Synchronization of chaos and its itinerancy from a network by occasional linear connection

This paper proposes a network of continuous-time chaotic cells and considers its dynamics. The cell includes a bipolar hysteresis whose thresholds vary periodically. The cell exhibits chaos and various stable periodic orbits. We have classified these phenomena in a bifurcation diagram 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 itinerancy. We have classified these phenomena and have clarified their existence condition. These results are guaranteed theoretically and are verified in the laboratory.

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