CHAOS IN A FRACTIONAL ORDER CHUAS SYSTEM

被引：760
|
作者：
HARTLEY, TT
LORENZO, CF
QAMMER, HK
机构：
[1] UNIV AKRON,DEPT ELECT ENGN,AKRON,OH 44325
[2] UNIV AKRON,DEPT CHEM ENGN,AKRON,OH 44325
[3] NASA,LEWIS RES CTR,SYST DYNAM BRANCH,CLEVELAND,OH 44135
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 1995年 / 42卷 / 08期
关键词：
D O I：
10.1109/81.404062
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This brief studies the effects of fractional dynamics in chaotic systems. In particular, Chua's system is modified to include fractional order elements. By varying the total system order incrementally from 2.6 to 3.7, it is demonstrated that systems of ''order'' less than three can exhibit chaos as well as other nonlinear behavior. This effectively forces a clarification of the definition of order which can no longer be considered only by the total number of differentiations or by the highest power of the Laplace variable.
引用
收藏
页码：485 / 490
页数：6
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