Last edited by Tygogal
Friday, May 15, 2020 | History

11 edition of Topological theory of dynamical systems found in the catalog.

Topological theory of dynamical systems

recent advances

by Nobuo Aoki

  • 183 Want to read
  • 10 Currently reading

Published by North-Holland in Amsterdam, New York .
Written in English

    Subjects:
  • Differentiable dynamical systems.,
  • Topological dynamics.

  • Edition Notes

    Includes bibliographical references (p. 402-410) and index.

    StatementN. Aoki, K. Hiraide.
    SeriesNorth-Holland mathematical library ;, v. 52
    ContributionsHiraide, K.
    Classifications
    LC ClassificationsQA614.8 .A52 1994
    The Physical Object
    Paginationviii, 416 p. :
    Number of Pages416
    ID Numbers
    Open LibraryOL1087671M
    ISBN 100444899170
    LC Control Number94011678

    This book is an essentially self contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. Parts of the book are suitable for a final year undergraduate course or for a masters level course.5/5(1). [Smi07] nicely embeds the modern theory of nonlinear dynamical systems into the general socio-cultural context. It also provides a very nice popular science introduction to basic concepts of dynamical systems theory, which to some extent relates to the path we will follow in this course.

    There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. This book is essentially a self-contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular by:

      This book collects these results, both old and new, and organizes them into a natural foundation for all aspects of dynamical systems theory. No existing book is comparable in content or scope. Requiring background in point-set topology and some degree of “mathematical sophistication”, Akin's book serves as an excellent textbook for a. Surjunctivity and topological rigidity of algebraic dynamical systems - Volume 39 Issue 3 - SIDDHARTHA BHATTACHARYA, TULLIO CECCHERINI-SILBERSTEIN, MICHEL COORNAERTCited by: 3.


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Topological theory of dynamical systems by Nobuo Aoki Download PDF EPUB FB2

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 s: K. Hiraide, N. Aoki. 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 by: Topological Dimension and Dynamical Systems is intended for graduate students, as well as researchers interested in topology and dynamical systems.

Some of the topics treated in the book directly lead to research areas that remain to be explored. This book contains a new theory developed by the authors to deal with problems occurring Topological theory of dynamical systems book 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 : Search in this book series. Topological Theory of Dynamical Systems Recent Advances.

Edited by N. Aoki, K. Hiraide. Vol Pages ii-vi, () Download full volume. Previous volume. Next volume. Actions for selected chapters. Select all / Deselect all. Download PDFs Export citations. Provides an advanced account of some aspects of dynamical systems in the framework of general topology.

This book contains a theory developed by the authors to deal with problems occurring in differentiable dynamics that are within the scope of general topology. It also provides an adequate foundation for topological theory of dynamical systems.

The symposium provided a forum for reviewing the theory of dynamical systems in relation to ordinary and functional differential equations, as well as the influence of this approach and the techniques of ordinary differential equations on research concerning certain types of partial differential equations and evolutionary equations in general.

The theory of dynamical systems is a broad and active research subject with connections to most parts of mathematics. Dynamical Systems: An Introduction undertakes the difficult task to provide a self-contained and compact introduction.

Topics covered include topological, low-dimensional, hyperbolic and symbolic dynamics, as well as a brief introduction to ergodic theory. There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic.

This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students.

The prerequisites for. This book is an introduction into the theory of discrete dynamical systems with emphasis on the topological background. It is addressed primarily to graduate students.

The prerequisites for understanding this book are modest: a certain mathematical maturity and a course in General Topology are sufficient. This book is devoted to the theory of topological dynamics of random dynamical systems. The theory of random dynamical systems is a relatively new and fast expanding field which attracts the attention of researchers from various fields of science.

It unites and develops the classical deterministic theory of dynamical systems and probability theory, finding numerous. This book comprises a collection of problems for students at the graduate/upper graduate level.

It covers a variety of selected topics; in addition to the basic theory, topics include topological, low-dimensional, hyperbolic and symbolic dynamics, and basic ergodic : Springer International Publishing.

Introduction to Topological Dynamical Systems I. Author: This book is intended as a survey article on new types of transitivity and chaoticity of a topological dynamical system given by a continuous self-map of a locally compact Hausdorff space.

results on the topic, but, on the other hand, it covers some of the recent developments of. Dynamical systems theory is an area of mathematics used to describe the behavior of the complex dynamical systems, usually by employing differential equations or difference differential equations are employed, the theory is called continuous dynamical a physical point of view, continuous dynamical systems is a generalization of.

The term "topological dynamical system" (usually without the first adjective) belongs to topological dynamics, while in topology the same object is called a continuous transformation group. The different terminologies are partly due to the fact that the two disciplines study different properties of the object, and impose different restrictions.

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.

Translated from the popular French edition, the goal of the book is to provide a self-contained introduction to mean topological dimension, an invariant of dynamical systems introduced in by Misha Gromov. The book examines how this invariant was successfully used by Elon Lindenstrauss and Benjamin Weiss to answer a long-standing open question.

This book is a comprehensive overview of modern dynamical systems that covers the major areas. The authors begin with an overview of the main areas of dynamics: ergodic theory, where the emphasis is on measure and information theory; topological dynamics, where the phase space is a topological space and the "flows" are continuous transformations on Pages: Based on his PhD.

Dissertation, the author has completed this book entitled Introduction to Topological Dynamical Systems I. To continue the research. Topological dynamics of random dynamical systems is the first book to deal with the theory of topological dynamics of random dynamical systems.

It 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 Author: Nguyen Dinh Cong.

On one hand this may relate to the fact that branches in both physics and economics evolve around models of dynamical systems in which the control-theoretic concept of a .By a topological dynamical system, we mean a pair X T, where X is a compact metric space with a metric d and T is a continuous surjective map from X to itself [].An important notion for understanding the complexity of dynamical systems is topological entropy, which was first introduced by Adler et al.

[] inand later Dinaburg [] and Bowen [] gave two equivalent Author: Kesong Yan, Fanping Zeng.The integration of geometric theory, topological theory, and concrete applications to dynamical systems set this book apart. With clean, clear prose and effective examples, the authors' intuitive approach creates a treatment that is comprehensible to relative beginners, yet rigorous enough for those with more background and experience in the field.