Search for Periodic Orbits Appearing through Anomalous Rotation Bifurcation

DOI10.55653/FORMA.2023.001.003OpenAlexW4386990082MaRDI QIDQ6085956

Yoshihiro Yamaguchi, Kiyotaka Tanikawa

Publication date: 8 November 2023

Published in: FORMA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.55653/forma.2023.001.003

zbMATH Keywords

two-dimensional mapanomalous rotation bifurcationordinary rotation bifurcation

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Universality and renormalization of dynamical systems (37E20) Dynamical aspects of twist maps (37E40)

Cites Work

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• A New Interpretation of the Symbolic Codes for the Henon Map
• Rigorous and formal stability of orbits about an oblate planet
• Numerical study of quadratic area-preserving mappings
• Symbolic Codes for Rotational Orbits

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