Recurrence of Kolmogorov-Arnold-Moser tori in nonanalytic twist maps

DOI10.1007/BF01017977zbMath0741.58026OpenAlexW2046816190MaRDI QIDQ1182253

Sang-Yoon Kim, Jicong Shi, Bambi Hu

Publication date: 28 June 1992

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01017977

zbMATH Keywords

critical exponentphase transitionrecurrencescalinguniversalityKAM toritwist mapinvariant circlesnonanalyticity

Mathematics Subject Classification ID

Ergodic theory (37A99)

Related Items

Renormalization and transition to chaos in area preserving nontwist maps

Cites Work

• Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
• Fractal boundary for the existence of invariant circles for area- preserving maps: Observations and renormalisation explanation
• A renormalization approach to invariant circles in area-preserving maps
• Erratic behavior of invariant circles in standard-like mappings
• Scaling for a Critical Kolmogorov-Arnold-Moser Trajectory