Bifurcation of an equilibrium state of a singularly perturbed system with lag

We consider a system of singularly perturbed differential-difference equations with periodic right-hand sides. A representation of the integral manifold of this system is obtained. The bifurcation of an invariant torus from an equilibrium state and subfurcation of periodic solutions are studied.

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Bibliographische Detailangaben
Datum:1995
Hauptverfasser: Klevchuk, I. I., Клевчук, І. І.
Format: Artikel
Sprache:Ukrainisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1995
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/5499
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
Beschreibung
Zusammenfassung:We consider a system of singularly perturbed differential-difference equations with periodic right-hand sides. A representation of the integral manifold of this system is obtained. The bifurcation of an invariant torus from an equilibrium state and subfurcation of periodic solutions are studied.