Meanders and Reconnection-Collision Sequences in the Standard Nontwist Map

Abstract

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.

14 papes, 15 figures

References in corpus (6)

• Generic Twistless Bifurcations
• The Breakup Condition of Shearless KAM Curves in the Quadratic Map
• Indicators of Reconnection Processes and Transition to Global Chaos in Nontwist Maps
• Separatrix Reconnections in Chaotic Regimes
• Renormalization and destruction of $1/{\gamma }^2$ tori in the standard nontwist map
• Complex dynamics in a simple model of pulsations for Super-Asymptotic Giant Branch Stars

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• Resonances and Twist in Volume-Preserving Mappings
• Area-preserving maps models of gyro-averaged $\mathbf{E}\times \mathbf{B}$ chaotic transport
• (Vanishing) Twist in the Saddle-Centre and Period-Doubling Bifurcation
• Chaotic saddles and interior crises in a dissipative nontwist system
• Shearless bifurcations in particle transport for reversed shear tokamaks
• The Vanishing Twist in the Restricted Three Body Problem
• Normal Forms for Symplectic Maps with Twist Singularities
• Shearless curve breakup in the biquadratic nontwist map
• On a new fixed point of the renormalization group operator for area-preserving maps
• Detecting Shearless Phase-Space Transport Barriers in Global Gyrokinetic Turbulence Simulations with Test Particle Map Models