Rotationally-ordered periodic orbits for multiharmonic area-preserving twist maps
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Publication:1342182
DOI10.1016/0167-2789(94)90107-4zbMath0814.58012OpenAlexW2009393492MaRDI QIDQ1342182
Robert S. MacKay, Jukka A. Ketoja
Publication date: 18 June 1995
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(94)90107-4
Local and nonlocal bifurcation theory for dynamical systems (37G99) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)
Related Items (4)
Cantori for multiharmonic maps ⋮ ``Critical phonons of the supercritical Frenkel-Kontorova model: renormalization bifurcation diagrams ⋮ Critical invariant circles in asymmetric and multiharmonic generalized standard maps ⋮ Global dynamics and diffusion in the rational standard map
Cites Work
- The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
- Chaotic trajectories in the standard map. The concept of anti- integrability
- Fractal boundary for the existence of invariant circles for area- preserving maps: Observations and renormalisation explanation
- Cantori for multiharmonic maps
- The one to two-hole transition for cantori
- Cantori for symplectic maps near the anti-integrable limit
- Greene's residue criterion
- Universal pattern underlying the recurrence of Kolmogorov-Arnol’d-Moser tori
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