1997•Journal of Mathematical PhysicsRequires access

On integrable potential perturbations of the billiard system within an ellipsoid

Vladimir Il'ich Dragovic, Božidar Jovanović

Abstract

Generalizing Kozlov’s method of integrable potential perturbations for systems with three degrees of freedom, new integrable billiard systems within ellipsoid in R3 are constructed. Two countable families of the basic solutions in the class of the Laurent polynomials are obtained. Explicit formulas are given.

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Key concepts: Dynamical billiards, Integrable system, Mathematics, Ellipsoid, Countable set, Class (philosophy), Pure mathematics, Locally integrable function