Coexistence of periodic points in reversible dynamical systems on a surface

DOI10.1063/1.527582zbMath0657.34044OpenAlexW2021682479MaRDI QIDQ3805082

Kiyotaka Tanikawa, Yoshihiro Yamaguchi

Publication date: 1987

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527582

zbMATH Keywords

cyclesperiodic pointsreversible dynamical systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

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Dynamical ordering of symmetric non-Birkhoff periodic points in reversible monotone twist mappings ⋮ Lower-dimensional tori in reversible systems ⋮ A theorem on the first heteroclinic tangency in two-dimensional maps. Orientation-preserving cases ⋮ New type of heteroclinic tangency in two-dimensional maps ⋮ Coexistence of symmetric periodic points in the standard map

Cites Work

• Universal behaviour in families of area-preserving maps
• Critical Behavior of a KAM surface. I: Empirical results
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• Impossibility of the capture of retrograde satellites in the restricted three-body problem