Geodesic
Specific relaxation cycles of systems of Lotka--Volterra type
Izvestiya. Mathematics , Tome 38 (1992) no. 3, pp. 503-523.

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Effective conditions are found under which planar relaxation systems of a certain class have cycles with one $\delta$-like component and another component close to discontinuous. A complete asymptotics of the cycles is constructed and the question on their stability is solved. 
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A. Yu. Kolesov. Specific relaxation cycles of systems of Lotka--Volterra type. Izvestiya. Mathematics , Tome 38 (1992) no. 3, pp. 503-523. http://geodesic.mathdoc.fr/item/IM2_1992_38_3_a3/

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