基于波特图的频域近似方法，研究了分数阶)*+ 混沌系统，并设计了一种树形电路单元来实现分数阶)*+ 混沌

系统，通过对&,! 阶)*+ 混沌系统的电路仿真和实验，以及!- #,.—#, （步长#, ）)*+ 混沌系统的电路仿真，验证了

树形电路单元的有效性，证实分数阶)*+ 混沌系统中确实存在混沌现象，且存在混沌的最低阶数为#,/0 设计简单

有效的线性反馈控制器，实现了分数阶)*+ 混沌系统的混沌控制0-Bode plot approximation method based on the frequency domain, the studied Fractional)*+ chaotic system, and designed to implement a tree circuit unit Fractional)*+ chaotic system, order by & ,!)* Ppls chaotic system circuit simulation and experiments, as well as-!#,# .- circuit " (step#" ))*+ chaotic system simulation, the validity of the tree circuit unit, confirmed fractional)*+ chaotic system Chaos phenomenon does exist, and there is a minimum order of chaos is#,/0 simple and effective design of linear feedback controller to achieve a fractional order)* chaos chaotic system control+ 0