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Chaotic time-dependent billiards

p. 336-354

Abstract

A billiard in the form of a stadium with periodically perturbed boundary is considered. Two types of such billiards are studied : stadium with strong chaotic properties and a near-rectangle billiard. Phase portraits of such billiards are investigated. In the phase plane areas corresponding to decrease and increase of the velocity of billiard particles are found. Average velocities of the particle ensemble as functions of the number of collisions are obtained.

Index

Keywords

chaos, billiards, phase portraits

Text

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References

Bibliographical reference

Alexander Loskutov and Alexei Ryabov, « Chaotic time-dependent billiards », CASYS, 8 | 2001, 336-354.

Electronic reference

Alexander Loskutov and Alexei Ryabov, « Chaotic time-dependent billiards », CASYS [Online], 8 | 2001, Online since 12 July 2024, connection on 27 December 2024. URL : http://popups.uliege.be/3041-539x/index.php?id=1477

Authors

Alexander Loskutov

Physics Faculty, Moscow State University, Moscow 119899, Russia

Alexei Ryabov

Physics Faculty, Moscow State University, Moscow 119899, Russia

Copyright

CC BY-SA 4.0 Deed