Publikationstyp: Beitrag in wissenschaftlicher Zeitschrift
Art der Begutachtung: Peer review (Publikation)
Titel: Phase-space volume of regions of trapped motion : multiple ring components and arcs
Autor/-in: Benet, Luis
Merlo, Olivier
DOI: 10.1007/s10569-008-9182-1
Erschienen in: Celestial Mechanics and Dynamical Astronomy
Band(Heft): 103
Heft: 3
Seite(n): 209
Seiten bis: 225
Erscheinungsdatum: Mär-2009
Verlag / Hrsg. Institution: Springer
ISSN: 0923-2958
1572-9478
Sprache: Englisch
Schlagwörter: Nonlinear Sciences; Chaotic Dynamics
Fachgebiet (DDC): 510: Mathematik
Zusammenfassung: 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.
URI: https://digitalcollection.zhaw.ch/handle/11475/12091
Volltext Version: Publizierte Version
Lizenz (gemäss Verlagsvertrag): Lizenz gemäss Verlagsvertrag
Departement: Life Sciences und Facility Management
Organisationseinheit: Institut für Computational Life Sciences (ICLS)
Enthalten in den Sammlungen:Publikationen Life Sciences und Facility Management

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