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

doi:10.1088/1674-1056/26/8/080201

中国物理B ›› 2017, Vol. 26 ›› Issue (8): 80201-080201.doi: 10.1088/1674-1056/26/8/080201

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

Jianghong Bao(鲍江宏), Dandan Chen(陈丹丹)

School of Mathematics, South China University of Technology, Guangzhou 510641, China

收稿日期:2017-02-23 修回日期:2017-04-16 出版日期:2017-08-05 发布日期:2017-08-05
通讯作者: Jianghong Bao E-mail:majhbao@yahoo.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11671149).

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

Jianghong Bao(鲍江宏), Dandan Chen(陈丹丹)

School of Mathematics, South China University of Technology, Guangzhou 510641, China

Received:2017-02-23 Revised:2017-04-16 Online:2017-08-05 Published:2017-08-05
Contact: Jianghong Bao E-mail:majhbao@yahoo.com
About author:0.1088/1674-1056/26/8/
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11671149).

摘要/Abstract

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.

关键词: coexisting hidden attractors, 4D segmented disc dynamo, pitchfork bifurcation, Hopf bifurcation, ultimate bound estimation

Abstract:

Key words: coexisting hidden attractors, 4D segmented disc dynamo, pitchfork bifurcation, Hopf bifurcation, ultimate bound estimation

中图分类号: (Ordinary differential equations)

02.30.Hq

02.30.Oz (Bifurcation theory) 05.45.-a (Nonlinear dynamics and chaos)

鲍江宏, 陈丹丹. Coexisting hidden attractors in a 4D segmented disc dynamo with one stable equilibrium or a line equilibrium[J]. 中国物理B, 2017, 26(8): 80201-080201.

Jianghong Bao(鲍江宏), Dandan Chen(陈丹丹). Coexisting hidden attractors in a 4D segmented disc dynamo with one stable equilibrium or a line equilibrium[J]. Chin. Phys. B, 2017, 26(8): 80201-080201.

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

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

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