For more information about this meeting, contact Anatole Katok.
| Title: | On the multiplicity of periodic orbits for Tonelli systems |
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| Seminar: | Center for Dynamics and Geometry Seminar |
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| Speaker: | Marco Mazzucchelli, Penn State |
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| Abstract: |
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| In this talk I shall sketch a proof of the following result: on a closed configuration space M, the Euler-Lagrange system associated to any time-periodic Tonelli Lagrangian function L : R/Z×TM → R admits infinitely many periodic solutions. More precisely, I will show that there are infinitely many contractible periodic orbits with a priori bounded mean action and either infinitely many of them are 1-periodic or their basic period is unbounded. The proof is based on topological methods from critical point theory. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 11 / 14 / 2011 |
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| Time: | 03:35pm - 05:30pm |
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