Geometrically integrable maps in the plane and their periodic orbits

DOI10.1134/S1995080221100073OpenAlexW3205067285MaRDI QIDQ2242580

Yanyan Li

Publication date: 10 November 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080221100073

zbMATH Keywords

invariant setperiodic orbitdiscrete dynamical systemcoexistence of periods of periodic orbitsgeometrically integrable map

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Completely integrable discrete dynamical systems (37J70)

Related Items (3)

Ramified continua as global attractors of C ¹ -smooth self-maps of a cylinder close to skew products ⋮ The paths of nine mathematicians to the realm of dynamical systems ⋮ Simplest skew products on \(n\)-dimensional \((n\geq 2 )\) cells, cylinders and tori

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