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一个具有共存吸引子的混沌系统分析及电路设计

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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。
Analysis and Circuit Design of a Chaotic System with Coexisting Attractors
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 simu-lation 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.

chaotic systemcoexisting attractorchaotic circuitcircuit simulation

吕恩胜

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河南应用技术职业学院 机电工程学院,郑州 450042

混沌系统 共存吸引子 混沌电路 电路仿真

2024

动力学与控制学报
中国力学学会 湖南大学

动力学与控制学报

CSTPCD
影响因子:0.446
ISSN:1672-6553
年,卷(期):2024.22(11)