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

Zhouchao Wei, Bin Zhu, Jing Yang, Matjaž Perc and Mitja Slavinec

Applied Mathematics and Computation, 2019, vol. 347, issue C, 265-281

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.

Keywords: Disc dynamos; Chaotic attractors; Hopf bifurcation; Multiple time delays (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:347:y:2019:i:c:p:265-281

DOI: 10.1016/j.amc.2018.10.090

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