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Chaotic time-dependent billiards

Alexander Loskutov and Alexei Ryabov

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 10 January 2025. URL : http://popups.lib.uliege.be/1373-5411/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