CAJ | 학술논문

基于波特图的频域近似方法，研究了分数阶 Lü混沌系统。从系统的分岔图、Lyapunov 指数图和吸引子相位图等数值仿真分析验证了不同阶次 Lü混沌系统丰富的动力学特性。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 Lü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。
기우파특도적빈역근사방법，연구료분수계 Lü혼돈계통。종계통적분차도、Lyapunov 지수도화흡인자상위도등수치방진분석험증료불동계차 Lü혼돈계통봉부적동역학특성。우기우해방법화정수계혼돈전로적설계방법，설계료모의전로，실현료해분수계 Lü계통，전로중적전조화전용등수치시유계통삼수화빈역전체함수근사학정적。최후，관측시파기전로실험결과여이론분석결과상일치，종이진일보게시료혼돈계통적가실현성여동역학특성。
In this paper,fractional order Lü chaotic system is studied based on approximate method in frequency domain of the Potter chart.The rich characteristics of different order Lüchaotic systems are ana-lyzed and validated according to the numerical simulation analysis of the system bifurcation diagram,Lya-punov diagram and phase diagram of exponential attractor.Besides,the circuit is designed to realize the fractional-order Lü system based on this method and the method used in the integer order chaotic circuits. The values of the resistors 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 nu-merical calculation through the oscilloscope observation,which reveals the abundant dynamics characteris-tic and realization of the chaotic system to the further.