Nonlinear Physical Science

Fractional-Order Nonlinear Systems

Modeling, Analysis and Simulation

Authors: Petras, Ivo

  • A clear examination of the stability theory of fractional dynamical systems, with examples
  • Presents complex concepts in fractional dynamical systems in easy-to-understand fashion
  • Integrates Matlab programs and Simulink models for interactive learning
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eBook $149.00
price for USA (gross)
  • ISBN 978-3-642-18101-6
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Hardcover $199.00
price for USA
  • ISBN 978-3-642-18100-9
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About this book

"Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study of fractional-order chaotic systems accompanied by Matlab programs for simulating their state space trajectories, which are shown in the illustrations in the book. Description of the chaotic systems is clearly presented and their analysis and numerical solution are done in an easy-to-follow manner. Simulink models for the selected fractional-order systems are also presented. The readers will understand the fundamentals of the fractional calculus, how real dynamical systems can be described using fractional derivatives and fractional differential equations, how such equations can be solved, and how to simulate and explore chaotic systems of fractional order.

The book addresses to mathematicians, physicists, engineers, and other scientists interested in chaos phenomena or in fractional-order systems. It can be used in courses on dynamical systems, control theory, and applied mathematics at graduate or postgraduate level.  

Ivo Petráš is an Associate Professor of automatic control and the Director of the Institute of Control and Informatization of Production Processes, Faculty of BERG, Technical University of Košice, Slovak Republic. His main research interests include control systems, industrial automation, and applied mathematics.

Reviews

From the reviews:

“The principal goal of this monograph is to introduce the reader to a new and rapidly growing branch of dynamical systems called fractional-order chaotic systems. … the book is a very nice first step towards a systematic description of this new and interesting direction of research. The monograph can be used by graduate students and researchers working with chaotic dynamical systems, control, synchronization and related fields.” (Yuri V. Rogovchenko, Zentralblatt MATH, Vol. 1228, 2012)


Table of contents (7 chapters)

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-3-642-18101-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.00
price for USA
  • ISBN 978-3-642-18100-9
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Fractional-Order Nonlinear Systems
Book Subtitle
Modeling, Analysis and Simulation
Authors
Series Title
Nonlinear Physical Science
Copyright
2011
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
Distribution Rights
Distribution rights in China: Higher Education Press
eBook ISBN
978-3-642-18101-6
DOI
10.1007/978-3-642-18101-6
Hardcover ISBN
978-3-642-18100-9
Series ISSN
1867-8440
Edition Number
1
Number of Pages
218
Number of Illustrations and Tables
119 b/w illustrations
Additional Information
Jointly published with Higher Education Press
Topics