Name
Title | ||
|---|---|---|
Bifurcation mechanism of bursting oscillations in parametrically excited dynamical system |
Abstract | ||
|---|---|---|
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). |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.amc.2014.05.043 | Applied Mathematics and Computation |
Keywords | Field | DocType |
bifurcation mechanism,bursting,quiescent state,spiking | Excited state,Bursting,Symmetry breaking,Bifurcation diagram,Theta model,Phase portrait,Classical mechanics,Dynamical system,Bifurcation,Physics | Journal |
Volume | ISSN | Citations |
243, | 0096-3003 | 2 |
PageRank | References | Authors |
0.44 | 1 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Qinsheng Bi | 1 | 29 | 7.89 |
| Ran Zhang | 2 | 33 | 13.46 |
| Zhengdi Zhang | 3 | 7 | 4.34 |