Geometric Theory of Discrete Nonautonomous Dynamical Systems - download pdf or read online

By Christian Pötzsche

Nonautonomous dynamical structures supply a mathematical framework for temporally altering phenomena, the place the legislation of evolution varies in time because of seasonal, modulation, controlling or maybe random results. Our aim is to supply an method of the corresponding geometric conception of nonautonomous discrete dynamical structures in infinite-dimensional areas via advantage of 2-parameter semigroups (processes).
These dynamical structures are generated by way of implicit distinction equations, which explicitly depend upon time. Compactness and dissipativity stipulations are supplied for such difficulties which will have attractors utilizing the typical idea of pullback convergence. pertaining to an important linear thought, our hyperbolicity inspiration relies 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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Download e-book for kindle: Geometric Theory of Discrete Nonautonomous Dynamical Systems by Christian Pötzsche

Nonautonomous dynamical platforms supply a mathematical framework for temporally altering phenomena, the place the legislation of evolution varies in time because of seasonal, modulation, controlling or maybe random results. Our objective is to supply an method of the corresponding geometric idea of nonautonomous discrete dynamical platforms in infinite-dimensional areas by way of advantage of 2-parameter semigroups (processes).

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


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