Energy Flow Theory of Nonlinear Dynamical Systems with Applications

  • Jing Tang Xing

Part of the Emergence, Complexity and Computation book series (ECC, volume 17)

Table of contents

  1. Front Matter
    Pages 1-15
  2. Jing Tang Xing
    Pages 1-43
  3. Jing Tang Xing
    Pages 57-84
  4. Jing Tang Xing
    Pages 85-95
  5. Jing Tang Xing
    Pages 97-123
  6. Jing Tang Xing
    Pages 139-157
  7. Jing Tang Xing
    Pages 159-210
  8. Jing Tang Xing
    Pages 211-229
  9. Jing Tang Xing
    Pages 231-246
  10. Back Matter
    Pages 247-297

About this book


This monograph develops a generalised energy flow theory to investigate non-linear dynamical systems governed by ordinary differential equations in phase space and often met in various science and engineering fields. Important nonlinear phenomena such as, stabilities, periodical orbits, bifurcations and chaos are tack-led and the corresponding energy flow behaviors are revealed using the proposed energy flow approach. As examples, the common interested nonlinear dynamical systems, such as, Duffing’s oscillator, Van der Pol’s equation, Lorenz attractor, Rössler one and SD oscillator, etc, are discussed. This monograph lights a new energy flow research direction for nonlinear dynamics. A generalised Matlab code with User Manuel is provided for readers to conduct the energy flow analysis of their nonlinear dynamical systems. Throughout the monograph the author continuously returns to some examples in each chapter to illustrate the applications of the discussed theory and approaches. The book can be used as an undergraduate or graduate textbook or a comprehensive source for scientists, researchers and engineers, providing the statement of the art on energy flow or power flow theory and methods.


Duffing’s Equation Energy Flow Field Energy Flow Theory Energy Flow in Vector Fields Energy Flow of Bifurcations Energy Flow of Chaos Nonlinear Dynamical Systems Power Flow Analysis Van der Pol’s System

Authors and affiliations

  • Jing Tang Xing
    • 1
  1. 1.Faculty of Engg. and the Environments Fluid Stru. Interactions Research GroupUniversity of SouthamptonSouthamptonUnited Kingdom

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-17740-3
  • Online ISBN 978-3-319-17741-0
  • Series Print ISSN 2194-7287
  • Series Online ISSN 2194-7295
  • Buy this book on publisher's site