On the structure of the Hamiltonian systems. The Fast Lyapunov Indicator: a new very sensitive tool

Details On the structure of the Hamiltonian systems. The Fast Lyapunov Indicator: a new very sensitive tool On the structure of the Hamiltonian systems. The Fast Lyapunov Indicator: a new very sensitive tool

Oct 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000dps....32.6001f&link_type=abstract

American Astronomical Society, DPS Meeting #32, #60.01; Bulletin of the American Astronomical Society, Vol. 32, p.1115

Statistics

Computation

2

Scientific paper

It is already known (Froeschlè, Lega and Gonczi 1997) that the Fast Lyapunov Indicator, i.e. the computation on a relatively short time of the largest Lyapunov indicator, allows one to discriminate between ordered and weak chaotic motion. We have found that, under certain conditions, the FLI also discriminates between resonant and non resonant orbits, not only for Hamiltonian systems with two degrees of freedom, but also for higher dimensional ones. This method not only allows one to display the resonant Arnold web, but also to detect the transition between Nekhoroshev's stable regime to Chirikov's diffusive one.

Affiliated with

Also associated with

No associations

Rating

On the structure of the Hamiltonian systems. The Fast Lyapunov Indicator: a new very sensitive tool 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 On the structure of the Hamiltonian systems. The Fast Lyapunov Indicator: a new very sensitive tool, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the structure of the Hamiltonian systems. The Fast Lyapunov Indicator: a new very sensitive tool will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-867754