On differential equations of integrable billiard tables (Q6139294)
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scientific article; zbMATH DE number 7790989
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On differential equations of integrable billiard tables |
scientific article; zbMATH DE number 7790989 |
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On differential equations of integrable billiard tables (English)
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18 January 2024
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In this paper a method is introduced to find sets of differential equations for functions which define billiard tables, such that the associated billiard system admits a local first integral. The derived method is illustrated in various examples reproducing for example billiards inside a conic section domain, associated to a first integral of degree one in the velocities. The paper is well written and all technical steps are explained in a clear manner. The reference list highlights some related works to this novel study.
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polynomial first integrals
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wire billiards
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piecewise smooth surfaces
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