2007•Vestnik St Petersburg University MathematicsRequires access

On a singular point with one zero characteristic root

Alexey Andreev

Open publisher page 3 citations

Abstract

A sufficiently smooth real autonomous system of differential equations with an isolated singular point on the plane is considered. A new method for investigating the behavior of trajectories of the system in the neighborhood of this point is suggested.

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What this paper is about

A sufficiently smooth real autonomous system of differential equations with an isolated singular point on the plane is considered. A new method for investigating the behavior of trajectories of the system in the neighborhood of this point is suggested.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A sufficiently smooth real autonomous system of differential equations with an isolated singular point on the plane is considered. A new method for investigating the behavior of trajectories of the system in the neighborhood of this point is suggested.

Key concepts: Singular point of a curve, Regular singular point, Zero (linguistics), Root (linguistics), Plane (geometry), Mathematics, Point (geometry), Singular solution

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