On a network of chaotic oscillators by intermittently coupled capacitors

This paper studies a network of N chaotic oscillators connected by intermittently coupled capacitors (ICCs). The unit oscillator includes a capacitor and a binary hysteresis element with periodic thresholds. ICCs imply periodic and impulsive connection of the capacitors selected one by one from each cell. In order to analyze the ICC network, we provide the hybrid return map (HRM) with one real and N binary states. Using the HRM, we can clarify that the ICC network has co-existence states of various chaotic and periodic synchronous phenomena, and exhibits one of them depending on the initial states. The number of the co-existing phenomena increases illimitably as N increases. Some of the typical phenomena are confirmed in the laboratory