Essentials of Nonlinear Circuit Dynamics with MATLAB® and Laboratory Experiments

The book begins with simple nonlinear dynamics, like the logistic map, and ends with nonlinear networks, like Cellular Nonlinear Networks. After discussing various examples, by using the essential concepts of bifurcation analysis, a set of laboratory experiences are proposed. This approach helps to build simple circuits and to achieve complex networks. The aim is to give to the readers a complete view of the main concepts of nonlinear dynamics finalized in order to understand complex systems and their control by using electronics devices. Numerical examples and homework problems with solutions are also included to enforce the material discussed. Moreover, the readers will be able to implement all the circuits and experiments proposed and could be stimulated to design new ones.

This book deals with nonlinear dynamics of electronic circuits, which could be used in robot control, secure communications, sensors and synchronized networks. The genesis of the content is related to a course on complex adaptive systems that has been held at the University of Catania since 2005. The efforts are devoted in order to emulate with nonlinear electronic circuits nonlinear dynamics. Step-by-step methods show the essential concepts of complex systems by using the Varela diagrams and accompanying MATLAB® exercises to reinforce new information. Special attention has been devoted to chaotic systems and networks of chaotic circuits by exploring the fundamentals, such as synchronization and control. The aim of the book is to give to readers a comprehensive view of the main concepts of nonlinear dynamics to help them better understand complex systems and their control through the use of electronics devices.