Plateau of α-function and c-minimal homoclinic orbits |
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| Authors: | Li Xia and Cui Xiaojun |
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| Affiliation: | (1) Department of Mathematics, University of Science and Technology of Suzhou, Suzhou, 215009, China;(2) Mathematical Research Institute, Fudan University, Shanghai 200433, China |
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| Abstract: | We consider the construction of the plateau of the α-function in a hyperbolic and positive definite Lagrangian system, and link the boundries of the α-function’s plateau with the distribution of c-minimal homoclinic orbits to Aubry sets. |
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| Keywords: | α -function β -function plateau Aubry sets |
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