A new fifth-dimensional Lorentz hyper-chaotic system and its dynamic analysis, synchronization and circuit experiment

Abstract

This paper introduces a new five-dimensional hyper-chaotic system with hyper-chaotic attractors. Its typical dynamical behaviors are also analyzed. The existence of hyper-chaotic attractors has been verified through Multisim and MATLAB simulations as well as circuit experiments. The Lyapunov stability theory is used to realize the stagger and adaptive synchronization of the system. During this process, the two methods are used to demonstrate the feasibility and compare the synchronization speed in different cases. The experimental results show that the staggered synchronization will converge to the synchronized state in a short time than another. This hyper-chaotic system is implemented with simple physical components to illustrate its correctness and rationality.