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Bogdanov-Takens bifurcation for neutral functional differential equations
| Content Provider | Directory of Open Access Journals (DOAJ) |
|---|---|
| Author | Jianzhi Cao Rong Yuan |
| Abstract | In this article, we consider a class of neutral functional differential equations (NFDEs). First, some feasible assumptions and algorithms are given for the determination of Bogdanov-Takens (B-T) singularity. Then, by employing the method based on center manifold reduction and normal form theory due to Faria and Magalhaes [4], a concrete reduced form for the parameterized NFDEs is obtained and the bifurcation behavior of the parameterized NFDEs is described. This result extend the B-T bifurcation analysis reported in [16]. Finally, two examples illustrate the theoretical results. |
| Related Links | http://ejde.math.txstate.edu/Volumes/2013/252/abstr.html |
| e-ISSN | 10726691 |
| Journal | Electronic Journal of Differential Equations |
| Issue Number | 252 |
| Volume Number | 2013 |
| Language | English |
| Publisher | Texas State University |
| Publisher Date | 2013-01-01 |
| Publisher Place | United States |
| Access Restriction | Open |
| Subject Keyword | Mathematics Neutral Functional Differential Equations Center Manifold Bogdanov-takens Bifurcation Normal Forms |
| Content Type | Text |
| Resource Type | Article |
