ON STABILITY BOUNDARY OF LINEAR MULTI-PARAMETER HAMILTONIAN SYSTEMS-中国Betway体育网页登陆

摘要 InthispaperanapproximateequationisderivedtodescribesmoothpartsofthestabilityboundaryforlinearHamiltoniansystems,dependingonarbitrarynumberofparameters.Withthisequation,wecanobtainparameterscorrespondingtothestabilityboundary,aswellastothestabilityandinstabilitydomains,pro-videdthatonepointonthestabilityboundaryisknown.Thendifferentialequationsdescribingtheevolutionofeigenvaluesandeigenvectorsalongacurveonthesta-bilityboundarysurfacearederived.Theseequationsalsoallowustoobtaincurvesbelongingtothestabilityboundary.Applicationstolineargyroscopicsystemsareconsideredandstudiedwithexamples.

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ON STABILITY BOUNDARY OF LINEAR MULTI-PARAMETER HAMILTONIAN SYSTEMS

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