Title :
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
fDate :
2/1/1998 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
