Bifurcations of a New Fractional-Order System with a One-Scroll Chaotic Attractor

被引：4
|
作者：
Liu, Xiaojun [1 ,2 ]
Hong, Ling [3 ]
Yang, Lixin [4 ]
Tang, Dafeng [3 ]
机构：
[1] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China
[2] Xian Univ Architecture & Technol, Sch Sci, Xian 710055, Shaanxi, Peoples R China
[3] Xi An Jiao Tong Univ, State Key Lab Strength & Vibrat Mech Struct, Xian 710049, Shaanxi, Peoples R China
[4] Shaanxi Univ Sci & Technol, Sch Arts & Sci, Xian 710021, Shaanxi, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2019年 / 2019卷
基金：
中国国家自然科学基金;
关键词：
CHEN;
D O I：
10.1155/2019/8341514
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a new fractional-order system which has a chaotic attractor of the one-scroll structure is presented. Firstly, the stability of the equilibrium points of the system is investigated. And based on the stability analysis, the generation conditions of the one-scroll structure for the attractor are determined. In a commensurate-order case, bifurcations with the variation of a system parameter are investigated as derivative orders decrease from 0.99. In an incommensurate-order case, bifurcations with the variation of a derivative order are analyzed as other orders decrease from 1.
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收藏
页数：15
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