Dynamical Systems and Linear Algebra (Graduate Studies in Mathematics) - Tapa dura

Libro 130 de 190: Graduate Studies in Mathematics

Colonius, Fritz; Kliemann, Wolfgang

 
9780821883198: Dynamical Systems and Linear Algebra (Graduate Studies in Mathematics)
Tapa dura
ISBN 10: 0821883194 ISBN 13: 9780821883198
Editorial: American Mathematical Society, 2014

Sinopsis

This book provides an introduction to the interplay between linear algebra and dynamical systems in continuous time and in discrete time. It first reviews the autonomous case for one matrix A via induced dynamical systems in {R}^d and on Grassmannian manifolds. Then the main nonautonomous approaches are presented for which the time dependency of A(t) is given via skew-product flows using periodicity, or topological (chain recurrence) or ergodic properties (invariant measures). The authors develop generalizations of (real parts of) eigenvalues and eigenspaces as a starting point for a linear algebra for classes of time-varying linear systems, namely periodic, random, and perturbed (or controlled) systems.

The book presents for the first time in one volume a unified approach via Lyapunov exponents to detailed proofs of Floquet theory, of the properties of the Morse spectrum, and of the multiplicative ergodic theorem for products of random matrices. The main tools, chain recurrence and Morse decompositions, as well as classical ergodic theory are introduced in a way that makes the entire material accessible for beginning graduate students.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Fritz Colonius, Universitat Augsburg, Germany.

Wolfgang Kliemann, Iowa State University, Ames, IA, USA.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
2014
Idioma
Inglés
ISBN 10 
0821883194
ISBN 13 
9780821883198
Encuadernación
Tapa dura
Número de páginas
291
Contacto del fabricante
no disponible
Persona responsable
no disponible