Topological Theory of Dynamical Systems
Topological Theory of Dynamical Systems

Author: N. Aoki

Publisher: Elsevier

Published: 1994-06-03

Total Pages: 425

ISBN-13: 008088721X

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This monograph aims to provide an advanced account of some aspects of dynamical systems in the framework of general topology, and is intended for use by interested graduate students and working mathematicians. Although some of the topics discussed are relatively new, others are not: this book is not a collection of research papers, but a textbook to present recent developments of the theory that could be the foundations for future developments. This book contains a new theory developed by the authors to deal with problems occurring in diffentiable dynamics that are within the scope of general topology. To follow it, the book provides an adequate foundation for topological theory of dynamical systems, and contains tools which are sufficiently powerful throughout the book. Graduate students (and some undergraduates) with sufficient knowledge of basic general topology, basic topological dynamics, and basic algebraic topology will find little difficulty in reading this book.

Recent Advances in Topological Ferroics and their Dynamics
Recent Advances in Topological Ferroics and their Dynamics

Author: Robert L. Stamps

Publisher: Academic Press

Published: 2019-10-18

Total Pages: 302

ISBN-13: 0081029217

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Recent Advances in Topological Ferroics and Their Dynamics, Volume 70 in the Solid State Physics series, provides the latest information on the branch of physics that is primarily devoted to the study of matter in its solid phase, especially at the atomic level. This prestigious serial presents timely and state-of-the-art reviews pertaining to all aspects of solid state physics. Contains contributions from leading authorities in the study of solid state physics, especially at the atomic level Informs and updates on all the latest developments in the field Presents timely, state-of-the-art reviews pertaining to all aspects of solid state physics

Topological Dynamics of Random Dynamical Systems
Topological Dynamics of Random Dynamical Systems

Author: Nguyen Dinh Cong

Publisher: Oxford University Press

Published: 1997

Total Pages: 216

ISBN-13: 9780198501572

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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.