Generating multi-layer nested chaotic attractor and its FPGA implementation

作     者：Xuenan Peng Yicheng Zeng Mengjiao Wang Zhijun Li 彭雪楠;曾以成;王梦蛟;李志军

作者机构：School of Physics and Optoelectronic EngineeringXiangtan UniversityXiangtan 411105China School of Automation and Electronic InformationXiangtan UniversityXiangtan 411105China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2021年第30卷第6期

页      面：236-241页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：supported by the National Natural Science Foundation of China (Grant No. 62071411) 

主　　题：multi-layer nested attractors composited attractors multi-scroll attractors FPGA realization 

摘      要：Complex chaotic sequences are widely employed in real world, so obtaining more complex sequences have received highly interest. For enhancing the complexity of chaotic sequences, a common approach is increasing the scroll-number of attractors. In this paper, a novel method to control system for generating multi-layer nested chaotic attractors is *** first, a piecewise(PW) function, namely quadratic staircase function, is designed. Unlike pulse signals, each level-logic of this function is square constant, and it is easy to realize. Then, by introducing the PW functions to a modified Chua s system with cubic nonlinear terms, the system can generate multi-layer nested Chua s attractors. The dynamical properties of the system are numerically investigated. Finally, the hardware implementation of the chaotic system is used FPGA *** results show that theoretical analysis and numerical simulation are right. This chaotic oscillator consuming low power and utilization less resources is suitable for real applications.