A dynamical characterization of planar symmetries

DOI10.1007/s12346-011-0049-6zbMath1273.37012OpenAlexW2065977769MaRDI QIDQ1936516

Rafael Ortega

Publication date: 5 February 2013

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-011-0049-6

zbMATH Keywords

fixed pointtopological conjugacyorientation reversinganalytic diffeomorphismarea preservingplanar symmetries

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (2)

Attraction in nonmonotone planar systems and real-life models ⋮ Smooth linearisation of planar periodic maps

Cites Work

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• Index 1 fixed points of orientation reversing planar homeomorphisms
• Attractors with vanishing rotation number
• The theorem of Kerékjártó on periodic homeomorphisms of the disc and the sphere
• Fixed Points of Orientation Reversing Homeomorphisms of the Plane
• Retracts, fixed point index and differential equations
• Area-Preserving Homeomorphisms of the Open Disk Without Fixed Points
• The number of stable periodic solutions of time-dependent Hamiltonian systems with one degree of freedom
• A Brouwer-like theorem for orientation reversing homeomorphisms of the sphere
• Some fixed point theorems

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