摘要
基于波特图的频域近似方法研究了分数阶Chen混沌系统.从系统的分岔图、Lyapunov指数谱和吸引子相位图等数值仿真分析验证了不同阶次Chen混沌系统的动力学特性;又基于该方法和整数阶混沌电路的设计方法,设计了模拟电路,实现了该分数阶Chen系统,电路中的电阻和电容等数值是由系统参数和频域传递函数近似确定的;最后,观测示波器电路实验结果与理论分析结果相一致,从而进一步揭示了混沌系统的可实现性与动力学特性.
Fractional order Chen chaotic system is studied based on approximate method in frequency domain of the Potter chart. The characteristics of different order Chen chaotic system are analyzed and vali- dated according to the numerical simulation analysis of the system bifurcation diagram, Lyapunov diagram and phase diagram of exponential attractor. The circuit is also designed to realize the fractional-order Chen system based on the method and the method used in the integer order chaotic circuits. The values of the re sistors and capacitors in the circuit are selected according to the system parameters and transfer function approximation in frequency domain. The experimental results are consistent with the numerical calculation through the oscilloscope observation, which reveals the abundant dynamics characteristic and realization of the chaotic system further.
出处
《河北师范大学学报（自然科学版）》
CAS
2015年第3期208-215,共8页
Journal of Hebei Normal University：Natural Science
基金
陕西省教育厅科研计划项目(12JK1077
13JK1068)
陕西省科技厅科技攻关项目(2009K08-40)
