Bifurcation analysis of two disc dynamos with viscous friction and multiple time delays

被引：58
|
作者：
Wei, Zhouchao [1 ]
Zhu, Bin [1 ]
Yang, Jing [1 ]
Perc, Matjaz [2 ,3 ,4 ]
Slavinec, Mitja [2 ]
机构：
[1] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Hubei, Peoples R China
[2] Univ Maribor, Fac Nat Sci & Math, Koroska Cesta 160, SI-2000 Maribor, Slovenia
[3] Univ Maribor, Ctr Appl Math & Theoret Phys, Mladinska 3, SI-2000 Maribor, Slovenia
[4] Complex Sci Hub Vienna, Josefstadterstr 39, A-1080 Vienna, Austria
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 347卷
关键词：
Disc dynamos; Chaotic attractors; Hopf bifurcation; Multiple time delays; SYNCHRONIZATION; SYSTEM; CHAOS; IMPLEMENTATION; LATTICE;
D O I：
10.1016/j.amc.2018.10.090
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：265 / 281
页数：17
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