1# Library to Find Best eBook for Read
Author : Ludwig Arnold
Release : 1994
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Six Lectures on Random Dynamical Systems by : Ludwig Arnold
Download or read book Six Lectures on Random Dynamical Systems written by Ludwig Arnold. This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bernd Aulbach
Release : 1996-05-15
Genre : Mathematics
Kind : eBook
Book Rating : 420/5 ( reviews)
Book Synopsis Six Lectures On Dynamical Systems by : Bernd Aulbach
Download or read book Six Lectures On Dynamical Systems written by Bernd Aulbach. This book was released on 1996-05-15. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of six articles covering different facets of the mathematical theory of dynamical systems. The topics range from topological foundations through invariant manifolds, decoupling, perturbations and computations to control theory. All contributions are based on a sound mathematical analysis. Some of them provide detailed proofs while others are of a survey character. In any case, emphasis is put on motivation and guiding ideas. Many examples are included.The papers of this volume grew out of a tutorial workshop for graduate students in mathematics held at the University of Augsburg. Each of the contributions is self-contained and provides an in-depth insight into some topic of current interest in the mathematical theory of dynamical systems. The text is suitable for courses and seminars on a graduate student level.
Author : Ludwig Arnold
Release : 2013-04-17
Genre : Mathematics
Kind : eBook
Book Rating : 780/5 ( reviews)
Book Synopsis Random Dynamical Systems by : Ludwig Arnold
Download or read book Random Dynamical Systems written by Ludwig Arnold. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: The first systematic presentation of the theory of dynamical systems under the influence of randomness, this book includes products of random mappings as well as random and stochastic differential equations. The basic multiplicative ergodic theorem is presented, providing a random substitute for linear algebra. On its basis, many applications are detailed. Numerous instructive examples are treated analytically or numerically.
Author : Nguyen Dinh Cong
Release : 1997
Genre : Mathematics
Kind : eBook
Book Rating : 572/5 ( reviews)
Book Synopsis Topological Dynamics of Random Dynamical Systems by : Nguyen Dinh Cong
Download or read book Topological Dynamics of Random Dynamical Systems written by Nguyen Dinh Cong. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first systematic treatment of the theory of topological dynamics of random dynamical systems. A relatively new field, the theory of random dynamical systems unites and develops the classical deterministic theory of dynamical systems and probability theory, finding numerous applications in disciplines ranging from physics and biology to engineering, finance and economics. This book presents in detail the solutions to the most fundamental problems of topological dynamics: linearization of nonlinear smooth systems, classification, and structural stability of linear hyperbolic systems. Employing the tools and methods of algebraic ergodic theory, the theory presented in the book has surprisingly beautiful results showing the richness of random dynamical systems as well as giving a gentle generalization of the classical deterministic theory.
Author : Pei-Dong Liu
Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 917/5 ( reviews)
Book Synopsis Smooth Ergodic Theory of Random Dynamical Systems by : Pei-Dong Liu
Download or read book Smooth Ergodic Theory of Random Dynamical Systems written by Pei-Dong Liu. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt: This book studies ergodic-theoretic aspects of random dynam- ical systems, i.e. of deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of such systems, and can be viewed as an update of Kifer's book. An entropy formula of Pesin's type occupies the central part. The introduction of relation numbers (ch.2) is original and most methods involved in the book are canonical in dynamical systems or measure theory. The book is intended for people interested in noise-perturbed dynam- ical systems, and can pave the way to further study of the subject. Reasonable knowledge of differential geometry, measure theory, ergodic theory, dynamical systems and preferably random processes is assumed.
