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Bogdanov-takens Bifurcation for Neutral Functional Differential Equations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Cao, Jianzhi Yuan, Rong |
| Copyright Year | 2013 |
| 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 Magalhães [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 ilustrate the theoretical results. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://ejde.math.txstate.edu/Volumes/2013/252/cao.pdf |
| Alternate Webpage(s) | https://ejde.math.txstate.edu/Volumes/2013/252/cao.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
