Bifurcations and dynamical evolution of eigenvalues of Hamiltonian systems

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Title:	Bifurcations and dynamical evolution of eigenvalues of Hamiltonian systems
Authors:	Hsiao, Fu-Yuen;Scheeres, D. J.
Contributors:	淡江大學航空太空工程學系
Keywords:	Bifurcation (mathematics);Hamiltonians;Mathematical models;Stability;Evolution of eigenvalues;Hamiltonian system;Krein signature;Transient stability;Eigenvalues and eigenfunctions
Date:	2006-01
Issue Date:	2013-03-20 16:23:52 (UTC+8)
Publisher:	Amsterdam: Elsevier BV * North-Holland
Abstract:	The transient behavior of the eigenvalues of a state transition matrix in a Hamiltonian system is investigated. Mathematical tools are developed to derive the necessary and sufficient conditions for bifurcations of eigenvalues off and onto the unit circle. The transient behavior of eigenvalues is quantified and the mechanism by which instability transitions occur is identified. This work can be seen as a generalization of the Krein Signature.
Relation:	Physica D: Nonlinear Phenomena 213(1), pp.66-75
DOI:	10.1016/j.physd.2005.10.014
Appears in Collections:	[Graduate Institute & Department of Aerospace Engineering] Journal Article

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