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

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 sy...

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Datum:1997
Hauptverfasser: Gorbachuk, T. V., Perestyuk, N. A., Горбачук, Т. В., Перестюк, М. О.
Format: Artikel
Sprache:Ukrainisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1997
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/5105
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung: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.