Random Wandering Around Homoclinic-like Manifolds in Symplectic Map Chain

Details Random Wandering Around Homoclinic-like Manifolds in Symplectic Map Chain Random Wandering Around Homoclinic-like Manifolds in Symplectic Map Chain

2001-12-29

arxiv.org/abs/nlin/0112048v1

Nonlinear Sciences

Chaotic Dynamics

submitted to Prog. Theor. Phys

Scientific paper

10.1143/PTP.107.637

We present a method to construct a symplecticity preserving renormalization group map of a chain of weakly nonlinear symplectic maps and obtain a general reduced symplectic map describing its long-time behaviour. It is found that the modulational instability in the reduced map triggers random wandering of orbits around some homoclinic-like manifolds, which is understood as the Bernoulli shifts.

Affiliated with

Also associated with

No associations

Rating

Random Wandering Around Homoclinic-like Manifolds in Symplectic Map Chain 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 Random Wandering Around Homoclinic-like Manifolds in Symplectic Map Chain, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Random Wandering Around Homoclinic-like Manifolds in Symplectic Map Chain will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-95532