Coexisting hidden attractors in a 4D segmented disc dynamo with one stable equilibrium or a line equilibrium

• 来源期刊: 中国物理B（英文版）
• 关键词: coexisting hidden attractors 4D segmented disc dynamo pitchfork bifurcation Hopf bifurcation ultimate bound estimation
• 年，卷（期）: 2017,（8）
• 页码范围: 14-23
• 页数: 10页
• 语种: 英文
• DOI: 10.1088/1674-1056/26/8/080201

摘要

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.