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Dynamics and Bifurcations

  • Textbook
  • © 1991

Overview

Authors:
  1. Jack K. Hale

    1. School of Mathematics, Georgia Institute of Technology, Atlanta, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Hüseyin Koçak

    1. Department of Mathematics and Computer Science, University of Miami, Coral Gables, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Texts in Applied Mathematics (TAM, volume 3)

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-xii
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  2. 1D

    1. Front Matter

      Pages 1-2
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    2. Scalar Autonomous Equations

      • Jack K. Hale, Hüseyin Koçak
      Pages 3-23

    3. Elementary Bifurcations

      • Jack K. Hale, Hüseyin Koçak
      Pages 25-65

    4. Scalar Maps

      • Jack K. Hale, Hüseyin Koçak
      Pages 67-104

  3. 1 1/2 D

    1. Front Matter

      Pages 105-106
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    2. Scalar Nonautonomous Equations

      • Jack K. Hale, Hüseyin Koçak
      Pages 107-132

    3. Bifurcations of Periodic Equations

      • Jack K. Hale, Hüseyin Koçak
      Pages 133-146

    4. On Tori and Circles

      • Jack K. Hale, Hüseyin Koçak
      Pages 147-166

  4. 2D

    1. Front Matter

      Pages 167-168
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    2. Planar Autonomous Systems

      • Jack K. Hale, Hüseyin Koçak
      Pages 169-215

    3. Linear Systems

      • Jack K. Hale, Hüseyin Koçak
      Pages 217-264

    4. Near Equilibria

      • Jack K. Hale, Hüseyin Koçak
      Pages 265-305

    5. In the Presence of a Zero Eigenvalue

      • Jack K. Hale, Hüseyin Koçak
      Pages 307-332

    6. In the Presence of Purely Imaginary Eigenvalues

      • Jack K. Hale, Hüseyin Koçak
      Pages 333-363

    7. Periodic Orbits

      • Jack K. Hale, Hüseyin Koçak
      Pages 365-388

    8. All Planar Things Considered

      • Jack K. Hale, Hüseyin Koçak
      Pages 389-411

    9. Conservative and Gradient Systems

      • Jack K. Hale, Hüseyin Koçak
      Pages 413-441

    10. Planar Maps

      • Jack K. Hale, Hüseyin Koçak
      Pages 443-494

  5. 2 1/2 + D

    1. Front Matter

      Pages 495-496
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Keywords

About this book

The subject of differential and difference equations is an old and much-honored chapter in science, one which germinated in applied fields such as celestial mechanics, nonlinear oscillations, and fluid dynamics. In recent years, due primarily to the proliferation of computers, dynamical systems has once more turned to its roots in applications with perhaps a more mature look. Many of the available books and expository narratives either require extensive mathematical preparation, or are not designed to be used as textbooks. The authors have filled this void with the present book.

Reviews

J.K. Hale, H. Kocak, and H. Buttanri

Dynamics and Bifurcations

"This book takes the reader step by step through the vast subject of dynamical systems. Proceeding from 1 to 2 dimensions and onto higher dimensions in separate self-contained sections, the text is mathematically rigorous yet devoid of excess formalism. A refreshing balance is further achieved by the use of many excellent illustrations and a wealth of worked and unworked examples."—MATHEMATIKA

Authors and Affiliations

  • School of Mathematics, Georgia Institute of Technology, Atlanta, USA

    Jack K. Hale

  • Department of Mathematics and Computer Science, University of Miami, Coral Gables, USA

    Hüseyin Koçak

Bibliographic Information

  • Book Title: Dynamics and Bifurcations

  • Authors: Jack K. Hale, Hüseyin Koçak

  • Series Title: Texts in Applied Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-4426-4

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1991

  • Hardcover ISBN: 978-0-387-97141-4Published: 06 December 1991

  • Softcover ISBN: 978-1-4612-8765-0Published: 19 November 2011

  • eBook ISBN: 978-1-4612-4426-4Published: 06 December 2012

  • Series ISSN: 0939-2475

  • Series E-ISSN: 2196-9949

  • Edition Number: 1

  • Number of Pages: XIV, 574

  • Topics: Analysis, Complex Systems, Statistical Physics and Dynamical Systems

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