FrançaisBilliard and rigid rotation
Multi angle
Authors : Treschev, Dmitry (Author of the conference)
CIRM (Publisher )
37D50 - Hyperbolic systems with singularities (billiards, etc.)
70H06 - Completely integrable systems and methods of integration
CIRM (Publisher )
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Abstract :
Can a billiard map be locally conjugated to a rigid rotation? We prove that the answer to this question is positive in the category of formal series. We also present numerical evidence that for "good" rotation angles the answer is also positive in an analytic category.
billiard systems # integrable Hamiltonian systems # normal form convergence # small divisors # elliptic fixed point # analytic conjugacy
MSC Codes : billiard systems # integrable Hamiltonian systems # normal form convergence # small divisors # elliptic fixed point # analytic conjugacy
37D50 - Hyperbolic systems with singularities (billiards, etc.)
70H06 - Completely integrable systems and methods of integration
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Information on the Video
Language : EnglishAvailable date : 20/01/14 Conference Date : 19/10/13 Series : Special events ; Lagrange Days arXiv category : Dynamical Systems ; Mathematical Physics Mathematical Area(s) : Dynamical Systems & ODE ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:48:25 Targeted Audience : Researchers ; Graduate Students Download : https://videos.cirm-math.fr/2013-10-19_Treschev.mp4 
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Information on the Event
Event Title : Lagrange Days / Journées LagrangeEvent Organizers : Benzoni-Gavage, Sylvie ; Jouve, Guillaume Dates : 18/10/13 - 19/10/13 Event Year : 2013 Event URL : http://math.univ-lyon1.fr/homes-www/benz...
Citation Data
DOI : 10.24350/CIRM.V.18447203Cite this video as: Treschev, Dmitry (2013). Billiard and rigid rotation. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18447203 URI : http://dx.doi.org/10.24350/CIRM.V.18447203 |
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