Control synchronization of Chua's circuits via linear and nonlinear channels

Abstract

Synchronization plays an important role in regulating coupled chaotic systems. In this paper, capacitor-based field coupling and resistive coupling are applied to tame a class of chaotic circuits, stability analysis, and circuit verification in Multisim are carried out. Synchronization of two and three coupled Chua’s circuits can be reached via linear and nonlinear channels by resistor and capacitor connection in parallel. The range of synchronous coupling resistance R cp approximately decreases with coupling capacitance C cp increasing in the two circuits coupled system. In the three circuits coupled system, the range of synchronous coupling resistance R 12 decreases with the increase of another coupling resistance R 23. Compared with two circuits coupled system, the implementation of the synchronization process takes longer in three circuits coupled system with the same parameters. In addition, the three non-identical circuits coupled system is studied. Indirect coupling synchronization between driving and response systems without directly coupling can be achieved via an asynchronous intermediate system. Its application in chaotic, secure communication is discussed.