Regularity of critical invariant circles of the standard nontwist map
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Publication:3025240
DOI10.1088/0951-7715/18/3/013zbMath1074.37026OpenAlexW2095354320MaRDI QIDQ3025240
Nikola P. Petrov, Rafael de la Llave, Amit Apte
Publication date: 13 July 2005
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2027.42/49075
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Robust attractor of non-twist systems ⋮ On Slater's criterion for the breakup of invariant curves ⋮ Collision of invariant bundles of quasi-periodic attractors in the dissipative standard map ⋮ Efficient and reliable algorithms for the computation of non-twist invariant circles ⋮ Degenerate resonances and synchronization of quasiperiodic oscillations ⋮ Breakup of shearless meanders and “outer” tori in the standard nontwist map ⋮ A simple reconnecting map ⋮ A new method to compute periodic orbits in general symplectic maps ⋮ Quasiperiodic perturbations of twodimensional Hamiltonian systems with nonmonotone rotation ⋮ Critical invariant circles in asymmetric and multiharmonic generalized standard maps ⋮ Numerical computation of rotation numbers of quasi-periodic planar curves ⋮ Boundaries of Siegel disks: Numerical studies of their dynamics and regularity ⋮ Degenerate resonances and synchronization in nearly Hamiltonian systems under quasi-periodic perturbations
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