| 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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Benet, L., & Merlo, O. (2009). Phase-space volume of regions of trapped motion : multiple ring components and arcs. Celestial Mechanics and Dynamical Astronomy, 103(3), 209–225. https://doi.org/10.1007/s10569-008-9182-1
Benet, L. and Merlo, O. (2009) ‘Phase-space volume of regions of trapped motion : multiple ring components and arcs’, Celestial Mechanics and Dynamical Astronomy, 103(3), pp. 209–225. Available at: https://doi.org/10.1007/s10569-008-9182-1.
L. Benet and O. Merlo, “Phase-space volume of regions of trapped motion : multiple ring components and arcs,” Celestial Mechanics and Dynamical Astronomy, vol. 103, no. 3, pp. 209–225, Mar. 2009, doi: 10.1007/s10569-008-9182-1.
BENET, Luis und Olivier MERLO, 2009. Phase-space volume of regions of trapped motion : multiple ring components and arcs. Celestial Mechanics and Dynamical Astronomy. März 2009. Bd. 103, Nr. 3, S. 209–225. DOI 10.1007/s10569-008-9182-1
Benet, Luis, and Olivier Merlo. 2009. “Phase-Space Volume of Regions of Trapped Motion : Multiple Ring Components and Arcs.” Celestial Mechanics and Dynamical Astronomy 103 (3): 209–25. https://doi.org/10.1007/s10569-008-9182-1.
Benet, Luis, and Olivier Merlo. “Phase-Space Volume of Regions of Trapped Motion : Multiple Ring Components and Arcs.” Celestial Mechanics and Dynamical Astronomy, vol. 103, no. 3, Mar. 2009, pp. 209–25, https://doi.org/10.1007/s10569-008-9182-1.
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