A new integrable gravitational billiard

DOI10.1088/0305-4470/24/1/015zbMath0731.58036OpenAlexW1971937554MaRDI QIDQ3357143

No author found.

Publication date: 1991

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

Full work available at URL: https://semanticscholar.org/paper/4b0165e7979e89303063d97f1b19c526ba2940c0

zbMATH Keywords

stabilitybifurcationbilliardsperiodic points

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamics of a system of particles, including celestial mechanics (70F99) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Stability theory for smooth dynamical systems (37C75) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (9)

Universality in level spacing fluctuations of a chaotic optical billiard ⋮ Conformal transformations and integrable mechanical billiards ⋮ Circular, elliptic and oval billiards in a gravitational field ⋮ Caustics of Poncelet polygons and classical extremal polynomials ⋮ Dynamic modeling and simulation of a real world billiard ⋮ Computer-Assisted Methods for Analyzing Periodic Orbits in Vibrating Gravitational Billiards ⋮ Computational Study of the Dynamics of an Asymmetric Wedge Billiard ⋮ Integrability and pseudointegrability in billiards illustrated by the harmonic wedge. ⋮ Dynamics of a gravitational billiard with a hyperbolic lower boundary

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