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Introduction to Applied Nonlinear Dynamical Systems and Chaos

  • Stephen Wiggins

Part of the Texts in Applied Mathematics book series (TAM, volume 2)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Stephen Wiggins
    Pages 1-4
  3. Stephen Wiggins
    Pages 193-252
  4. Stephen Wiggins
    Pages 253-419
  5. Stephen Wiggins
    Pages 420-650
  6. Back Matter
    Pages 651-672

About this book

Introduction

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas­ sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM) . The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathe­ matical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface This textbook was developed from material presented in a year-long, grad­ uate-level course in nonlinear dynamics that I taught at Caltech over the past five years. It contains the basic techniques and results I believe to be necessary for graduate students to begin research in the field.

Keywords

dynamical systems mathematics nonlinear dynamics

Authors and affiliations

  • Stephen Wiggins
    • 1
  1. 1.Department of Applied MechanicsCalifornia Institute of TechnologyPasadenaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-4067-7
  • Copyright Information Springer-Verlag New York 1990
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4757-4069-1
  • Online ISBN 978-1-4757-4067-7
  • Series Print ISSN 0939-2475
  • Buy this book on publisher's site