Chaotic Dynamics of Fractional-Order Liu System

被引：3
作者：
Gao, Xin [1 ]
机构：
[1] SW Nationalities Univ, Coll Elect Informat & Engn, Chengdu 610041, Sichuan, Peoples R China
来源：
RECENT TRENDS IN MATERIALS AND MECHANICAL ENGINEERING MATERIALS, MECHATRONICS AND AUTOMATION, PTS 1-3 | 2011年 / 55-57卷
关键词：
Liu system; fractional order; chaos; OSCILLATORS; INTEGER;
D O I：
10.4028/www.scientific.net/AMM.55-57.1327
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, we numerically investigate the chaotic behaviors of a new fractional-order system. We find that chaotic behaviors exist in the fractional-order system with order less than 3. The lowest order we find to have chaos is 2.4 in such system. In addition, we numerically simulate the continuances of the chaotic behaviors in the fractional-order system with orders from 2.7 to 3. Our investigations are validated through numerical simulations.
引用
收藏
页码：1327 / 1331
页数：5
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