Abstract
We state and prove the center manifold theorem for retarded functional differential equations. The method of proof is based on the variation-of-constants formula in the framework of dual semigroups. As an application we deal with Hopf bifurcation.
| Original language | English |
|---|---|
| Pages (from-to) | 122-141 |
| Number of pages | 20 |
| Journal | Lecture Notes in Mathematics |
| Volume | 1463 |
| Publication status | Published - 1991 |
| Externally published | Yes |
Keywords
- Center manifold
- Dual semigroups
- Hopf bifurcation
- Retarded functional differential equations
- Strongly continuous semigroups
- Variation-of-constants formula
- Weak continuous semigroups