Lyapunov instability versus relaxation time in two coupled oscillators

Papachristou, PK; Mavrommatis, E; Constantoudis, V; Diakonos, FK; Wambach, J

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