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dc.contributor.authorBenet, Luis-
dc.contributor.authorMerlo, Olivier-
dc.date.accessioned2018-10-24T09:13:39Z-
dc.date.available2018-10-24T09:13:39Z-
dc.date.issued2009-03-
dc.identifier.issn0923-2958de_CH
dc.identifier.issn1572-9478de_CH
dc.identifier.urihttps://digitalcollection.zhaw.ch/handle/11475/12091-
dc.description.abstractThe 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.de_CH
dc.language.isoende_CH
dc.publisherSpringerde_CH
dc.relation.ispartofCelestial Mechanics and Dynamical Astronomyde_CH
dc.rightsLicence according to publishing contractde_CH
dc.subjectNonlinear Sciencesde_CH
dc.subjectChaotic Dynamicsde_CH
dc.subject.ddc510: Mathematikde_CH
dc.titlePhase-space volume of regions of trapped motion : multiple ring components and arcsde_CH
dc.typeBeitrag in wissenschaftlicher Zeitschriftde_CH
dcterms.typeTextde_CH
zhaw.departementLife Sciences und Facility Managementde_CH
zhaw.organisationalunitInstitut für Computational Life Sciences (ICLS)de_CH
dc.identifier.doi10.1007/s10569-008-9182-1de_CH
zhaw.funding.euNode_CH
zhaw.issue3de_CH
zhaw.originated.zhawNode_CH
zhaw.pages.end225de_CH
zhaw.pages.start209de_CH
zhaw.publication.statuspublishedVersionde_CH
zhaw.volume103de_CH
zhaw.publication.reviewPeer review (Publikation)de_CH
zhaw.webfeedBio-Inspired Methods & Neuromorphic Computingde_CH
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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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