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A Comparative Study of the Dynamics of a Three-disk Dynamo System with and Without Time Delay by Shuning Deng; Jinchen Ji; Guilin Wen; Huidong Xu is a Mathematics article available to read on EtoBox.

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The disk dynamo plays an important role in studying the geodynamo and much research works have been devoted to the understanding of dynamo dynamics. This paper further investigates an extended disk dynamo system having three coupled conducting disks and incorporates the interaction-induced time delay in the dynamic governing equations. By carrying out a comparative analysis, the dynamic behaviors of the coupled three-disk dynamo system with and without time delay are studied to explore novel and complex nonlinear dynamic phenomena in the coupled delayed dynamo system. It is found that the double Hopf bifurcations can be induced in the time-delayed dynamo system. Three different topological structures of the unfolding are obtained under different time delays. Accordingly, it is shown that the novel dynamic behaviors, including quasi-periodic torus, three-dimensional torus and the coexistence of multiple attractors, can appear in the timedelayed dynamo system. Furthermore, by performing the continuation analysis on the periodic orbit generated from the Hopf bifurcation of equilibrium, some new coexistence patterns, e.g., the coexistence of periodic orbits and chaos, the coexistence o

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Author

Shuning Deng; Jinchen Ji; Guilin Wen; Huidong Xu

Publisher

Elsevier BV

Published

2021

Language

EN

Field

Mathematics (Physical Sciences)