Titlebook: Hamiltonian Dynamical Systems; History, Theory, and H. S. Dumas,K. S. Meyer,D. S. Schmidt Conference proceedings 1995 Springer-Verlag New Y

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A New Proof of Anosov’s Averaging Theorem[6]. Our result comprises both a new proof, as well as a generalization, of D.V. Anosov’s general multiphase averaging theorem [1] for systems of ODEs with slow variables evolving in .. and fast variables evolving on a smooth compact immersed manifold. We extend Anosov’s work by allowing the fast va

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Bifurcations in the Generalized van der Waals Interaction: The Polar Case (, = 0)der Waals interaction for . = 0, whose orbit manifold is a 2-dimensional sphere. Complementing the work of Alhassid .. and Ganesan and Lakshmanan, we show that the global flow is characterized by three parametric bifurcations of butterfly type corresponding to the dynamical symmetries of the problem

調(diào)色板

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Linearized Dynamics of Symmetric Lagrangian Systems and bifurcation behavior tractable even for moderately large systems. The variational characterization of relative equilibria, i.e. steady motions generated by elements of the symmetry group, greatly simplifies many of the necessary calculations. Local minima modulo symmetries of an appropriate ene

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小爭(zhēng)吵

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Non-Canonical Transformations of Nonlinear Hamiltoniansion is used to eliminate terms from the perturbation that are not of the same form as those in the main part, or even to eliminate the perturbation entirely. The system is thus transformed into a modified version of the principal part. In conjunction with a time transformation which recovers the dyn

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