On the analysis of time-periodic nonlinear Hamiltonian dynamical systems

E. A. Butcher, S. C. Sinha

Research output: Contribution to conferencePaperpeer-review

6 Scopus citations

Abstract

In this paper, some analysis techniques for general time-periodic nonlinear Hamiltonian dynamical systems have been presented. First, the well-known Lyapunov-Floquet transformation is utilized to convert the time-periodic dynamical system to a form in which the linear part is time invariant. At this stage two viable alternatives are suggested. In the first approach, the resulting dynamical system is transformed to a Hamiltonian normal form through an application of permutation matrices. In the second approach, the resulting quasilinear time-periodic system is directly analyzed via time-dependent normal form theory.

Original languageEnglish (US)
Pages375-386
Number of pages12
StatePublished - Dec 1 1995
Externally publishedYes
EventProceedings of the 1995 ASME Design Engineering Technical Conference. Part A-1 - Boston, MA, USA
Duration: Sep 17 1995Sep 20 1995

Other

OtherProceedings of the 1995 ASME Design Engineering Technical Conference. Part A-1
CityBoston, MA, USA
Period9/17/959/20/95

ASJC Scopus subject areas

  • Engineering(all)

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