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Bifurcation and Chaos

Theory and Applications

  • Book
  • © 1995

Overview

Editors:
  1. Jan Awrejcewicz

    1. Division of Dynamics and Control (K-13), Technical University of Łódź, Łódź, Poland

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Part of the book series: Springer Series in Nonlinear Dynamics (SSNONLINEAR)

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-XII
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  2. Introduction

    • Jan Awrejcewicz
    Pages 1-7

  3. Quantum Chaos and Ergodic Theory

    • B. Y. Chirikov
    Pages 9-16

  4. On the Complete Characterization of Chaotic Attractors

    • R. Stoop
    Pages 17-45

  5. New Numerical Methods for High Dimensional Hopf Bifurcation Problems

    • J. Wu, K. Zhou
    Pages 47-69

  6. Catastrophe Theory and the Vibro-impact Dynamics of Autonomous Oscillators

    • G. S. Whiston
    Pages 71-95

  7. Codimension Two Bifurcation and Its Computational Algorithm

    • H. Kawakami, T. Yoshinaga
    Pages 97-132

  8. Chaos and Its Associated Oscillations in Josephson Circuits

    • M. Morisue, A. Kanasugi
    Pages 133-152

  9. Chaos in Systems with Magnetic Force

    • J. Tani
    Pages 153-190

  10. Bifurcation and Chaos in the Helmholtz-Duffing Oscillator

    • G. Rega
    Pages 191-215

  11. Bifurcations and Chaotic Motions in Resonantly Excited Structures

    • S. I. Chang, A. K. Bajaj, P. Davies
    Pages 217-251

  12. Non-Linear Behavior of a Rectangular Plate Exposed to Airflow

    • J. Awrejcewicz, J. Mrozowski, M. Potier-Ferry
    Pages 253-272

  13. Back Matter

    Pages 273-275
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Keywords

About this book

Bifurcation and Chaos presents a collection of especially written articles describing the theory and application of nonlinear dynamics to a wide variety of problems encountered in physics and engineering. Each chapter is self-contained and includes an elementary introduction, an exposition of the present state of the art, and details of recent theoretical, computational and experimental results. Included among the practical systems analysed are: hysteretic circuits, Josephson circuits, magnetic systems, railway dynamics, rotor dynamics and nonlinear dynamics of speech. This book contains important information and ideas for all mathematicians, physicists and engineers whose work in R & D or academia involves the practical consequences of chaotic dynamics.

Editors and Affiliations

  • Division of Dynamics and Control (K-13), Technical University of Łódź, Łódź, Poland

    Jan Awrejcewicz

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