Hopf bifurcations of nonautonomous systems at resonance

Hopf bifurcations of periodic nonautonomous systems at resonance are studied and the results similar to those at nonresonance are drawn.     

非线性振动理论在机械工程中的几个应用

非线性振动理论早已广泛应用于无线电技术与控制工程,近年来在机械工程中也得到越来越多的应用。许多问题,例如,振动机的动力学,机械系统通过共振(或临界转速),振动系统与能源间的相互作用,非线性动力吸振,冲击消振,机床与金属切削加工中的自振,以及弹性体内耗对系统振动的影响,等等,都需要应用非线性振动理论来处理。下面介绍其中的几个应用。     

HOPF BIFURCATIONS OF NONAUTONOMOUS SYSTEMS AT RESONANCE

Hopfbifurcations of periodic nonautonomous systems at resonance are studied and theresults similar to those at nonresonance are drawn.