqNTr0KwjAYzKBg0b5DBsGpMU1sIbMofQD3EkNiU9NE-qVU394I4uwtd9wPHELbkhIuarHviQXwhFFRFZQfRFKME8oIpXyBsp-_QjlATxOqsuaCZ6hpwsPgqzXTqGS0weNgsA_eWa_liOEFUQ94trHDw-SihZCKGkMMqpMQrcJGqhhG2KClkQ50_uU12p1Pl2NTzNIb6W9tn5Y-Ja173q-t_jykLP3j_zffGXtIkA</recordid><startdate>2023</startdate><enddate>2023</enddate><creator>Xinyu Bai</creator><creator>Shaojuan Ma</creator><creator>Qianling Zhang</creator><creator>Qiyi Liu</creator><general>School of Mathematics and Information Science,North Minzu University,YinChuan,NingXia 750021,China</general><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>2023</creationdate><title>Hopf bifurcation of nonlinear system with multisource stochastic factors</title><author>Xinyu Bai ; Shaojuan Ma ; Qianling Zhang ; Qiyi Liu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-wanfang_journals_lxkb_e2023020033</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Xinyu Bai</creatorcontrib><creatorcontrib>Shaojuan Ma</creatorcontrib><creatorcontrib>Qianling Zhang</creatorcontrib><creatorcontrib>Qiyi Liu</creatorcontrib><collection>Wanfang Data Journals - Hong Kong</collection><collection>WANFANG Data Centre</collection><collection>Wanfang Data Journals</collection><collection>万方数据期刊 - 香港版</collection><collection>China Online Journals (COJ)</collection><collection>China Online Journals (COJ)</collection><jtitle>力学快报（英文版）</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Xinyu Bai</au><au>Shaojuan Ma</au><au>Qianling Zhang</au><au>Qiyi Liu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Hopf bifurcation of nonlinear system with multisource stochastic factors</atitle><jtitle>力学快报（英文版）</jtitle><date>2023</date><risdate>2023</risdate><volume>13</volume><issue>2</issue><spage>93</spage><epage>97</epage><pages>93-97</pages><issn>2095-0349</issn><abstract>The article mainly explores the Hopf bifurcation of a kind of nonlinear system with Gaussian white noise excitation and bounded random parameter.Firstly,the nonlinear system with multisource stochastic fac-tors is reduced to an equivalent deterministic nonlinear system by the sequential orthogonal decomposi-tion method and the Karhunen-Loeve(K-L)decomposition theory.Secondly,the critical conditions about the Hopf bifurcation of the equivalent deterministic system are obtained.At the same time the influence of multisource stochastic factors on the Hopf bifurcation for the proposed system is explored.Finally,the theorical results are verified by the numerical simulations.</abstract><pub>School of Mathematics and Information Science,North Minzu University,YinChuan,NingXia 750021,China</pub><doi>10.3969/j.issn.2095-0349.2023.02.003</doi></addata></record>
fulltext fulltext
identifier ISSN: 2095-0349
ispartof 力学快报（英文版）, 2023, Vol.13 (2), p.93-97
issn 2095-0349
language eng
recordid cdi_wanfang_journals_lxkb_e202302003
source DOAJ Directory of Open Access Journals; EZB-FREE-00999 freely available EZB journals
title Hopf bifurcation of nonlinear system with multisource stochastic factors
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-07T21%3A07%3A51IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-wanfang_jour&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Hopf%20bifurcation%20of%20nonlinear%20system%20with%20multisource%20stochastic%20factors&rft.jtitle=%E5%8A%9B%E5%AD%A6%E5%BF%AB%E6%8A%A5%EF%BC%88%E8%8B%B1%E6%96%87%E7%89%88%EF%BC%89&rft.au=Xinyu%20Bai&rft.date=2023&rft.volume=13&rft.issue=2&rft.spage=93&rft.epage=97&rft.pages=93-97&rft.issn=2095-0349&rft_id=info:doi/10.3969/j.issn.2095-0349.2023.02.003&rft_dat=%3Cwanfang_jour%3Elxkb_e202302003%3C/wanfang_jour%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_wanfj_id=lxkb_e202302003&rfr_iscdi=true