In this paper, we consider a general autonomous functional differential equation having a local center manifold. Then, we give an algorithmic procedure to compute the terms in the Taylor expansion of this manifold up to any order.
Center Manifold Theory for Functional Differential Equations of Mixed Type
β Scribed by H. J. Hupkes; S. M. Verduyn Lunel
- Publisher
- Springer US
- Year
- 2006
- Tongue
- English
- Weight
- 497 KB
- Volume
- 19
- Category
- Article
- ISSN
- 1040-7294
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This work addresses a computational algorithm of terms of a center manifold for neutral functional differential equations. The BogdanovαTakens and the Hopf singularities are considered. Finally, as an illustration of our scheme, we give an example where the second term of a center manifold is explic
There are occasions when a linear autonomous functional differential equation of mixed type can be reduced to a neutral or retarded equation. A necessary condition for such reducibility is shown to be that the set of solutions of the characteristic equation is bounded on the right in the complex pla