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

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Abstract

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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Authors and Affiliations

  1. Chernovtsy University, Chernovtsy

    I. I. Klevchuk

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  1. I. I. Klevchuk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 8, pp. 1022–1028, August, 1995.

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Klevchuk, I.I. Bifurcation of an equilibrium state of a singularly perturbed system with lag. Ukr Math J 47, 1169–1177 (1995). https://doi.org/10.1007/BF01057707

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  • DOI: https://doi.org/10.1007/BF01057707

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