Geodesic
Duck trajectories of relaxation systems connected with violation of the normal switching conditions
Sbornik. Mathematics, Tome 68 (1991) no. 1, pp. 291-301 Cet article a éte moissonné depuis la source Math-Net.Ru

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Assume that for $x\in R$ and $y\in R^2$ at an isolated point of discontinuity of the relaxation system $$ \varepsilon\dot x=f(x,y),\quad\dot y=g(x,y),\qquad0<\varepsilon\ll1, $$ the so-called normal switching condition is violated generically. Under this assumption a theorem on the existence and the asymptotic properties of two structurally stable duck trajectories is proved. Their role in the dynamics of relaxation systems is stressed. Bibliography: 6 titles. 
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A. Yu. Kolesov. Duck trajectories of relaxation systems connected with violation of the normal switching conditions. Sbornik. Mathematics, Tome 68 (1991) no. 1, pp. 291-301. http://geodesic.mathdoc.fr/item/SM_1991_68_1_a14/

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