Stability of periodic orbits in no-slip billiards

DOI10.1088/1361-6544/AACC43zbMath1396.37045arXiv1612.03355OpenAlexW2580404423MaRDI QIDQ4583367

Christopher Cox, Renato Feres, Hong-Kun Zhang

Publication date: 28 August 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.03355

zbMATH Keywords

chaosorbit stabilityno-slip billiardrigid body collision

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Dynamics of multibody systems (70E55) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (3)

Rolling and no-slip bouncing in cylinders ⋮ Ehrenfests' wind-tree model is dynamically richer than the Lorentz gas ⋮ Rolling systems and their billiard limits

Cites Work

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• Differential geometry of rigid bodies collisions and non-standard billiards
• Reversible systems
• The dynamics of billiards with no-slip collisions
• The system of two spinning disks in the torus
• Transport properties of a modified Lorentz gas
• Lower-dimensional tori in reversible systems
• No-slip billiards in dimension two

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