Publication type: Article in scientific journal
Type of review: Peer review (publication)
Title: Phase-space volume of regions of trapped motion : multiple ring components and arcs
Authors: Benet, Luis
Merlo, Olivier
DOI: 10.1007/s10569-008-9182-1
Published in: Celestial Mechanics and Dynamical Astronomy
Volume(Issue): 103
Issue: 3
Page(s): 209
Pages to: 225
Issue Date: Mar-2009
Publisher / Ed. Institution: Springer
ISSN: 0923-2958
Language: English
Subjects: Nonlinear Sciences; Chaotic Dynamics
Subject (DDC): 510: 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.
Fulltext version: Published version
License (according to publishing contract): Licence according to publishing contract
Departement: Life Sciences and Facility Management
Organisational Unit: Institute of Computational Life Sciences (ICLS)
Appears in collections:Publikationen Life Sciences und Facility Management

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