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Boundaries of Stability Domains for Equilibrium Points of Differential Equations with Parameters

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Abstract

We consider autonomous and periodic differential equations containing two scalar parameters and analyze the construction of boundaries of stability domains of equilibrium points for such equations in the plane of parameters. We indicate conditions under which a unique smooth boundary curve passes through a given point. We propose a scheme of approximate construction of this curve.

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Authors and Affiliations

  1. Bashkir State University, Ufa, Russia

    M. G. Yumagulov & I. Zh. Mustafina

  2. Bashkir State Agrarian University, Ufa, Russia

    L. S. Ibragimova

Authors
  1. M. G. Yumagulov
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  2. L. S. Ibragimova
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  3. I. Zh. Mustafina
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Corresponding author

Correspondence to M. G. Yumagulov.

Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 132, Proceedings of International Symposium “Differential Equations–2016,” Perm, 2016.

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Yumagulov, M.G., Ibragimova, L.S. & Mustafina, I.Z. Boundaries of Stability Domains for Equilibrium Points of Differential Equations with Parameters. J Math Sci 230, 818–821 (2018). https://doi.org/10.1007/s10958-018-3797-x

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  • DOI: https://doi.org/10.1007/s10958-018-3797-x

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