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Titlebook: Hamiltonian Dynamical Systems and Applications; Walter Craig Conference proceedings 20081st edition Springer Science+Business Media B.V. 2

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The Physical Attractiveness Phenomenatablish the presence of these structures in a given near integrable systems or in systems for which good numerical information is available. We also discuss some quantitative features of the diffusion mechanisms such as time of diffusion, Hausdorff dimension of diffusing orbits, etc.
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Edmund Drauglis,Robert I. Jaffeeundergoes substantial variation. Variational method has been shown a powerful tool for the study of Arnold diffusion of Hamiltonian systems convex in actions. In variational language, it amounts to construct an orbit connecting two different Aubry sets. This is the main content of the lecture notes.
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https://doi.org/10.1007/978-1-349-81720-7 consider the problem in weighted Sobolev spaces, which comprise classical Sobolev spaces, Gevrey spaces, and analytic spaces. We show that the initial value problem is well posed in all spaces with subexponential growth of Fourier coefficients, and ‘almost well posed’ in spaces with exponential growth of Fourier coefficients.
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Variational methods for the problem of Arnold diffusion,undergoes substantial variation. Variational method has been shown a powerful tool for the study of Arnold diffusion of Hamiltonian systems convex in actions. In variational language, it amounts to construct an orbit connecting two different Aubry sets. This is the main content of the lecture notes.
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