Bifurcation mechanism of bursting oscillations in parametrically excited dynamical system

被引：29
|
作者：
Bi, Qinsheng [1 ]
Zhang, Ran [1 ]
Zhang, Zhengdi [1 ]
机构：
[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 243卷
基金：
中国国家自然科学基金;
关键词：
Quiescent state; Spiking; Bursting; Bifurcation mechanism; MODEL; SPIKING;
D O I：
10.1016/j.amc.2014.05.043
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The evolution of bursting oscillations in a parametrically excited dynamical system with order gap between the excited frequency and the natural frequency is investigated in this paper. By regarding the periodic excited term as a slow-varying parameter, different forms of bifurcations of the system are obtained. Base on the overlap between the bifurcation diagram and the phase portrait, the mechanism of different types of bursting oscillations are obtained. Furthermore, some phenomena in bursting oscillations such as symmetry breaking behavior are explained through the bifurcations occurring at the transitions between the quiescent state (QS) and spiking state (SP). (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：482 / 491
页数：10
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