Numerical study of a billiard in a gravitational field

DOI10.1016/0167-2789(86)90080-1zbMath0607.70011OpenAlexW2014887940MaRDI QIDQ1085641

H. E. Lehtihet, Bruce N. Miller

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90080-1

zbMATH Keywords

two degrees of freedomexpansionHamiltonian systemsphase spacediscontinuityLyapunov numbersBilliardschaotic regionsK-system behaviornear-integrable regionsone-dimensional self-gravitating systemsymmetric wedgewedge vertex

Mathematics Subject Classification ID

Three-body problems (70F07) Bifurcations and instability for nonlinear problems in mechanics (70K50) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Collision of rigid or pseudo-rigid bodies (70F35)

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Cites Work

• The Benettin-Strelcyn oval billiard revisited
• Pseudointegrable systems in classical and quantum mechanics
• Universal behaviour in families of area-preserving maps
• Numerical study of billiard motion in an annulus bounded by non-concentric circles
• Power-law behavior of Lyapunov exponents in some conservative dynamical systems
• Topological transitivity of billiards in polygons
• Unnamed Item