Dynamics near an isolated \(\tilde M\)-semi-static homoclinic orbit (Q2470481)
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| Language | Label | Description | Also known as |
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| English | Dynamics near an isolated \(\tilde M\)-semi-static homoclinic orbit |
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Dynamics near an isolated \(\tilde M\)-semi-static homoclinic orbit (English)
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14 February 2008
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In a previous paper [J. Math. Anal. Appl. 331, No. 2, 947--957 (2007), \textit{X. Cui} and the author showed that there are infinitely many homoclinic orbits in any neighborhood of an isolated \(\widetilde M\)-semi-static homoclinic orbit to an Aubry set for the time-periodic positive definite Lagrangian systems. In the present paper, the author shows that there are also infinitely periodic orbits.
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periodic orbit
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homoclinic orbit
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aubry set
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