A chaos-generator: analyses of complex dynamics of a cell equation in delayed cellular neural networks

Author

Lu, Hongtao ; He, Yongbao ; He, Zhenya

Author_Institution

Dept. of Comput. Sci., Fudan Univ., Shanghai, China

Volume

45

Issue

2

fYear

1998

fDate

2/1/1998 12:00:00 AM

Firstpage

178

Lastpage

181

Abstract

Complex dynamics of a single delayed cellular neural cell equation with nonmonotone increasing output equation are investigated. Dynamic phenomena are analyzed in separate regions and bifurcation phenomena are displayed. It shows that this very simple cell exhibits various types of dynamical behaviors, including chaos. It turns out that for any given delay, there must exist parameter regions in which the cell is chaotic. Some conditions for chaos to exist are discussed. The presented model can serve as a chaos-generator, in which chaos can be generated from any one-dimensional (1-D) linear autonomous system just by the addition of a piecewise-linear delayed feedback

Keywords

bifurcation; cellular neural nets; chaos; delays; difference equations; piecewise-linear techniques; stability; 1D linear autonomous system; bifurcation phenomena; cell equation; chaos generator; complex dynamics; delayed CNN; delayed cellular neural networks; dynamic phenomena; nonmonotone increasing output equation; piecewise-linear delayed feedback; Bifurcation; Cellular neural networks; Chaos; Circuits; Delay; Differential equations; Helium; Neural networks; Nonlinear equations; Piecewise linear techniques;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.661687

Filename

661687