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

作　　者：鲍江宏 陈丹丹 

机构地区：[1]School of Mathematics,South China University of Technology,Guangzhou 510641,China

出　　处：《Chinese Physics B》2017年第8期14-23,共10页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.11671149)

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.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.

关 键 词：coexisting hidden attractors 4D segmented disc dynamo pitchfork bifurcation Hopf bifurcation ultimate bound estimation 

分 类 号：O175[理学—数学]