Bifurcation from a saddle connection in functional differential equations: An approach with inclination lemmas

Hans-Otto Walther

GDML_Books, (1990), p.

Résumé

CONTENTSIntroduction...........................................................................................................................................5  I.........................................................................................................................................................151. Preliminaries...................................................................................................................................152. Solutions of a family of differential delay equations with periodic nonlinearity.................................163. Linearization of the semiflow............................................................................................................214. The saddle point property...............................................................................................................24  II........................................................................................................................................................305. The transformed semiflow...............................................................................................................306. A shift along the transformed semiflow............................................................................................367. The level sets $H⁺_{ak}$................................................................................................................448. Inclinations of tangent vectors.........................................................................................................469. Estimating D₁Σ(ψ,a) at BC-points ψ in level sets $H⁺_{ak}$............................................................4810. End of the proof of Theorem 6.1...................................................................................................51  III.......................................................................................................................................................5311. Šilnikov continuation and return map............................................................................................5312. Smoothness properties of f...........................................................................................................5613. Bifurcation.....................................................................................................................................5814. Proof of Theorem 13.2 (vi.2) and (vi.3), for a parameter interval $A_{19}$ instead of A...............6315. Proof of Theorem 13.2 (vi.1).........................................................................................................70References.........................................................................................................................................74

Détail

Zbl 0726.34058

EUDML-ID : urn:eudml:doc:268509