In this chapter, a new design method for chaotic circuits is introduced. This method is simple and flexible, which consists of two oscillators coupled by two diodes. Three kinds of oscillators are applied to the system. Firstly, the system with the same kind of oscillators is investigated via calculation of the Lyapunov exponents in order to confirm the chaos generation and the relations between the ratio of eigenvalues of two oscillators and chaos generation. Secondly, the system with different kinds of oscillators is investigated by determining the ratio of eigenvalues, to verify whether or not chaotic attractors can be observed.

3.1 Introduction

Chaotic phenomena have been studied by many researchers for quite a long time. However, studies of chaos are still very active and comprehensive today. In order to develop this research frontier, electric circuits design is very important, because electric circuits fit very well to the physical rules. Also, it is easy to perform in experiments within a short time. Therefore, the studies of chaos are still heavily dependent of the studies on chaotic circuits.

On the other hands, from an engineering point of view, engineering applications using chaotic circuits keep attracting many researchers' attentions, in the such fields as chaos communication systems, chaos control, chaos cryptosystems, chaos-based noise generators, and so on. These systems need some specific features,...