Computational Fractional Dynamical Systems

This book presents a wide and comprehensive spectrum of issues and problems related to fractional-order dynamical systems. It is meant to be a full-fledge, comprehensive presentation of many aspects related to the broadly perceived fractional-order dynamical systems which constitute an extension of the traditional integer-order-type descriptions. This implies far-reaching consequences, both analytic and algorithmic, because—in general—properties of the traditional integer-order systems cannot be directly extended by a straightforward generalization to fractional-order systems, modeled by fractional-order differential equations involving derivatives of an non-integer order.

]

This book brings together important contributions from renowned international researchers to provide an excellent survey of recent advances in dynamical systems theory and applications.

by Jocelyn Sabatier (Author), Patrick Lanusse (Author), Pierre Melchior (Author), Alain Oustaloup (Author)

The book details the sufficient and necessary conditions for dynamical systems synchronizations, through extensive mathematical expression. Techniques for engineering implementation of DSS are clearly presented compared with the existing techniques. This is an ideal book for scientific researchers, academics, and graduate students in the field of nonlinear dynamics.