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Abstract：
In 1979, Moffatt pointed out that the conventional treatment of the simplest self-exciting homopolar disc dynamo has inconsistencies because of the neglect of induced azimuthal eddy currents, which can be resolved by introducing a segmented disc dynamo. Here we return to the simple dynamo system proposed by Moffatt, and demonstrate previously unknown hidden chaotic attractors. Then we study multistability and coexistence of three types of attractors in the autonomous dynamo system in three dimensions: equilibrium points, limit cycles and hidden chaotic attractors. In addition, the existence of two homoclinic orbits is proved rigorously by the generalized Melnikov method. Finally, by using Poincare compactification of polynomial vector fields in three dimensions, the dynamics near infinity of singularities is obtained.
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Source ：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN： 0218-1274
Year： 2017
Issue： 2
Volume： 27
2 . 2 0 0
JCR@2022
ESI Discipline： MATHEMATICS;
ESI HC Threshold：66
CAS Journal Grade：3
Cited Count：
WoS CC Cited Count： 80
SCOPUS Cited Count： 86
ESI Highly Cited Papers on the List： 40 Unfold All
WanFang Cited Count：
Chinese Cited Count：
30 Days PV： 9
Affiliated Colleges：
