Meanders and reconnection–collision sequences in the standard nontwist map

DOI10.1063/1.1915960zbMath1080.37048arXivnlin/0411026OpenAlexW2074192982WikidataQ51968616 ScholiaQ51968616MaRDI QIDQ5705500

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Publication date: 8 November 2005

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

Full work available at URL: https://arxiv.org/abs/nlin/0411026

Mathematics Subject Classification ID

Related Items (22)

Robust attractor of non-twist systems ⋮ On Slater's criterion for the breakup of invariant curves ⋮ Bifurcations in a family of Hamiltonian systems and associated nontwist cubic maps ⋮ Secondary nontwist phenomena in area-preserving maps ⋮ Efficient and reliable algorithms for the computation of non-twist invariant circles ⋮ DIFFUSIVE TRANSPORT THROUGH A NONTWIST BARRIER IN TOKAMAKS ⋮ 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 ⋮ The destruction of tori in volume-preserving maps ⋮ Intermittency and Transport Barriers in Fluids and Plasmas ⋮ Breakup of shearless meanders and “outer” tori in the standard nontwist map ⋮ The vanishing twist in the restricted three-body problem ⋮ Normal forms for 4D symplectic maps with twist singularities ⋮ Dynamics and transport in mean-field coupled, many degrees-of-freedom, area-preserving nontwist maps ⋮ Diffusion in a collisional standard map ⋮ Quasiperiodic perturbations of twodimensional Hamiltonian systems with nonmonotone rotation ⋮ Breakup of inverse golden mean shearless tori in the two-frequency standard nontwist map ⋮ Shearless transport barriers in unsteady two-dimensional flows and maps ⋮ Numerical computation of rotation numbers of quasi-periodic planar curves ⋮ Another look at the saddle-centre bifurcation: vanishing twist. ⋮ Degenerate resonances and synchronization in nearly Hamiltonian systems under quasi-periodic perturbations

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