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Singular points of the solution of a system of Lorenz differential equations. (Russian) Zbl 0744.34031

A numerical method is described to find singular points in the complex plane for solutions of a system \(x'=f(x)\) where the components of \(f\) are polynomials. The method is applied to find singular points for solutions of the Lorenz system.

MSC:

34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
65L99 Numerical methods for ordinary differential equations
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