Rotationally-ordered periodic orbits for multiharmonic area-preserving twist maps

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

zbMATH Keywords

periodic orbitsbifurcation diagramarea-preserving twist maps

Mathematics Subject Classification ID

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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