Integrable perturbations of a Birkhoff billiard inside an ellipse (Q2714650)
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scientific article; zbMATH DE number 1607066
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integrable perturbations of a Birkhoff billiard inside an ellipse |
scientific article; zbMATH DE number 1607066 |
Statements
20 June 2001
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Birkhoff billiard
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integrable perturbations
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elliptic billiard
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potential force
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integrable potentials
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polynomials
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generalized coordinates
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Integrable perturbations of a Birkhoff billiard inside an ellipse (English)
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The author examines the integrability of equations of motion of a particle inside an ellipse under potential force. It is assumed that on the boundary the particle motion is subjected to billiard law. The author describes a class of integrable potentials which are polynomials in \(x\), \(y\), \(x^{-1}\) and \(y^{-1}\), where \(x\) and \(y\) are generalized coordinates.
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