Center Manifolds for Infinite Dimensional Nonautonomous Differential Equations
β Scribed by C. Chicone; Y. Latushkin
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 492 KB
- Volume
- 141
- Category
- Article
- ISSN
- 0022-0396
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π SIMILAR VOLUMES
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.
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
β¦ g 0, Ο± , P g C t ,Ο± , R , and Q g C t ,Ο± , 0, Ο± . We obtain suffi-0 0 cient conditions for the zero solution of this equation to be uniformly stable as well as asymptotically stable.