Abstract:
We derive equations for invariant distributions of billiards as invertible (measure-preserving) dynamic systems in a symmetric phase space and find their solutions. We introduce and investigate invariant measures for the complete and contracted descriptions and establish the relation between them.
Citation:
S. V. Naydenov, V. V. Yanovskii, “Invariant Distributions in Systems with Elastic Reflections”, TMF, 130:2 (2002), 301–319; Theoret. and Math. Phys., 130:2 (2002), 256–270
This publication is cited in the following 2 articles:
Bolotin, YL, “The world of chaos”, Problems of Atomic Science and Technology, 2007, no. 3, 255
Naydenov, SV, “Polymorphous billiard as a new type of billiards with chaotic ray dynamics”, Problems of Atomic Science and Technology, 2007, no. 3, 285