Geometric Theory of Discrete Nonautonomous Dynamical Systems [recurso electrónico] / by Christian Pötzsche.

Por: Pötzsche, Christian [author.]Colaborador(es): SpringerLink (Online service)Tipo de material: Texto

TextoSeries Lecture Notes in Mathematics ; 2002Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010Descripción: XXIV, 399p. 17 illus., 2 illus. in color. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642142581Tema(s): Mathematics | Differentiable dynamical systems | Mathematics | Dynamical Systems and Ergodic TheoryFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 515.39 | 515.48 Clasificación LoC:QA313Recursos en línea: Libro electrónico Texto

Contenidos:

Nonautonomous Dynamical Systems -- Nonautonomous Difference Equations -- Linear Difference Equations -- Invariant Fiber Bundles -- Linearization.

En: Springer eBooksResumen: Nonautonomous dynamical systems provide a mathematical framework for temporally changing phenomena, where the law of evolution varies in time due to seasonal, modulation, controlling or even random effects. Our goal is to provide an approach to the corresponding geometric theory of nonautonomous discrete dynamical systems in infinite-dimensional spaces by virtue of 2-parameter semigroups (processes). These dynamical systems are generated by implicit difference equations, which explicitly depend on time. Compactness and dissipativity conditions are provided for such problems in order to have attractors using the natural concept of pullback convergence. Concerning a necessary linear theory, our hyperbolicity concept is based on exponential dichotomies and splittings. This concept is in turn used to construct nonautonomous invariant manifolds, so-called fiber bundles, and deduce linearization theorems. The results are illustrated using temporal and full discretizations of evolutionary differential equations.

Existencias ( 1 )
Notas de título ( 3 )

Existencias
Tipo de ítem	Biblioteca actual	Colección	Signatura	Copia número	Estado	Fecha de vencimiento	Código de barras
Libro Electrónico	Biblioteca Electrónica	Colección de Libros Electrónicos	QA313 (Browse shelf(Abre debajo))	1	No para préstamo		374712-2001

Nonautonomous Dynamical Systems -- Nonautonomous Difference Equations -- Linear Difference Equations -- Invariant Fiber Bundles -- Linearization.

Nonautonomous dynamical systems provide a mathematical framework for temporally changing phenomena, where the law of evolution varies in time due to seasonal, modulation, controlling or even random effects. Our goal is to provide an approach to the corresponding geometric theory of nonautonomous discrete dynamical systems in infinite-dimensional spaces by virtue of 2-parameter semigroups (processes). These dynamical systems are generated by implicit difference equations, which explicitly depend on time. Compactness and dissipativity conditions are provided for such problems in order to have attractors using the natural concept of pullback convergence. Concerning a necessary linear theory, our hyperbolicity concept is based on exponential dichotomies and splittings. This concept is in turn used to construct nonautonomous invariant manifolds, so-called fiber bundles, and deduce linearization theorems. The results are illustrated using temporal and full discretizations of evolutionary differential equations.