Name
Abstract | ||
|---|---|---|
A FitzHugh-Nagumo neuron model with cubic nonlinearity and discrete delay is considered, in which the time delay is regarded as a parameter. The effect of time delay on the linear stability and Hopf bifurcation of the model is studied. The existence, stability and direction of the local and global Hopf bifurcation are derived. Some numerical simulations are employed to validate the main results of this work. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1080/00207160.2011.587876 | Int. J. Comput. Math. |
Keywords | Field | DocType |
main result,global hopf bifurcation,noise-driven excitable neuron model,hopf bifurcation,fitzhugh-nagumo neuron model,cubic nonlinearity,delay-induced hopf bifurcation,linear stability,time delay,numerical simulation,discrete delay,fitzhugh nagumo model,normal forms,normal form | Period-doubling bifurcation,Bogdanov–Takens bifurcation,Biological applications of bifurcation theory,Bifurcation diagram,Mathematical analysis,Transcritical bifurcation,Pitchfork bifurcation,Saddle-node bifurcation,Hopf bifurcation,Mathematics | Journal |
Volume | Issue | ISSN |
88 | 15 | 0020-7160 |
Citations | PageRank | References |
0 | 0.34 | 4 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Baogui Xin | 1 | 10 | 3.72 |
| Junhai Ma | 2 | 99 | 25.51 |
| Tong Chen | 3 | 36 | 8.17 |
| Qin Gao | 4 | 0 | 0.34 |