Abstract
Under some generic conditions, we show how a unique stable periodic orbit can bifurcate from a homoclinic orbit for semilinear parabolic equations and retarded functional differential equations. This is a generalization of a result of Sil'nikov for ordinary differential equations.
Original language | English (US) |
---|---|
Pages (from-to) | 539-587 |
Number of pages | 49 |
Journal | Transactions of the American Mathematical Society |
Volume | 312 |
Issue number | 2 |
DOIs | |
State | Published - Apr 1989 |
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics