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

Abstract

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.

Keywords: coexisting hidden attractors 4D segmented disc dynamo pitchfork bifurcation Hopf bifurcation ultimate bound estimation

Received: 23 February 2017
Revised: 16 April 2017
Accepted manuscript online:

PACS:	02.30.Hq	(Ordinary differential equations)
	02.30.Oz	(Bifurcation theory)
	05.45.-a	(Nonlinear dynamics and chaos)

Fund:

Project supported by the National Natural Science Foundation of China (Grant No. 11671149).

Corresponding Authors: Jianghong Bao
E-mail: majhbao@yahoo.com

About author: 0.1088/1674-1056/26/8/

Cite this article:

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 2017 Chin. Phys. B 26 080201

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

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