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Dimension Theory in Dynamical Systems: Contemporary Views and Applications

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Dimension Theory in Dynamical Systems: Contemporary Views and Applications Cover

 

Synopses & Reviews

Publisher Comments:

The principles of symmetry and self-similarity structure nature's most beautiful creations. For example, they are expressed in fractals, famous for their beautiful but complicated geometric structure, which is the subject of study in dimension theory. And in dynamics the presence of invariant fractals often results in unstable "turbulent-like" motions and is associated with "chaotic" behavior. In this book, Yakov Pesin introduces a new area of research that has recently appeared in the interface between dimension theory and the theory of dynamical systems. Focusing on invariant fractals and their influence on stochastic properties of systems, Pesin provides a comprehensive and systematic treatment of modern dimension theory in dynamical systems, summarizes the current state of research, and describes the most important accomplishments of this field. Pesin's synthesis of these subjects of broad current research interest will be appreciated both by advanced mathematicians and by a wide range of scientists who depend upon mathematical modeling of dynamical processes.

About the Author

Yakov B. Pesin is professor of mathematics at Pennsylvania State University, University Park. He is the author of The General Theory of Smooth Hyperbolic Dynamical Systems and co-editor of Sinai's Moscow Seminar on Dynamical Systems.

Table of Contents

Preface

Introduction

Part I: Carath

Product Details

ISBN:
9780226662237
Subtitle:
Contemporary Views and Applications
Publisher:
University of Chicago Press
Author:
Ya. B. Pesin
Author:
Pesin, Ya B.
Subject:
Differentiable dynamical systems
Subject:
Dimensional analysis
Subject:
Topology - Fractals
Subject:
Dimension theory (Topology)
Subject:
General Mathematics
Subject:
Topology - General
Subject:
MATHEMATICS / Topology
Subject:
Mathematics - General
Subject:
main_subject
Subject:
all_subjects
Publication Date:
19971208
Binding:
ELECTRONIC
Language:
English
Pages:
304

Related Subjects

Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Topology
Science and Mathematics » Physics » General

Dimension Theory in Dynamical Systems: Contemporary Views and Applications
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Product details 304 pages University of Chicago Press - English 9780226662237 Reviews:
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