Meanders and Reconnection-Collision Sequences in the Standard Nontwist Map

Details Meanders and Reconnection-Collision Sequences in the Standard Nontwist Map Meanders and Reconnection-Collision Sequences in the Standard Nontwist Map

2004-11-10

arxiv.org/abs/nlin/0411026v1

Nonlinear Sciences

Chaotic Dynamics

14 papes, 15 figures

Scientific paper

10.1063/1.1915960

New global periodic orbit collision/separatrix reconnection scenarios in the standard nontwist map in different regions of parameter space are described in detail, including exact methods for determining reconnection thresholds that are implemented numerically. The results are compared to a break-up diagram of shearless invariant curves. The existence of meanders (invariant tori that are not graphs) is demonstrated numerically for both odd and even period reconnection for certain regions in parameter space, and some of the implications on transport are discussed.

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