This article is cited in 4 papers

On New Resonances and Normal Forms of Autonomous Systems with One Zero Eigenvalue

V. S. Samovol

State University – Higher School of Economics

Abstract: In this paper, in a neighborhood of a singular point, we consider autonomous systems of ordinary differential equations such that the matrix of their linear part has one zero eigenvalue, while the other eigenvalues lie outside the imaginary axis. We study the reducibility of such systems to polynomial normal form.

Keywords: autonomous system, ordinary differential equations, singular point, zero eigenvalue, Taylor series, resonance, polynomial normal form.

UDC: 517.91

Received: 17.11.2008

DOI: 10.4213/mzm8795

 English version: Mathematical Notes, 2010, 88:1, 67–78

Bibliographic databases:

• 
• 
•