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

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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… Click to show full 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.

Keywords: equilibrium points; boundaries stability; stability domains; differential equations; domains equilibrium

Journal Title: Journal of Mathematical Sciences
Year Published: 2018

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