Some New Circuit Design for Chaos Generation

This chapter discusses some new circuitry design of chaos generation in simple three-dimensional autonomous systems. The well-known Chua's circuit will be adopted as the framework for basic design. We aim at designing some simple circuits to realize distinct nonlinearities, including smooth nonlinear functions and piecewise-linear functions of one variable, to purposely create chaos. The main theme of the chapter is three-fold. First, we introduce some techniques for chaos generation using smooth nonlinear functions, where a new family of smooth continuous nonlinear functions that can generate multi-scroll attractors is proposed. Second, we present some simple chaos generating circuits by using a piecewise-quadratic function, x|x|, and a piecewise-linear function, respectively, where attractors with multi-scrolls can be easily obtained by adding break points in the piecewise-linear function. Finally, a circuit design for realizing Chen's chaotic attractor, generated by simple smooth quadratic functions, is suggested. The chapter thus presents several snapshots on simple circuitry design for chaos generation.