Chaotic Attractors Generated by a Memristor-Based Chaotic System and Julia Fractal

A chaotic system has many applications in random number generator, image encryption, and secure com-munication. It is essential to present abundant chaotic attractors in a single chaotic system. Thus a novel 3D chaotic system based on memristor is designed and analyzed. The system's key advantages are as follows: firstly, both the multi-scroll and extended chaotic attractors are produced by merely modifying system parameters. The complex dynamical phenomena, such as coexisting multiple multi-scroll chaotic attractors, transient phenomenon and state transformation, can be observed; secondly, the proposed sys-tem combines with the classical Julia fractal and Julia deformation forms, respectively, and fascinating and various circular chaotic attractors are generated, which take good advantage of the combination of a memristor-based chaotic system and Julia fractal. Meanwhile, by applying both dynamic analysis and nu-merical simulation, basic behaviors of the system, such as stability of equilibrium point, dissipation and symmetry, Poincare maps, instantaneous phase, 0-1 test and power spectrum are employed to illustrate the superiority of the system. Some rather impressive and promising applications of the proposed chaotic system to chaotic confidential communication and image encryption will be achieved later. (c) 2021 Elsevier Ltd. All rights reserved.

Automated summary

A novel 3D chaotic system based on memristor is designed to generate diverse chaotic attractors and has multiple advantages. Through dynamic analysis and numerical simulation, the basic behaviors of the system are illustrated, showing promising applications in chaotic confidential communication and image encryption.