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Lyapunov instability versus relaxation time in two coupled oscillators

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dc.contributor.author Papachristou, PK en
dc.contributor.author Mavrommatis, E en
dc.contributor.author Constantoudis, V en
dc.contributor.author Diakonos, FK en
dc.contributor.author Wambach, J en
dc.date.accessioned 2014-03-01T01:24:34Z
dc.date.available 2014-03-01T01:24:34Z
dc.date.issued 2006 en
dc.identifier.issn 1539-3755 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/17338
dc.subject.classification Physics, Fluids & Plasmas en
dc.subject.classification Physics, Mathematical en
dc.subject.other Chaos theory en
dc.subject.other Damping en
dc.subject.other Lyapunov methods en
dc.subject.other System stability en
dc.subject.other Coupled oscillators en
dc.subject.other Lyapunov instability en
dc.subject.other Relaxation time en
dc.subject.other Oscillators (electronic) en
dc.title Lyapunov instability versus relaxation time in two coupled oscillators en
heal.type journalArticle en
heal.identifier.primary 10.1103/PhysRevE.73.016204 en
heal.identifier.secondary http://dx.doi.org/10.1103/PhysRevE.73.016204 en
heal.identifier.secondary 016204 en
heal.language English en
heal.publicationDate 2006 en
heal.abstract We consider the relation between relaxation time and the largest Lyapunov exponent in a system of two coupled oscillators, one of them being harmonic. It has been found that in a rather broad region of parameter space, contrary to the common expectation, both Lyapunov exponent and relaxation time increase as a function of the total energy. This effect is attributed to the fact that above a critical value of the total energy, although the Lyapunov exponent increases, Kolmogorov-Arnold-Moser tori appear and the chaotic fraction of phase space decreases. We examine the required conditions and demonstrate the key role of the dispersion relation for this behavior to occur. This study is useful, among other things, in the understanding of the damping of nuclear giant resonances. © 2006 The American Physical Society. en
heal.publisher AMERICAN PHYSICAL SOC en
heal.journalName Physical Review E - Statistical, Nonlinear, and Soft Matter Physics en
dc.identifier.doi 10.1103/PhysRevE.73.016204 en
dc.identifier.isi ISI:000235008800055 en
dc.identifier.volume 73 en
dc.identifier.issue 1 en


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