Nonanalytic twist maps and Frenkel-Kontorova models

DOI10.1016/0167-2789(94)90180-5zbMath0820.58035OpenAlexW2083889183MaRDI QIDQ1339253

Jicong Shi, Bambi Hu

Publication date: 11 September 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: http://cds.cern.ch/record/258237

zbMATH Keywords

critical exponentsrecurrencescalinginvariant curvetwist mapschaotic transitions

Mathematics Subject Classification ID

Topological dynamics (37B99) Phase transitions (general) in equilibrium statistical mechanics (82B26) Low-dimensional dynamical systems (37E99)

Related Items

Near threshold anomalous transport in the standard map

Cites Work

• The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
• Universal properties of the transition from quasi-periodicity to chaos in dissipative systems
• Scaling exponents at the transition by breaking of analyticity for incommensurate structures
• Fractal boundary for the existence of invariant circles for area- preserving maps: Observations and renormalisation explanation
• Critical Behavior of a KAM surface. I: Empirical results
• Frenkel-Kontorova model with Toda interactions
• Singularity spectrum of a critical KAM torus