TY - CHAP
T1 - Some New Circuit Design for Chaos Generation
AU - Tang, K. S.
AU - Man, K. F.
AU - Zhong, G. Q.
AU - Chen, G.
PY - 2002
Y1 - 2002
N2 - 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.
AB - 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.
U2 - 10.1142/9789812705303_0009
DO - 10.1142/9789812705303_0009
M3 - 12_Chapter in an edited book (Author)
SN - 978-981-02-4933-5
SN - 9810249330
SP - 171
EP - 189
BT - CHAOS IN CIRCUITS AND SYSTEMS
A2 - Chen, Guanrong
A2 - Ueta, Tetsushi
PB - World Scientific
ER -