This article is cited in 2 papers

Finitely Smooth Normal Form of an Autonomous System with Two Pure Imaginary Roots

V. S. Samovol

State University – Higher School of Economics

Abstract: We consider the problem of finitely smooth normalization of a system of ordinary differential equations whose linear part has two eigenvalues, while the other eigenvalues lie outside the imaginary axis.

Keywords: autonomous system of ODE, normal form, singular point, weakly degenerate system, finitely smooth equivalence.

UDC: 517.91

Received: 23.11.2005

DOI: 10.4213/mzm2808

 English version: Mathematical Notes, 2006, 80:2, 261–271

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