Linear stability in billiards with potential

DOI10.1088/0951-7715/11/1/010zbMath0896.58029arXivchao-dyn/9612023OpenAlexW3098440245MaRDI QIDQ4381850

Holger R. Dullin

Publication date: 11 October 1998

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9612023

zbMATH Keywords

periodic orbitslinear stabilitylinearized Poincaré mapbilliards with potential

Mathematics Subject Classification ID

Topological dynamics (37B99) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (11)

ELLIPSOIDAL BILLIARDS WITH ISOTROPIC HARMONIC POTENTIALS ⋮ Fermi acceleration in rotating drums ⋮ On Near Integrability of Some Impact Systems ⋮ Conservative generalized bifurcation diagrams and phase space properties for oval-like billiards ⋮ Dynamics of classical particles in oval or elliptic billiards with a dispersing mechanism ⋮ Universality in level spacing fluctuations of a chaotic optical billiard ⋮ Non-uniform ergodic properties of Hamiltonian flows with impacts ⋮ Circular, elliptic and oval billiards in a gravitational field ⋮ Phase-space volume of regions of trapped motion: Multiple ring components and arcs ⋮ On the structure of Hamiltonian impact systems ⋮ Generic occurrence of rings in rotating systems

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