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Lyapunov instability versus relaxation time in two coupled oscillators

Papachristou, P. and Mavrommatis, E. and Constantoudis, V. and Diakonos, F. and Wambach, J. :
Lyapunov instability versus relaxation time in two coupled oscillators.
[Online-Edition: http://dx.doi.org/10.1103/PhysRevE.73.016204]
In: Physical Review E, 73 (1) 016204. ISSN 1539-3755
[Article] , (2006)

Official URL: http://dx.doi.org/10.1103/PhysRevE.73.016204
Item Type: Article
Erschienen: 2006
Creators: Papachristou, P. and Mavrommatis, E. and Constantoudis, V. and Diakonos, F. and Wambach, J.
Title: Lyapunov instability versus relaxation time in two coupled oscillators
Language: English
Journal or Publication Title: Physical Review E
Volume: 73
Number: 1
Publisher: APS
Divisions: 05 Department of Physics > Institute of Nuclear Physics
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 634: Nuclear Structure, Nuclear Astrophysics and Fundamental Experiments at Low Momentum Transfer at the Superconducting Darmstadt Accelerator (S-DALINAC) > D: Theoretische Kernstrukturphysik > D2: Kernstrukturuntersuchungen mit Relevanz für das experimentelle Programm
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 634: Nuclear Structure, Nuclear Astrophysics and Fundamental Experiments at Low Momentum Transfer at the Superconducting Darmstadt Accelerator (S-DALINAC) > D: Theoretische Kernstrukturphysik
05 Department of Physics
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 634: Nuclear Structure, Nuclear Astrophysics and Fundamental Experiments at Low Momentum Transfer at the Superconducting Darmstadt Accelerator (S-DALINAC)
Zentrale Einrichtungen
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres
DFG-Collaborative Research Centres (incl. Transregio)
Date Deposited: 20 Jun 2011 07:12
Official URL: http://dx.doi.org/10.1103/PhysRevE.73.016204
Identification Number: doi:10.1103/PhysRevE.73.016204
Alternative Abstract:
Alternative abstract Language
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.English
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