Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation (Nonlinear Physical Science)

"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.

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)