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Center Manifolds for Infinite Dimensional Nonautonomous Differential Equations

✍ 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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πŸ“œ SIMILAR VOLUMES


Approximation Scheme of a Center Manifol
✍ M.Ait Babram; M.L. Hbid; O. Arino πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 255 KB

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.

Computational Scheme of a Center Manifol
✍ M. Ait Babram; O. Arino; M.L. Hbid πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 134 KB

This work addresses a computational algorithm of terms of a center manifold for neutral functional differential equations. The Bogdanov᎐Takens 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

Asymptotic Stability for Nonautonomous S
✍ J.S. Yu πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 144 KB

␦ g 0, ϱ , P g C t ,ϱ , R , and Q g C t ,ϱ , 0, ϱ . We obtain suffi-0 0 cient conditions for the zero solution of this equation to be uniformly stable as well as asymptotically stable.