Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613588 | Journal of Differential Equations | 2006 | 20 Pages |
Abstract
In this paper we study the properties of the periodic orbits of with x∈S1 and a T0 periodic potential. Called the frequency of windings of an orbit in S1 we show that exists an infinite number of periodic solutions with a given ρ. We give a lower bound on the number of periodic orbits with a given period and ρ by means of the Morse theory.
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Physical Sciences and Engineering
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Analysis