Generating Grid Multiscroll Memristive Chua's Circuit and Its Predefined-Time Synchronization for Secure Communication

With consideration of the inherent nonlinearity and distinctive memory characteristics, memristors are excellent candidates for constructing multiscroll attractors. This paper seeks to introduce a memristor into the Chua's circuit to operate in conjunction with a novel piecewise nonlinear resistor which replaces the Chua's diode to design the circuit that can generate grid multiscroll attractors, which is designated as multiscroll memristive Chua's circuit (MMCC). The designed MMCC is capable of generating any number of scrolls, with the number of scrolls expanding in accordance with the internal variables of the memristor and the nonlinear resistor. By utilizing phase portraits, bifurcation diagrams, Lyapunov exponents (LEs), coexisting attractors and amplitude modulation thoroughly examined its property. The feasibility of the MMCC is demonstrated through circuit implementation. Furthermore, we design the predefined-time synchronization (PTS) controller for the MMCC, serving as the foundation for a multi-channel segmented secure communication scheme, whose effectiveness is rigorously validated through experimental testing.