Perturbations of elliptic billiards

DOI10.1016/S0167-2789(96)00061-9zbMath0890.58081OpenAlexW2125421722MaRDI QIDQ2563834

Héctor E. Lomelí

Publication date: 18 December 1996

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(96)00061-9

zbMATH Keywords

twist mapsaddle connectionanalytic perturbationselliptic billardtransversal heteroclinic connection

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (4)

Singular Separatrix Splitting and the Melnikov Method: An Experimental Study ⋮ Splitting of separatrices, scattering maps, and energy growth for a billiard inside a time-dependent symmetric domain close to an ellipse ⋮ Creating transverse homoclinic connections in planar billiards ⋮ Heteroclinic orbits and flux in a perturbed integrable Suris map

Cites Work

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• Variational computation of homoclinic orbits for twist maps
• Glancing billiards
• Elliptical billiards and Poncelet’s theorem
• Cantori for symplectic maps near the anti-integrable limit
• A Focusing Property of the Ellipse
• Poincaré - Melnikov - Arnold method for analytic planar maps

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