Paper Info
Title
Bifurcation analysis of two disc dynamos with viscous friction and multiple time delays.
Abstract
The impact of multiple time delays on the dynamics of two disc dynamos with viscous friction is studied in this paper. We consider the stability of equilibrium states for different delay values, and determine the location of relevant Hopf bifurcations using the normal form method and the center manifold theory. By performing numerical calculations and analysis, we verify the validity of our analytically obtained results. Our research results reveal a classical period-doubling route towards deterministic chaos in the studied system, and play an important role for the better understanding of the complex dynamics of two disc dynamos with viscous friction subject to multiple time delays.
Year
DOI
Venue
2019
10.1016/j.amc.2018.10.090
Applied Mathematics and Computation
Keywords
Field
DocType
Disc dynamos,Chaotic attractors,Hopf bifurcation,Multiple time delays
Dynamo,Viscous friction,Complex dynamics,Center manifold,Bifurcation analysis,Mathematical analysis,Mathematics,Hopf bifurcation
Journal
Volume
ISSN
Citations 
347
0096-3003
0
PageRank 
References 
Authors
0.34
5
5
Name
Order
Citations
PageRank
Zhouchao Wei113717.10
Bin B. Zhu22210.46
Jing Yang315858.81
Perc Matjaž457058.27
Mitja Slavinec541.05