On the analysis of time-periodic nonlinear Hamiltonian dynamical systems

Eric Butcher, S. C. Sinha

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

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)
Title of host publicationAmerican Society of Mechanical Engineers, Design Engineering Division (Publication) DE
EditorsS.C. Sinha, J.P. Cusumano, F. Pfeiffer, A.K. Bajaj, R.A. Ibrahim, al et al
Pages375-386
Number of pages12
Volume84
Edition3 Pt A/1
StatePublished - 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

Fingerprint

Hamiltonians
Dynamical systems
Time varying systems

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Butcher, E., & Sinha, S. C. (1995). On the analysis of time-periodic nonlinear Hamiltonian dynamical systems. In S. C. Sinha, J. P. Cusumano, F. Pfeiffer, A. K. Bajaj, R. A. Ibrahim, & A. et al (Eds.), American Society of Mechanical Engineers, Design Engineering Division (Publication) DE (3 Pt A/1 ed., Vol. 84, pp. 375-386)

On the analysis of time-periodic nonlinear Hamiltonian dynamical systems. / Butcher, Eric; Sinha, S. C.

American Society of Mechanical Engineers, Design Engineering Division (Publication) DE. ed. / S.C. Sinha; J.P. Cusumano; F. Pfeiffer; A.K. Bajaj; R.A. Ibrahim; al et al. Vol. 84 3 Pt A/1. ed. 1995. p. 375-386.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Butcher, E & Sinha, SC 1995, On the analysis of time-periodic nonlinear Hamiltonian dynamical systems. in SC Sinha, JP Cusumano, F Pfeiffer, AK Bajaj, RA Ibrahim & A et al (eds), American Society of Mechanical Engineers, Design Engineering Division (Publication) DE. 3 Pt A/1 edn, vol. 84, pp. 375-386, Proceedings of the 1995 ASME Design Engineering Technical Conference. Part A-1, Boston, MA, USA, 9/17/95.
Butcher E, Sinha SC. On the analysis of time-periodic nonlinear Hamiltonian dynamical systems. In Sinha SC, Cusumano JP, Pfeiffer F, Bajaj AK, Ibrahim RA, et al A, editors, American Society of Mechanical Engineers, Design Engineering Division (Publication) DE. 3 Pt A/1 ed. Vol. 84. 1995. p. 375-386
Butcher, Eric ; Sinha, S. C. / On the analysis of time-periodic nonlinear Hamiltonian dynamical systems. American Society of Mechanical Engineers, Design Engineering Division (Publication) DE. editor / S.C. Sinha ; J.P. Cusumano ; F. Pfeiffer ; A.K. Bajaj ; R.A. Ibrahim ; al et al. Vol. 84 3 Pt A/1. ed. 1995. pp. 375-386
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