Advertisement

Bifurcation and Chaos in Engineering

  • Yushu Chen
  • Andrew Y. T. Leung

Table of contents

  1. Front Matter
    Pages i-xii
  2. Yushu Chen, Andrew Y. T. Leung
    Pages 35-65
  3. Yushu Chen, Andrew Y. T. Leung
    Pages 66-83
  4. Yushu Chen, Andrew Y. T. Leung
    Pages 84-153
  5. Yushu Chen, Andrew Y. T. Leung
    Pages 154-175
  6. Yushu Chen, Andrew Y. T. Leung
    Pages 176-229
  7. Yushu Chen, Andrew Y. T. Leung
    Pages 230-264
  8. Yushu Chen, Andrew Y. T. Leung
    Pages 265-310
  9. Yushu Chen, Andrew Y. T. Leung
    Pages 311-340
  10. Yushu Chen, Andrew Y. T. Leung
    Pages 341-398
  11. Yushu Chen, Andrew Y. T. Leung
    Pages 399-435
  12. Back Matter
    Pages 436-452

About this book

Introduction

For the many different deterministic non-linear dynamic systems (physical, mechanical, technical, chemical, ecological, economic, and civil and structural engineering), the discovery of irregular vibrations in addition to periodic and almost periodic vibrations is one of the most significant achievements of modern science. An in-depth study of the theory and application of non-linear science will certainly change one's perception of numerous non-linear phenomena and laws considerably, together with its great effects on many areas of application. As the important subject matter of non-linear science, bifurcation theory, singularity theory and chaos theory have developed rapidly in the past two or three decades. They are now advancing vigorously in their applications to mathematics, physics, mechanics and many technical areas worldwide, and they will be the main subjects of our concern. This book is concerned with applications of the methods of dynamic systems and subharmonic bifurcation theory in the study of non-linear dynamics in engineering. It has grown out of the class notes for graduate courses on bifurcation theory, chaos and application theory of non-linear dynamic systems, supplemented with our latest results of scientific research and materials from literature in this field. The bifurcation and chaotic vibration of deterministic non-linear dynamic systems are studied from the viewpoint of non-linear vibration.

Keywords

Vibration algorithms calculus chaos design differential equation dynamical systems engineering design finite element method mathematics mechanics numerical method operator stability structural dynamics

Authors and affiliations

  • Yushu Chen
    • 1
  • Andrew Y. T. Leung
    • 2
  1. 1.Department of MechanicsTianjin UniversityTianjinChina
  2. 2.Manchester School of Engineering, Simon BuildingUniversity of ManchesterManchesterUK

Bibliographic information

Industry Sectors
Pharma
Biotechnology
Energy, Utilities & Environment
Aerospace
Oil, Gas & Geosciences