Regularity and Complexity in Dynamical Systems

Authors: Luo, Albert C. J.

  • Illustrates new concepts and methodology in discontinuous dynamical systems
  • Uses different ideas to describe complicated dynamical systems in real worlds
  • Discusses the mechanism of chaos and diffusion in impulsive systems
  • Discusses strange attractor fragmentation and hidden mathematical structures
  • Contains intuitive illustrations and systematical description
  • Has complete example demonstrations
see more benefits

Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-1-4614-1524-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-1-4614-1523-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $209.00
price for USA
  • ISBN 978-1-4614-6168-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Regularity and Complexity in Dynamical Systems describes periodic and chaotic behaviors in dynamical systems, including continuous, discrete, impulsive, discontinuous, and switching systems. In traditional analysis, the periodic and chaotic behaviors in continuous, nonlinear dynamical systems were extensively discussed even if unsolved. In recent years, there has been an increasing amount of interest in periodic and chaotic behaviors in discontinuous dynamical systems because such dynamical systems are prevalent in engineering. Usually, the smoothening of discontinuous dynamical system is adopted in order to use the theory of continuous dynamical systems. However, such technique cannot provide suitable results in such discontinuous systems. In this book, an alternative way is presented to discuss the periodic and chaotic behaviors in discontinuous dynamical systems.

Reviews

From the reviews:

“The aim of this book is to provide a basis and a survey of the main topics the author’s research is devoted to. … The first and second chapters of the book contain the nonlinear counterpart of the theory for continuous and discrete dynamical systems. … These two first chapters together with the two appendices conform a textbook for an undergraduate student.” (Maite Grau, Zentralblatt MATH, Vol. 1253, 2013)


Table of contents (6 chapters)

  • Nonlinear Continuous Dynamical Systems

    Luo, Albert C. J.

    Pages 1-63

  • Nonlinear Discrete Dynamical Systems

    Luo, Albert C. J.

    Pages 65-136

  • Chaos and Multifractality

    Luo, Albert C. J.

    Pages 137-167

  • Complete Dynamics and Synchronization

    Luo, Albert C. J.

    Pages 169-221

  • Switching Dynamical Systems

    Luo, Albert C. J.

    Pages 223-296

Buy this book

eBook $159.00
price for USA (gross)
  • ISBN 978-1-4614-1524-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-1-4614-1523-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $209.00
price for USA
  • ISBN 978-1-4614-6168-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Regularity and Complexity in Dynamical Systems
Authors
Copyright
2012
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4614-1524-4
DOI
10.1007/978-1-4614-1524-4
Hardcover ISBN
978-1-4614-1523-7
Softcover ISBN
978-1-4614-6168-5
Edition Number
1
Number of Pages
XI, 497
Number of Illustrations and Tables
196 b/w illustrations
Topics