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On the multiplicity
of non-iterated periodic billiard trajectories
Marco Mazzucchelli |
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Vol. 252 (2011), No. 1, 181–205
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Abstract |
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We introduce an iteration theory for periodic billiard trajectories in a compact and convex domain of the Euclidean space, and we apply it to establish a multiplicity result for non-iterated trajectories. |
Keywords
billiards, Morse theory, iteration of periodic trajectories
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Mathematical Subject Classification 2010
Primary: 37J45, 55R80
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Milestones
Received: 28 October 2010
Revised: 19 January 2011
Accepted: 20 January 2011
Published: 8 October 2011
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Authors |
| Marco Mazzucchelli | |
| Department of Mathematics Penn State University University Park, PA 16802 United States |
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| http://www.math.psu.edu/mazzucchel | |
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