Coexisting attractors, chaos control and synchronization in a self-exciting homopolar dynamo system

Author: 

Chen, X
Li, X
Kingni, S
Moroz, I
Wei, Z
Jahanshahi, H

Publication Date: 

8 April 2020

Journal: 

International Journal of Intelligent Computing and Cybernetics

Last Updated: 

2020-10-07T01:59:49.74+01:00

DOI: 

10.1108/IJICC-11-2019-0123

abstract: 

<p><strong>Purpose:</strong><br />
The purpose of this paper is to investigate coexisting attractors, chaos control and synchronization in a self-exciting homopolar dynamo system in this paper.</p><br />

<p><strong>Design/Methodology/Approach:</strong><br />
Two single controllers are designed and added to the proposed 3D autonomous chaotic system, and its stability at zero equilibrium point is guaranteed by applying an appropriate control signal based on the Lyapunov stability theory.</p><br />

<p><strong>Findings:</strong><br />
Numerical simulations reveal that the proposed 3D dynamo system exhibits periodic oscillations, double-scroll chaotic attractors and coexisting attractors. Finally, a single controller is designed for the global asymptotic synchronization of a unidirectionally coupled identical 3D autonomous chaotic system.</p><br />

<p><strong>Originality/Value:</strong><br />
The derived results of this paper are new and complement some earlier works. The innovation concludes two points in this paper; coexisting attractors are foundthe and an appropriate control signal based on the Lyapunov stability theory is established. The ideas of this paper can be applied to investigate some other homopolar dynamo systems.</p>

Symplectic id: 

1081224

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article