Dynamical analysis and hardware verification of a new multistable memristive hyperchaotic map

Abstract

In this paper, a three-dimensional (3D) memristive hyperchaotic map is designed by coupling discrete memristor (DM). Structurally, the map features the existence of infinite fixed points. Based on the differential setting of parameters for various initial values, it can produce an infinite number of heterogeneous coexisting attractors or homogeneous coexisting attractors. Simultaneously, it can realize the attractors symmetric control. The numerical analysis and simulation results highlight its rich dynamical behaviors and excellent performance. A digital hardware platform based on a microcontroller is designed, clearly demonstrating the efficacy of the design through distinct visualization of attractors on an oscilloscope, providing tangible evidence of the successful hardware platform implementation.