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Open Access Research Article Issue
Heteroclinic orbits between static classes of time periodic Tonelli Lagrangian systems
Guowei Yu
Electronic Research Archive 2022, 30(6): 2283-2302
Published: 15 June 2022
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In this paper, we show the existence of heteroclinic orbits between two different static classes of the Aubry set of a Tonelli Lagrangian when the Aubry set has only finite static classes (which is a generic condition in the sense of Mañé) and the Mañé set satisfies certain isolated condition.

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