Dynamical Analysis and Fixed-Time Synchronization for Secure Communication of Hidden Multiscroll Memristive Chaotic System

Abstract

In view of the superiority of memristors in strengthening dynamical complexity and the significant application potiential of multiscroll chaos, this paper attempts to introduce two memristors with scalable memductances into simple seed chaotic system for designing multiscroll memristive chaotic system (MMCS). The designed MMCS yields hidden grid multiscroll chaotic attractors with any number of scrolls expanding along with the internal variables of memristors. By varying the parameters, the multiscroll attractors can be broken into coexisting attractors with different numbers and scrolls dependent on parameters, and their oscillation amplitudes can be increased (or decreased) without changing the chaotic features. Dynamical analysis and circuit implementation are given to reveal the complexity and feasibility of the MMCS. The fixed-time synchronization (FxTS) is studied by using adaptive controller and the sufficient condition for FxTS is established via Lyapunov stability theory (LST). A multilevel secure communication scheme based on the FxTS of MMCS is designed and the experimental tests on the image, audio and data secure communication verify its effectiveness, which to some extent shows the application availability of MMCS.