Periodic orbits of Lagrangian systems with prescribed action or period-Reference-Cited by-同舟云学术

Periodic orbits of Lagrangian systems with prescribed action or period

Published:2016-01-26 Issue:7 Volume:144 Page:2999-3007
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Paternain Miguel

Abstract

We show that for every convex Lagrangian quadratic at infinity there is a real number a 0 a_0 such that for every a > a 0 a>a_0 the Lagrangian has a periodic orbit with action a a . We attain estimates on the period and energy of the periodic orbits obtained. We also show that such a Lagrangian has periodic orbits of every period.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2016-144-07/S0002-9939-2016-12950-X/S0002-9939-2016-12950-X.pdf

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