Periodic orbits with prescribed abbreviated action
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- by Miguel Paternain PDF
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Abstract:
We show that for every convex Lagrangian quadratic at infinity there is a real number $w_0$ such that for every $w>w_0$ the Lagrangian has a periodic orbit with abbreviated action $w$.References
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Additional Information
- Miguel Paternain
- Affiliation: Centro de Matemática, Facultad de Ciencias, Universidad de la República, Iguá 4225, 11400 Montevideo, Uruguay
- MR Author ID: 264813
- Email: miguel@cmat.edu.uy
- Received by editor(s): May 29, 2014
- Published electronically: March 18, 2015
- Additional Notes: The author was supported by an Anii grant
- Communicated by: Yingfei Yi
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 4001-4008
- MSC (2010): Primary 37JXX, 70HXX
- DOI: https://doi.org/10.1090/S0002-9939-2015-12597-X
- MathSciNet review: 3359588