Identification of symmetry breaking and a bifurcation sequence to chaos in single particle dynamics in magnetic reversals
type: Item
instance of: scholarly article
title: Identification of symmetry breaking and a bifurcation sequence to chaos in single particle dynamics in magnetic reversals
zbMATH Open document ID: 0986.37045
DOI: 10.1016/S0167-2789(99)00144-X
author: R. Smith
published in: Physica D
publication date: 2000-11-21T00:00:00Z
review text: The authors show how the underlying dynamics in magnetic reversals with shear component differs from one with zero shear. The crucial difference from the shear free case is that the Hamiltonian takes a distinctively different form. The authors use numerically integrated trajectories to show that the effect of the shear field breaks the symmetry of the system so that the topology of the invariant tori of regular orbits is changed. The interplay of 3D trajectories and SOS plots have played an decisive role in the present effort to understand the properties of the studied system. The route to chaos is via (period doubling) bifurcation of the Möbius strip tori.
Mathematics Subject Classification ID: 37G40
Mathematics Subject Classification ID: 37J20
Mathematics Subject Classification ID: 34C14
zbMATH DE Number: 1515734
zbMATH Keywords: period doubling
zbMATH Keywords: invariant tori
zbMATH Keywords: Hamiltonian system
zbMATH Keywords: symmetry breaking
zbMATH Keywords: Moebius strip tori
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: Q4936168
cites work: Magneto-Hydrodynamic Shocks
full work available at URL: s0167-2789(99)00144-x
OpenAlex ID: W2059724418
Wikidata QID: Q127676225
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description: scientific article; zbMATH DE number 1515734