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

100%

Walther H.-O.

Instytut Matematyczny Polskiej Akademii Nauk

EN

CONTENTS Introduction...........................................................................................................................................5 I.........................................................................................................................................................15 1. Preliminaries...................................................................................................................................15 2. Solutions of a family of differential delay equations with periodic nonlinearity.................................16 3. Linearization of the semiflow............................................................................................................21 4. The saddle point property...............................................................................................................24 II........................................................................................................................................................30 5. The transformed semiflow...............................................................................................................30 6. A shift along the transformed semiflow............................................................................................36 7. The level sets $H⁺_{ak}$................................................................................................................44 8. Inclinations of tangent vectors.........................................................................................................46 9. Estimating D₁Σ(ψ,a) at BC-points ψ in level sets $H⁺_{ak}$............................................................48 10. End of the proof of Theorem 6.1...................................................................................................51 III.......................................................................................................................................................53 11. Šilnikov continuation and return map............................................................................................53 12. Smoothness properties of f...........................................................................................................56 13. Bifurcation.....................................................................................................................................58 14. Proof of Theorem 13.2 (vi.2) and (vi.3), for a parameter interval $A_{19}$ instead of A...............63 15. Proof of Theorem 13.2 (vi.1).........................................................................................................70 References.........................................................................................................................................74

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Corrections to "Bifurcation from a saddle connection in functional differential equations: An approach with inclination lemmas" (Dissertationes Math. 291 (1990))

96%

Walther H.-O.

Annales Polonici Mathematici

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1993

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tom 58

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nr 1

105-106

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Homoclinic and periodic solutions of scalar differential delay equations

84%

Walther H.-O.

Banach Center Publications

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1989

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tom 23

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nr 1

243-263

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Banach Center Publications

3 Walther H.-O.

1 1993

1 1990

1 1989

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

Corrections to "Bifurcation from a saddle connection in functional differential equations: An approach with inclination lemmas" (Dissertationes Math. 291 (1990))

Homoclinic and periodic solutions of scalar differential delay equations