ON STABILITY BOUNDARY OF LINEAR MULTI-PARAMETER HAMILTONIAN SYSTEMS

在线阅读 下载PDF 导出详情
摘要 InthispaperanapproximateequationisderivedtodescribesmoothpartsofthestabilityboundaryforlinearHamiltoniansystems,dependingonarbitrarynumberofparameters.Withthisequation,wecanobtainparameterscorrespondingtothestabilityboundary,aswellastothestabilityandinstabilitydomains,pro-videdthatonepointonthestabilityboundaryisknown.Thendifferentialequationsdescribingtheevolutionofeigenvaluesandeigenvectorsalongacurveonthesta-bilityboundarysurfacearederived.Theseequationsalsoallowustoobtaincurvesbelongingtothestabilityboundary.Applicationstolineargyroscopicsystemsareconsideredandstudiedwithexamples.
机构地区 不详
出处 《力学学报:英文版》 2002年6期
出版日期 2002年06月16日(中国期刊网平台首次上网日期,不代表论文的发表时间)