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分数阶混沌系统的电路仿真与实现

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为了研究分数阶混沌系统的特性及其应用,根据分数阶微积分算子的定义,研究了分数阶混沌系统的电路仿真与设计方法.方法通过设计分数阶积分算子的等效电路模块,构建分数阶混沌系统的电路系统,实现了分数阶混沌系统的仿真与特性分析.电路仿真可直观地观察系统变量的演化规律,并利用仿真输出结果分析分数阶混沌系统的动力学特性.在EWB仿真平台上对分数阶非耗散Lorenz混沌系统的仿真及其电路实现研究表明了分数阶混沌系统电路仿真方法的有效性和电路实现的可行性.
Circuit Simulation and Implement for Fractional- Order Chaotic Systems
To study the performances of Fractional -order chaotic system and its applications, a circuit simulation and design method of fractional - order chaotic systems were investigated based on the definition of fractionalorder calculus operator. By designing the simulation model of the fractional - order integral operator and setting up simulation circuit of the fractional - order chaotic system, the simulations and analysis of fractional - order chaotic system were carried out. By simulating, the evolving process of system variable is observing, and the dynamics performanees are analyzed conveniently by. The simulation results of the fractional - order diffusionless Lorenz system on EWB and its circuit complementation show that the circuit simulation and design approach are effective.

Fractional - order calculusChaosCircuit simulation

孙克辉、杨静利、丘水生

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中南大学物理科学与技术学院,湖南,长沙,410083

华南理工大学电子与信息学院,广东,广州,510641

分数阶微积分 混沌 电路仿真

中国博士后科学基金中南大学物理教改教研专项基金

20070420774

2011

计算机仿真
中国航天科工集团公司第十七研究所

计算机仿真

CSTPCDCSCD北大核心
影响因子:0.518
ISSN:1006-9348
年,卷(期):2011.28(2)
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