Cite this article:
Jianghong Bao, Dandan Chen. Coexisting hidden attractors in a 4D segmented disc dynamo with one stable equilibrium or a line equilibriumJ. Chin. Phys. B, 2017, 26(8): 080201.
| Jianghong Bao, Dandan Chen. Coexisting hidden attractors in a 4D segmented disc dynamo with one stable equilibrium or a line equilibriumJ. Chin. Phys. B, 2017, 26(8): 080201. |
Coexisting hidden attractors in a 4D segmented disc dynamo with one stable equilibrium or a line equilibrium
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Abstract
This paper introduces a four-dimensional (4D) segmented disc dynamo which possesses coexisting hidden attractors with one stable equilibrium or a line equilibrium when parameters vary. In addition, by choosing an appropriate bifurcation parameter, the paper proves that Hopf bifurcation and pitchfork bifurcation occur in the system. The ultimate bound is also estimated. Some numerical investigations are also exploited to demonstrate and visualize the corresponding theoretical results. -
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