Breakup of shearless meanders and “outer” tori in the standard nontwist map

DOI10.1063/1.2338026zbMath1146.37349arXivnlin/0601040OpenAlexW3101286990WikidataQ79170596 ScholiaQ79170596MaRDI QIDQ3531646

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Publication date: 3 November 2008

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0601040

Mathematics Subject Classification ID

Related Items (16)

On Slater's criterion for the breakup of invariant curves ⋮ Secondary nontwist phenomena in area-preserving maps ⋮ Efficient and reliable algorithms for the computation of non-twist invariant circles ⋮ Thirty years of turnstiles and transport ⋮ On a new fixed point of the renormalization group operator for area-preserving maps ⋮ Degenerate resonances and synchronization of quasiperiodic oscillations ⋮ Gyroaverage effects on nontwist Hamiltonians: separatrix reconnection and chaos suppression ⋮ A simple reconnecting map ⋮ Gauss map and Lyapunov exponents of interacting particles in a billiard ⋮ A new method to compute periodic orbits in general symplectic maps ⋮ Quasiperiodic perturbations of twodimensional Hamiltonian systems with nonmonotone rotation ⋮ Breakup of inverse golden mean shearless tori in the two-frequency standard nontwist map ⋮ Critical invariant circles in asymmetric and multiharmonic generalized standard maps ⋮ Birkhoff averages and the breakdown of invariant tori in volume-preserving maps ⋮ Boundaries of Siegel disks: Numerical studies of their dynamics and regularity ⋮ Degenerate resonances and synchronization in nearly Hamiltonian systems under quasi-periodic perturbations

Cites Work

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• A renormalization approach to invariant circles in area-preserving maps
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• Regularity of critical invariant circles of the standard nontwist map
• Chaotic transport by Rossby waves in shear flow
• KAM Theory and a Partial Justification of Greene's Criterion for Nontwist Maps
• Regularity of Conjugacies between Critical Circle Maps: An Experimental Study
• NONTWIST AREA PRESERVING MAPS WITH REVERSING SYMMETRY GROUP
• Meanders and reconnection–collision sequences in the standard nontwist map
• Renormalization and destruction of 1/γ2 tori in the standard nontwist map

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