Lyapunov Instability versus Relaxation Time in two Coupled Oscillators

Details Lyapunov Instability versus Relaxation Time in two Coupled Oscillators Lyapunov Instability versus Relaxation Time in two Coupled Oscillators

2005-05-20

arxiv.org/abs/nlin/0505048v1

Phys. Rev. E 73, 016204 (2006)

Nonlinear Sciences

Chaotic Dynamics

10 pages, 8 figures, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.73.016204

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, KAM 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 behaviour to occur. This study is useful, among others, in the understanding of the damping of nuclear giant resonances.

Affiliated with

Also associated with

No associations

Rating

Lyapunov Instability versus Relaxation Time in two Coupled Oscillators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lyapunov Instability versus Relaxation Time in two Coupled Oscillators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lyapunov Instability versus Relaxation Time in two Coupled Oscillators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-236721