Title: Phase-space volume of regions of trapped motion : multiple ring components and arcs
Authors : Benet, Luis
Merlo, Olivier
Published in : Celestial mechanics and dynamical astronomy
Volume(Issue) : 103
Issue : 3
Pages : 209
Pages to: 225
Publisher / Ed. Institution : Springer
Issue Date: Mar-2009
License (according to publishing contract) : Licence according to publishing contract
Type of review: Peer review (publication)
Language : English
Subjects : Nonlinear Sciences; Chaotic Dynamics
Subject (DDC) : 500: Natural sciences and mathematics
Abstract: The phase-space volume of regions of regular or trapped motion, for bounded or scattering systems with two degrees of freedom respectively, displays universal properties. In particular, sudden reductions in the phase-space volume or gaps are observed at specific values of the parameter which tunes the dynamics; these locations are approximated by the stability resonances. The latter are defined by a resonant condition on the stability exponents of a central linearly stable periodic orbit. We show that, for more than two degrees of freedom, these resonances can be excited opening up gaps, which effectively separate and reduce the regions of trapped motion in phase space. Using the scattering approach to narrow rings and a billiard system as example, we demonstrate that this mechanism yields rings with two or more components. Arcs are also obtained, specifically when an additional (mean-motion) resonance condition is met. We obtain a complete representation of the phase-space volume occupied by the regions of trapped motion.
Departement: Life Sciences and Facility Management
Organisational Unit: Institute of Applied Simulation (IAS)
Publication type: Article in scientific journal
DOI : 10.1007/s10569-008-9182-1
ISSN: 0923-2958
1572-9478
URI: https://digitalcollection.zhaw.ch/handle/11475/12091
Appears in Collections:Publikationen Life Sciences und Facility Management

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