Renormalization and destruction of $1/γ^2$ tori in the standard nontwist map

Details Renormalization and destruction of $1/γ^2$ tori in the standard nontwist map Renormalization and destruction of $1/γ^2$ tori in the standard nontwist map

2002-10-29

arxiv.org/abs/nlin/0210068v1

Chaos Vol 13(2) pp. 421-433. June 2003

Nonlinear Sciences

Chaotic Dynamics

To be Submitted to Chaos

Scientific paper

10.1063/1.1555472

Extending the work of del-Castillo-Negrete, Greene, and Morrison, Physica D {\bf 91}, 1 (1996) and {\bf 100}, 311 (1997) on the standard nontwist map, the breakup of an invariant torus with winding number equal to the inverse golden mean squared is studied. Improved numerical techniques provide the greater accuracy that is needed for this case. The new results are interpreted within the renormalization group framework by constructing a renormalization operator on the space of commuting map pairs, and by studying the fixed points of the so constructed operator.

Affiliated with

Also associated with

No associations

Rating

Renormalization and destruction of $1/γ^2$ tori in the standard nontwist map 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 Renormalization and destruction of $1/γ^2$ tori in the standard nontwist map, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Renormalization and destruction of $1/γ^2$ tori in the standard nontwist map will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-535047