一个具有共存吸引子的混沌系统分析及电路设计  

Analysis and Circuit Design of a Chaotic System with Coexisting Attractors

作　　者：吕恩胜 Lv Ensheng(School of Mechanical&Electrical Engineering,Henan Vocational College of Applied Technology,Zhengzhou 450042,China)

机构地区：[1]河南应用技术职业学院机电工程学院,郑州450042

出　　处：《动力学与控制学报》2024年第11期72-81,共10页Journal of Dynamics and Control

基　　金：河南省高等学校重点科研项目计划(23B510010)。

摘　　要：为了产生共存吸引子,通过在Chen系统的第一个方程加入1个乘积项,使得每个方程都有1个非线性项,构建了一个新的Chen系统.Matlab仿真表明,新的Chen系统不仅存在多种类型的共存吸引子现象,还有逆倍周期分岔现象,含有丰富的混沌动力学行为.为了让新的Chen系统更好地应用,设计了模拟器件电路和STM32数字电路,电路数值仿真和物理实验一致.In order to generate the coexisting attractor,a new Chen system is constructed by adding a product term to the first equation of Chen system,and each equation has a nonlinear term.Matlab simulation shows that the new Chen system is not only the coexistence attractor phenomenon of various types,but also the inverse periodic bifurcation phenomenon and abundant chaotic characteristics.For the application of the new Chen system,the simulator circuit and STM32 digital circuit are designed,and the numerical simulation is consistent with the physical experiment.

关 键 词：混沌系统 共存吸引子 混沌电路 电路仿真 

分 类 号：N93[自然科学总论]