Differential geometry of rigid bodies collisions and non-standard billiards

DOI10.3934/dcds.2016065zbMath1352.37107arXiv1501.06536OpenAlexW2964134609MaRDI QIDQ325226

Renato Feres, Christopher Cox

Publication date: 18 October 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.06536

zbMATH Keywords

impulsebilliard dynamicsgeneralized non-holonomic constraintsno-slip billiardsrigid body collisions

Mathematics Subject Classification ID

Related Items (5)

Rolling and no-slip bouncing in cylinders ⋮ Stability of periodic orbits in no-slip billiards ⋮ Billiard in a rotating half-plane ⋮ Rolling systems and their billiard limits ⋮ No-slip billiards in dimension two

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The dynamics of billiards with no-slip collisions
• The system of two spinning disks in the torus
• Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Geometric formulation of Carnot's theorem
• Mechanical systems subjected to generalized non-holonomic constraints
• Random billiards with wall temperature and associated Markov chains
• A new classification of non-holonomic constraints
• Geometric formulation of mechanical systems with one-sided constraints
• Hamiltonian theory of constrained impulsive motion
• No-slip billiards in dimension two

This page was built for publication: Differential geometry of rigid bodies collisions and non-standard billiards