Authors: Jesus Manuel M. Pacheco, Esteban Tlelo Cuautle

Electronic Design Automation of Multi-scroll Chaos Generators

eBook: US $39 Special Offer (PDF + Printed Copy): US $93
Printed Copy: US $74
Library License: US $156
ISBN: 978-1-60805-664-4 (Print)
ISBN: 978-1-60805-165-6 (Online)
Year of Publication: 2010
DOI: 10.2174/97816080516561100101


This book is unique when compared with books on non-linear circuits and systems. The book introduces novel concepts of physics, computer and electrical engineering. The synthesis of Multi-scroll chaotic oscillators is performed through three hierarchical levels of abstractions. A good repertoire of multi-scroll chaos generators is presented by dealing with 1D, 2D ad 3D oscillators which require one, two or three piece-wise linear functions, respectively. Each function is designed using operational amplifiers. Since the approach uses behavioral models, other electronic devices including novel integrated circuits can be used to design the chaos generators. This is an important part of the book since it opens new lines of research while holding a tutorial characteristic for educational purposes. The book is recommended for electronic design students and professionals.


This book introduces novel concepts of various areas of physics, computer and electrical engineering. For instance, we present a synthesis methodology to design multi-scrolls chaotic oscillators by dividing the process into three hierarchical levels of abstraction. The first one is the electronic system level, supported by performing high-level behavioural modelling and simulation, and allows exploring a wide range of parameters for the generation of multi-scrolls chaos generators. At this level, to speed-up time simulation, we implement a procedure for the automatic control and determination of step-size in multi-step algorithms. The second level is devoted to use behavioural models of the electronics devices within Verilog-A to describe the hardware of the nonlinear dynamical system. Computer and electrical experts coexist at this level because we show the synthesis of the mathematical descriptions by a block diagram which takes into account the real behaviour of electronic devices. The excursion levels of the chaotic signals are scaled within values that can be synthesized using behavioural models to control the breaking points and slopes of saturated functions. The third level of the Electronic Design Automation (EDA) approach is the selection of an electronic device to implement the chaotic generator. A good repertoire of multi-scrolls chaos generators is presented by dealing with one-dimensional (1D), 2D and 3D oscillators, which respectively requires one, two or three piecewise-linear (PWL) functions. We show the design of the PWL functions by using operational amplifiers (opamps). However, since the high-level approach uses behavioural models, other novel analog integrated circuits (ICs) can be used to implement the chaos generators. To highlight the usefulness of the designed multi-scrolls chaotic oscillators, we present the realization of a secure communication system. Although this application uses commercially available opamps, this is an important part of the book since it opens new lines for future EDA and IC design research, while providing a tutorial for educational purposes.