2017
Том 69
№ 9

All Issues

On the existence of discontinuous limit cycles for one system of differential equations with pulse influence

Gorbachuk T. V., Perestyuk N. A.

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Abstract

For one system of differential equations with pulse influence, we establish conditions under which a positive root of the equation for stationary amplitudes obtained from equations of the first approximation generates a discontinuous limit cycle. We construct improved first approximations for the system under consideration.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 8, pp 1265-1275.

Citation Example: Gorbachuk T. V., Perestyuk N. A. On the existence of discontinuous limit cycles for one system of differential equations with pulse influence // Ukr. Mat. Zh. - 1997. - 49, № 8. - pp. 1127–1134.

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