Chaos in orientation reversing twist maps of the plane

DOI10.1016/j.topol.2006.05.013zbMath1118.37025OpenAlexW2007091586MaRDI QIDQ2643062

Yanyan Li

Publication date: 23 August 2007

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2006.05.013

zbMATH Keywords

Conley indexsymbolic dynamicsbraidschaotic behaviorperiodic pointstwist mapsorientation reversing maps

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Symbolic dynamics (37B10) Index theory for dynamical systems, Morse-Conley indices (37B30) Dynamical aspects of twist maps (37E40)

Related Items

Entropy for symbolic dynamics with overlapping alphabets, The Poincaré-Hopf theorem for relative braid classes, Braided connecting orbits in parabolic equations via computational homology, Symbolic dynamics for nonhyperbolic systems, Scalar parabolic PDEs and braids

Uses Software

• GAIO

Cites Work

• The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
• The periodic orbits of an area preserving twist map
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• Morse theory on spaces of braids and Lagrangian dynamics
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• Monotone twist mappings and the calculus of variations
• Monotone recurrence relations, their Birkhoff orbits and topological entropy
• On the geometry and dynamics of diffeomorphisms of surfaces
• Noncompact Chain Recurrence and Attraction
• Braids, Links, and Mapping Class Groups. (AM-82)
• Period Three Implies Chaos
• Topological fluid mechanics of stirring
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