Coexisting hidden attractors in a 4D segmented disc dynamo with one stable equilibrium or a line equilibrium

被引：11
作者：
Bao, Jianghong [1 ]
Chen, Dandan [1 ]
机构：
[1] South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China
来源：
CHINESE PHYSICS B | 2017年 / 26卷 / 08期
基金：
中国国家自然科学基金;
关键词：
coexisting hidden attractors; 4D segmented disc dynamo; pitchfork bifurcation; Hopf bifurcation; ultimate bound estimation; SYSTEM;
D O I：
10.1088/1674-1056/26/8/080201
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper introduces a four-dimensional (4D) segmented disc dynamo which possesses coexisting hidden attractors with one stable equilibrium or a line equilibrium when parameters vary. In addition, by choosing an appropriate bifurcation parameter, the paper proves that Hopf bifurcation and pitchfork bifurcation occur in the system. The ultimate bound is also estimated. Some numerical investigations are also exploited to demonstrate and visualize the corresponding theoretical results.
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页数：10
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