Is Arnold diffusion relevant to global diffusion?

Details Is Arnold diffusion relevant to global diffusion? Is Arnold diffusion relevant to global diffusion?

2003-07-27

arxiv.org/abs/nlin/0307050v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 6 figures

Scientific paper

Global diffusion of Hamiltonian dynamical systems is investigated by using a coupled standard maps. Arnold web is visualized in the frequency space, using local rotation numbers, while Arnold diffusion and resonance overlaps are distinguished by the residence time distributions at resonance layers. Global diffusion in the phase space is shown to be accelerated by diffusion across overlapped resonances generated by the coupling term, rather than Arnold diffusion along the lower-order resonances. The former plays roles of hubs for transport in the phase space, and accelerate the diffusion.

Affiliated with

Also associated with

No associations

Rating

Is Arnold diffusion relevant to global diffusion? 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 Is Arnold diffusion relevant to global diffusion?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Is Arnold diffusion relevant to global diffusion? will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-712682