H. Torikai et T. Saito, SYNCHRONIZATION OF CHAOS AND ITS ITINERANCY FROM A NETWORK BY OCCASIONAL LINEAR CONNECTION, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 45(4), 1998, pp. 464-472
This paper proposes a network of continuous-time chaotic cells and con
siders its dynamics. The cell includes a bipolar hysteresis whose thre
sholds vary periodically. The cell exhibits chaos and various stable p
eriodic orbits. We have classified these phenomena in a bifurcation di
agram and have clarified basic generation mechanism of these phenomena
. The network is constructed by using the Occasional Linear Connection
method that connects the cells occasionally by using a sampled state
of each cell, The network exhibits various phenomena: synchronization
of stable periodic orbits, synchronization of chaos, and chaotic itine
rancy, We have classified these phenomena and have clarified their exi
stence condition. These results are guaranteed theoretically and are v
erified in the laboratory.