一种新的分数阶混沌系统研究  

Study on New Fractional Chaotic System

作　　者：左建政[1] 王光义[1] 

机构地区：[1]杭州电子科技大学电子信息学院,浙江杭州310018

出　　处：《现代电子技术》2009年第10期122-124,共3页Modern Electronics Technique

基　　金：浙江省自然科学基金资助项目(Y105175);杭州电子科技大学科研基金资助项目(KYS051505010)

摘　　要：为了提高混沌信号的复杂性,提出一个新的分数阶混沌系统。介绍两种分数阶微积分的分析方法,时域求解法对其进行数值仿真;时频域转换法对其进行电路仿真。数值仿真结果表明,系统存在混沌的最低阶数是2.31。设计该系统的分数阶混沌振荡电路,电路仿真与数值仿真结果相符,证实了该分数阶混沌振荡电路的可行性。In order to enhance complexity of chaotic systems, this paper proposes a new fractional chaotic system and introduces two analytical methods of fractional calculus. Numerical simulation adopts a method to solve fractional calculus in time domain,Circuit simulation adopts the method of conversion between time domain and frequency domain. The simulation results show that the minimum order of the system is 2.31 when the system exhibits chaotic behaviors. Then a fractional chaotic oscillating circuit for implementing the system is designed and simulated. Circuit simulation results show a good qualitative agreement between the circuit and numerical simulations. The feasibility of the signal generator is confirmed.

关 键 词：分数阶 混沌 电路设计 电路仿真 

分 类 号：TN401[电子电信—微电子学与固体电子学]