Birkhoff normal form and twist coefficients of periodic orbits of billiards*

DOI10.1088/1361-6544/ac7701OpenAlexW3198097944MaRDI QIDQ5089470

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Publication date: 19 July 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.12098

zbMATH Keywords

billiardsBirkhoff normal formnonlinear stabilitytwist coefficients

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Stability theory for smooth dynamical systems (37C75) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Dynamical aspects of twist maps (37E40) Dynamical systems with singularities (billiards, etc.) (37C83)

Related Items (2)

Homoclinic and heteroclinic intersections for lemon billiards ⋮ Symmetric periodic orbits in symmetric billiards

Cites Work

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• Generic Bifurcation of Periodic Points
• Generic Stability Properties of Periodic Points
• The First Birkhoff Coefficient and the Stability of 2-Periodic Orbits on Billiards
• Elliptic islands on the elliptical stadium

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