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- W2351982128 abstract "The existence of a homoclinic orbits is usually the first step in studying non-integrability and complicated behavior of a dynamical system. Especially, the study of minimal homoclinic orbits is considered to be helpful to the study of Arnold diffusion. Generally,the resonant tori of an integrable Hamilton system are destroyed by a perturbation. If the Hamiltonian is convex,it gives rise to a lower-dimensional invariant tori or to an Aubry invariant set. Bolotin has proved the existence of homoclinic orbits to the tori and Bermard has proved the existence of homoclinic orbits to the Aubry invariant sets, but all of these aren't minimal. In this thesis, the author gets some results about the Plateau of α-Function in Simple pendulum System,and builds the relationship between the topological construction of the plateau with its Aubry sets. To pendulum System,the Aubry sets corresponding to the boundaries of α-function's plateau are the minimal bomoclinic orbits to the Aubry sets corresponding to the interior, which will be helpful in solving the related problems about minimal homoclinic orbits." @default.
- W2351982128 created "2016-06-24" @default.
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- W2351982128 date "2005-01-01" @default.
- W2351982128 modified "2023-09-25" @default.
- W2351982128 title "Plateau of α-Function in Simple Pendulum System" @default.
- W2351982128 hasPublicationYear "2005" @default.
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