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.
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References
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Additional information
Kiev University, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 8, pp. 1127–1134, August, 1997.
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Gorbachuk, T.V., Perestyuk, M.O. On the existence of discontinuous limit cycles for one system of differential equations with pulse influence. Ukr Math J 49, 1265–1275 (1997). https://doi.org/10.1007/BF02487551
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DOI: https://doi.org/10.1007/BF02487551