Add to ORKGWe consider a slowly rotating rectangular billiard with slowly moving borders. We use methods of the canonical perturbation theory to describe the dynamics of a billiard particle. In the process of slow evolution certain resonance conditions can be satisfied. We study the phenomena of scattering on a resonance and capture into a resonance. These phenomena lead to destruction of adiabatic invariance in the system. 2001 Elsevier Science B.V. All rights reserved
AbstractThe dynamics of a driven stadium-like billiard is considered using the formalism of discrete...
We study stochastic billiards on general tables: a particle moves according to its constant velocity...
We study a new problem of adiabatic invariance, namely a nonlinear oscillator with slowly moving cen...
Integrability of a square billiard is spontaneously broken as it rotates about one of its corners. T...
Some dynamical properties for an oval billiard with a scatterer in its interior are studied. The dyn...
The dynamics of a driven stadium-like billiard is considered using the formalism of discrete mapping...
We consider classical dynamical properties of a particle in a constant gravitational force and makin...
Mathematical billiard is a dynamical system studying the motion of a mass point inside a domain. The...
Some dynamical properties for a classical particle confined inside a closed region with an elliptica...
Abstract. A system of two masses connected with a weightless rod (called dumbbell in this paper) int...
Much recent interest has focused on “open ” dynamical systems, in which a classical map or flow is c...
In many problems of classical mechanics and theoretical physics dynamics can be described as a slow ...
A single particle within a periodically driven Sinai-billiard-like system is tracked experimentally ...
We consider a dissipative oval-like shaped billiard with a periodically moving boundary. The dissipa...
We study the thermal rectification phenomenon in billiard systems with interacting particles. This i...
AbstractThe dynamics of a driven stadium-like billiard is considered using the formalism of discrete...
We study stochastic billiards on general tables: a particle moves according to its constant velocity...
We study a new problem of adiabatic invariance, namely a nonlinear oscillator with slowly moving cen...
Integrability of a square billiard is spontaneously broken as it rotates about one of its corners. T...
Some dynamical properties for an oval billiard with a scatterer in its interior are studied. The dyn...
The dynamics of a driven stadium-like billiard is considered using the formalism of discrete mapping...
We consider classical dynamical properties of a particle in a constant gravitational force and makin...
Mathematical billiard is a dynamical system studying the motion of a mass point inside a domain. The...
Some dynamical properties for a classical particle confined inside a closed region with an elliptica...
Abstract. A system of two masses connected with a weightless rod (called dumbbell in this paper) int...
Much recent interest has focused on “open ” dynamical systems, in which a classical map or flow is c...
In many problems of classical mechanics and theoretical physics dynamics can be described as a slow ...
A single particle within a periodically driven Sinai-billiard-like system is tracked experimentally ...
We consider a dissipative oval-like shaped billiard with a periodically moving boundary. The dissipa...
We study the thermal rectification phenomenon in billiard systems with interacting particles. This i...
AbstractThe dynamics of a driven stadium-like billiard is considered using the formalism of discrete...
We study stochastic billiards on general tables: a particle moves according to its constant velocity...
We study a new problem of adiabatic invariance, namely a nonlinear oscillator with slowly moving cen...