激光复混沌系统构建及其点乘函数投影同步  

A Novel Laser Complex Chaotic System and Its Point Multiplication Function Projection Synchronization

作　　者：方洁 姜明浩 安小宇 邓玮 FANG Jie;JIANG Minghao;AN Xiaoyu;DENG Wei(College of Electric and Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, China;Henan Key Lab of Information-based Electrical Appliances, Zhengzhou 450002, China)

机构地区：[1]郑州轻工业大学电气信息工程学院,郑州450002 [2]河南省信息化电器重点实验室,郑州450002

出　　处：《复杂系统与复杂性科学》2021年第1期30-37,共8页Complex Systems and Complexity Science

基　　金：国家自然科学基金(61775198);河南省科技攻关项目(202102210317,192102210083);河南省高等学校重点科研项目(20A413012)。

摘　　要：提出了一种新的激光复混沌系统及其点乘函数投影同步方法。首先,以四维激光实超混沌系统模型为基础,构建了一个新的激光复混沌系统,基于常规动力学分析方法和MATLAB仿真软件研究了系统的耗散性、平衡点、Lyapunov指数谱、相图、分叉图等基本动力学特性。研究结果表明,该系统动力学行为丰富,在一定参数下具有蝴蝶结型混沌、超混沌吸引子,非常适用于混沌加密领域。进一步,以向量点积运算为基础,定义了一种新的点乘函数投影同步方式,基于滑模控制方法实现了蝴蝶结型激光复混沌系统的点乘函数投影同步。数值仿真验证了理论分析的正确性和有效性。This paper proposes a new laser complex chaotic system and a new point multiplication function projection synchronization method.Firstly,a new laser complex chaotic system is constructed on the basis of the 4D laser real chaotic system.Based on the conventional dynamic analysis method and MATLAB simulation software,the basic dynamic characteristics of the system such as dissipation,equilibrium point,Lyapunov exponent spectrum,phase diagram and bifurcation diagram are studied.The results show that the new chaotic system is rich in dynamics and has bow-tie chaotic and hyperchaotic attractors under certain parameters.Secondly,according to the vector dot product operation,a new point multiplication function projection synchronization method is defined.Based on the sliding mode control method,the bow-tie laser complex chaotic system can realize point multiplication function projection synchronization according to the function scaling factor.Numerical simulations verify the correctness and validity of the theoretical analysis.

关 键 词：激光复混沌系统 蝴蝶结型混沌吸引子 点乘函数投影同步 滑模控制 

分 类 号：O415.5[理学—理论物理] TP273[理学—物理]