Applications of geometrical criteria for transition to Hamiltonian chaos

Yossi Ben Zion, Lawrence Horwitz

Research output: Contribution to journalArticlepeer-review

Abstract

Using a recently developed geometrical method, we study the transition from order to chaos in an important class of Hamiltonian systems. We show agreement between this geometrical method and the surface of section technique applied to detect chaotic behavior. We give, as a particular illustration, detailed results for an important class of potentials obtained from the perturbation of an oscillator Hamiltonian by means of higher-order polynomials.

Original languageEnglish
Article number036209
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume78
Issue number3
DOIs
StatePublished - 9 Sep 2008

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