基于Adomian分解法的分数阶Bao混沌系统动力学分析与电路实现  

Solution Analysis of the Fractional-order Bao Chaotic System Based on Adomian Decomposition and Circuit Implementation

作　　者：雷腾飞 陈恒[2] 王艳玲 王彩峰 付海燕 陈晓霞[3] LEI Teng-fei;CHEN Heng;WANG Yan-ling;WANG Cai-feng;FU Hai-yan;CHEN Xiao-xia(School of Mechanical and Electrical Engineering,Qilu Institute of Technology,Jinan 250200,China;School of Science,Xijing University,Xi'an 710123,China;School of Science,Hebei University of Technology,Tianjin 300401,China)

机构地区：[1]齐鲁理工学院机电工程学院,山东济南250200 [2]西京学院理学院,陕西西安710123 [3]河北工业大学理学院,天津300401

出　　处：《数学的实践与认识》2020年第14期252-258,共7页Mathematics in Practice and Theory

基　　金：山东省自然科学基金(ZR2017PA008);山东省高校科技计划项目(J18KA381)。

摘　　要：采用Adomian分解法从分数阶(0.9阶)Bao系统的混沌相图、分岔图、最大Lyapunov指数(MLE)以及SE与CO复杂度等数值仿真分析研究了该系统复杂的动力学特性.又基于整数阶混沌电路的设计方法,设计了硬件电路,实现了该分数Bao混沌系统,最后,观测示波器电路实验结果与理论分析结果相一致,从而进一步揭示了此类分数阶过渡混沌系统的可实现性与混沌特性.In this paper,fractional order chaotic system is studied based on decomposition method of Adomian.The rich characteristics of 0.9 order Bao chaotic system are analyzed and validated according to the numerical simulation analysis of the system bifurcation diagram of the system、MLE、SE complexity and CO complexity.Besides,the circuit is designed to realize the fractional-order Bao system based on the method and the method used in the integer order chaotic circuits.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 to the further.

关 键 词：分数阶混沌系统 ADOMIAN分解法 MLE 电路 

分 类 号：O415.5[理学—理论物理]