Download e-book for kindle: Geometric Theory of Discrete Nonautonomous Dynamical Systems by Christian Pötzsche

By Christian Pötzsche

ISBN-10: 3642142575

ISBN-13: 9783642142574

Nonautonomous dynamical platforms offer a mathematical framework for temporally altering phenomena, the place the legislation of evolution varies in time as a result of seasonal, modulation, controlling or perhaps random results. Our objective is to supply an method of the corresponding geometric conception of nonautonomous discrete dynamical platforms in infinite-dimensional areas by way of advantage of 2-parameter semigroups (processes).
These dynamical structures are generated via implicit distinction equations, which explicitly depend upon time. Compactness and dissipativity stipulations are supplied for such difficulties which will have attractors utilizing the average suggestion of pullback convergence. referring to an important linear thought, our hyperbolicity suggestion is predicated on exponential dichotomies and splittings. this idea is in flip used to build nonautonomous invariant manifolds, so-called fiber bundles, and deduce linearization theorems.
The effects are illustrated utilizing temporal and entire discretizations of evolutionary differential equations.

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Geometric Theory of Discrete Nonautonomous Dynamical Systems (Lecture Notes in Mathematics) by Christian Pötzsche


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