Meanders and reconnection-collision sequences in the standard nontwist map.
New global periodic orbit collision and separatrix reconnection scenarios exhibited by the standard nontwist map are described in detail, including exact methods for determining reconnection thresholds, methods that are implemented numerically. Results are compared to a parameter space breakup diagram for 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. Implications for transport are discussed.
Wurm
A
A
Department of Physics and Institute for Fusion Studies, The University of Texas at Austin, Austin, TX 78712, USA.
Apte
A
A
Fuchss
K
K
Morrison
P J
PJ
D008280:Magnetics; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D009991:Oscillometry; D010825:Physics / Q000379:methods*