Lag and anticipating synchronization in one way coupled Chua's circuit

Abstract

We describe a method for achieving anticipating, complete and lag synchronizations in unidirectionally coupled chaotic Chua's oscillator. Pecora and Carroll approach for synchronization of cascaded coupled chaotic oscillators using a specific parameter mismatch of the response system is considered. As a result, an adjustable anticipating synchronization (AS), complete synchronization (CS) and lag synchronization (LS) effect can be achieved without the need for a variable delay line. We demonstrate this method both numerically and experimentally. In this circuit experiment, complete, lag and anticipating synchronizations are controlled by tuning the value of a single resistor in response system, which makes the method simpler.