Chaotic dynamics of monotone twist maps

DOI10.1007/s10114-022-0453-7zbMath1490.37058OpenAlexW4210734291MaRDI QIDQ2075436

Guowei Yu

Publication date: 14 February 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-022-0453-7

zbMATH Keywords

topological entropyhomoclinic and heteroclinic orbitsmonotone twist maps

Mathematics Subject Classification ID

Topological entropy (37B40) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Dynamical aspects of twist maps (37E40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
• Characterization of geodesic flows on \(T^{2}\) with and without positive topological entropy
• More Denjoy minimal sets for area preserving diffeomorphisms
• Arnold diffusion: a variational construction
• A variational approach to chaotic dynamics in periodically forced nonlinear oscillators
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• Heteroclinic orbits and chaotic invariant sets for monotone twist maps
• MINIMAL GEODESIC FOLIATION ON T² IN CASE OF VANISHING TOPOLOGICAL ENTROPY
• Monotone recurrence relations, their Birkhoff orbits and topological entropy
• Variational Construction of Orbits of Twist Diffeomorphisms
• Destruction of invariant circles
• Some geometrical conditions for the existence of chaotic geodesics on a torus
• The calculus of variations and the forced pendulum

This page was built for publication: Chaotic dynamics of monotone twist maps