Compound bursting dynamics in a parametrically and externally excited mechanical system

被引：18
|
作者：
Wei, Mengke [1 ]
Jiang, Wenan [1 ]
Ma, Xindong [1 ]
Zhang, Xiaofang [1 ]
Han, Xiujing [1 ]
Bi, Qinsheng [1 ]
机构：
[1] Jiangsu Univ, Fac Civil Engn & Mech, Zhenjiang 212013, Jiangsu, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2021年 / 143卷
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Compound "supHopf/homoclinic-fold/supHopf" bursting; Compound "supHopf/supHopf-fold/supHopf" bursting; Fast-slow analysis; Bifurcations; Transition of bursting; OSCILLATIONS; NEURONS; BIFURCATION;
D O I：
10.1016/j.chaos.2020.110605
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper aims to report complex bursting dynamics in a parametrically and externally excited mechanical system. Typically, two compound bursting patterns, i.e., bursting of "supHopf/homoclinic-fold/supHopf" type and bursting of "supHopf/supHopf-fold/supHopf" type, composed of two different clusters during each period of bursting, can be observed in this system. To begin with, the generation of each of the two clusters in compound bursting of "supHopf/homoclinic-fold/supHopf" type is investigated by the fast-slow analysis. Then, a two-parameter bifurcation diagram is plotted to investigate the transition of the compound bursting. We show that there are two originally disunited active areas, which may inosculate as a whole by homoclinic bifurcations if the system parameter varies properly. Based on this, a different type of compound bursting, i.e., bursting of "supHopf/supHopf-fold/supHopf" type, is revealed. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：7
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