Bifurcation sequences and tree interactions in some Hamiltonian systems
type: Item
instance of: scholarly article
title: Bifurcation sequences and tree interactions in some Hamiltonian systems
zbMATH Open document ID: 0589.58019
DOI: 10.1016/0167-2789(85)90184-8
author: B. George
published in: Physica D
publication date: 1985-01-01T00:00:00Z
review text: This paper shows by two numerical examples (the Hamiltonian systems associated to a particle in a standing wave field and, respectively, to the Duffing oscillator) that the bifurcation scenarios of periodic orbits in 3-dimensional Hamiltonian systems are more complicated than what was initially expected.
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 37G99
zbMATH DE Number: 3947269
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: Duffing oscillator
zbMATH Keywords: periodic orbits in 3-dimensional Hamiltonian systems
reviewed by: Alexandru Dimca
MaRDI profile type: Publication
full work available at URL: 0167-2789(85)90184-8
OpenAlex ID: W2079271508
cites work: Universal behaviour in families of area-preserving maps
cites work: On universality for area-preserving maps of the plane
cites work: Infinite bifurcations, gaps and bubbles in Hamiltonian systems
description: scientific article; zbMATH DE number 3947269