This article is cited in 3 papers

Conditions for existence of relaxation oscillations in singular systems of low dimension

L. I. Kononenko

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: Relaxation oscillations are studied in a singularly perturbed system of ordinary differential equations with $m$ slow and $n$ fast variables for the case of $m=2$ and $n=1$. Necessary conditions and sufficient conditions for existence of relaxation oscillations are given.

UDC: 541.124:541.126:517.9

Received: 21.02.2005

 English version: Journal of Applied and Industrial Mathematics, 2007, 1:1, 45–49

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