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Smooth transformation of an analytic system of differential equations to quasinormal form. (Russian. English summary) Zbl 0578.34005
Summary: A real analytic system of differential equations the linear approximation matrix of which has one pair of pure imaginary roots with others having negative real parts is studied in the neighbourhood of the origin. By the method of successive approximations a smooth transformation is constructed transforming the considered system into a form being suitable for an investigation.
MSC:
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
34C20 Transformation and reduction of ordinary differential equations and systems, normal forms
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