A comparative study of the dynamics of a three-disk dynamo system with and without time delay

作者：

Highlights：

• Comparative analysis on a three-disk dynamo system with and without time delay are performed.

• Regarding the local Hopf bifurcation, three different unfolding structures of delay-induced double Hopf bifurcations are presented.

• For the global transitions and phenomena, the coexistence of periodic or quasi-periodic attractors and chaotic motion are observed.

摘要

•Comparative analysis on a three-disk dynamo system with and without time delay are performed.•Regarding the local Hopf bifurcation, three different unfolding structures of delay-induced double Hopf bifurcations are presented.•For the global transitions and phenomena, the coexistence of periodic or quasi-periodic attractors and chaotic motion are observed.

论文关键词：Three-disk dynamo,Time delay,Co-dimension two bifurcations,Coexistence of multiple attractors,Chaos

论文评审过程：Received 9 June 2020, Revised 9 January 2021, Accepted 14 January 2021, Available online 9 February 2021, Version of Record 9 February 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126016