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Titlebook: Dynamics Reported; Expositions in Dynam C. K. R. T. Jones,U. Kirchgraber,H. O. Walther Book 1995 Springer-Verlag Berlin Heidelberg 1995 Erg

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楼主: affront
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Verträgey differential equations. Roughly speaking, this theory is devoted to studying how the qualitative behavior (e.g. the asymptotic behavior) of solutions to certain initial value problems changes as the initial condition is varied. In order to make this more explicit, consider the autonomous different
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,The “Spectral” Decomposition for One-Dimensional Maps, maps without wandering intervals. The “spectral” decomposition for piecewise-monotone maps is deduced from the Decomposition Theorem. Finally we explain how to extend the results of the present paper for a continuous map of a one-dimensional branched manifold into itself.
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A Constructive Theory of Lagrangian Tori and Computer-assisted Applications,, under suitable smoothness assumptions, the survival under a small perturbation of “most” of the invariant maximal tori which foliate the phase-space of “integrable” conservative systems (see [B] for review and exhaustive references and [ChG] for recent developments).
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Linearization of Random Dynamical Systems, be said about the behavior of solutions of (1.1) starting in some small neighborhood of this point? Of course one is tempted to first study the linearized equation.near the origin, since it may be hoped that the nonlinear behavior of (1.1) near .. will be “basically” the same.
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Book 1995day, dynamical systems cover a much larger area, including dynamical processes described by functional and integral equations, by partial and stochastic differential equations, etc. Dynamical systems have involved remarkably in recent years. A wealth of new phenomena, new ideas and new techniques ar
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