Ht. Lu et al., A CHAOS-GENERATOR - ANALYSES OF COMPLEX DYNAMICS OF A CELL EQUATION IN DELAYED CELLULAR NEURAL NETWORKS, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 45(2), 1998, pp. 178-181
Complex dynamics of a single delayed cellular neural cell equation wit
h nonmonotone increasing output equation are investigated, Dynamic phe
nomena 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 giv
en delay, there must exist parameter regions in which the cell is chao
tic, Some conditions for chaos to exist are discussed. The presented m
odel can serve as a chaos-generator, in which chaos can be generated f
rom any one-dimensional (1-D) linear autonomous system just by the add
ition of a piecewise-linear delayed feedback.