Coexistence of symmetric periodic points in the standard map

DOI10.1063/1.528426zbMath0679.58039OpenAlexW1969065907MaRDI QIDQ4729065

Kiyotaka Tanikawa, Yoshihiro Yamaguchi

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528426

zbMATH Keywords

perturbationbifurcationstandard mapKolmogorov-Arnold- Mosersymmetric periodic points

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

Dynamical ordering of symmetric non-Birkhoff periodic points in reversible monotone twist mappings, Lower-dimensional tori in reversible systems, Bifurcation of the period-4 orbits in the standard map, On the appearance order of homoclinic and heteroclinic intersections in a family of dissipative maps of the plane

Cites Work

• Universal behaviour in families of area-preserving maps
• Critical Behavior of a KAM surface. I: Empirical results
• Coexistence of periodic points in reversible dynamical systems on a surface