摘要
ThispaperstudiesthelocaldynamicsofanSDOFsystemwithquadraticandcubicstiffnessterms,andwithlineardelayedvelocityfeedback.Theanalysisindicatesthatforasufficientlylargevelocityfeedbackgain,theequilibriumofthesystemmayundergoanumberofstabilityswitcheswithanincreaseoftimedelay,andthenbecomesunstableforever.Ateachcriticalvalueoftimedelayforwhichthesystemchangesitsstability,agenericHopfbifurcationoccursandaperiodicmotionemergesinaone-sidedneighbourhoodofthecriticaltimedelay.ThemethodofFredholmalternativeisappliedtodeterminethebifurcatingperiodicmotionsandtheirstability.Itstressesontheeffectofthesystemparametersonthestableregionsandtheamplitudesofthebifurcatingperiodicsolutions.
出版日期
2004年04月14日（中国期刊网平台首次上网日期，不代表论文的发表时间）
