Basic synchronous phenomena by intermittently coupled capacitors

摘要

We propose a simple coupling method using intermittently coupled capacitors (ICC's). We construct a coupling system by applying the ICC to two piecewise linear nonantonomous chaotic circuits. Then the ICC changes the two chaotic attractors into a coexisting state of chaos synchronization and periodic synchronization. The system exhibits one of them depending on the initial states. The system dynamics are reduced into a 3-D return map with one real and two binary variables and the occurrence of the coexisting phenomenon is guaranteed theoretically. Also, typical phenomena are confirmed in the laboratory.