Survey Of Nonlinear Dynamics ("Chaos Theory")
eBook - PDF

Survey Of Nonlinear Dynamics ("Chaos Theory")

  1. 118 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Survey Of Nonlinear Dynamics ("Chaos Theory")

Book details
Table of contents
Citations

About This Book

This book is intended to give a survey of the whole field of nonlinear dynamics (or "chaos theory") in compressed form. It covers quite a range of topics besides the standard ones, for example, pde dynamics and Galerkin approximations, critical phenomena and renormalization group approach to critical exponents. The many meanings or measures of "chaos" in the literature are summarized. A precise definition of chaos based on a carefully limited sensitive dependence is offered. An application to quantum chaos is made. The treatment does not emphasize mathematical rigor but insists that the crucial concepts and theorems be mathematically well-defined. Thus topology plays a basic role. This alone makes this book unique among short surveys, where the inquisitive reader must usually be satisfied with colorful similes, analogies, and hand-waving arguments.Richard Ingraham graduated with B.S. summa cum laude in mathematics from Harvard college and with M.A. and Ph.D in Physics from Harvard Graduate School. He was granted the Sheldon Prize Traveling Fellowship by Harvard College and was a member of the Institute for Advanced Study at Princeton for two years.

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Yes, you can access Survey Of Nonlinear Dynamics ("Chaos Theory") by Richard L Ingraham in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Chaotic Behavior in Systems. We have over one million books available in our catalogue for you to explore.

Information

Publisher
World Scientific
Year
1991
ISBN
9789814360111
Topic
Physical Sciences
Subtopic
Chaotic Behavior in Systems

Table of contents

  1. CONTENTS
  2. PREFACE
  3. 1. INTRODUCTORY REMARKS
  4. 2. FUNDAMENTALS OF CONTINUOUS TIME SYSTEMS
  5. 3. DISCRETE TIME SYSTEMS: ITERATION OF MAPS
  6. 4. HAMILTONIAN SYSTEMS
  7. 5. MEASURES OF CHAOS
  8. 6. RENORMALIZATION GROUP
  9. 7. PARTIAL DIFFERENTIAL EQUATIONS
  10. 8. EXPERIMENTAL REALIZATIONS OF NONLINEAR DYNAMICS
  11. REFERENCES
  12. APPENDIX A GENERAL LINEAR STABILITY ANALYSIS
  13. APPENDIX B PROOF OF NO SENSITIVE DEPENDENCE IN THE QUANTUM-MECHANICAL SELF-CORRELATION
  14. GLOSSARY OF PRINCIPAL TERMS
  15. INDEX