Global periodic structure of integrable hyperbolic map

DOI10.1016/S0960-0779(02)00086-3zbMath1031.37019OpenAlexW2075270974MaRDI QIDQ1419098

D. Massart

Publication date: 14 January 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(02)00086-3

zbMATH Keywords

periodic orbitsglobal behaviorPoincaré-Birkhoff resonance conditionSinh map

Mathematics Subject Classification ID

Low-dimensional dynamical systems (37E99) Dynamical systems with hyperbolic behavior (37D99) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (2)

Integrable Duffing's maps and solutions of the Duffing equation ⋮ Global periodic structure of integrable Duffing's maps.

Cites Work

• Unnamed Item
• On integrable mappings of standard type
• Regular and chaotic dynamics.
• Integrable mappings and soliton equations
• Integrable mappings and soliton equations. II
• Discrete versions of the Painlevé equations
• Do integrable mappings have the Painlevé property?

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