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

  • T. V. Gorbachuk
  • N. A. Perestyuk

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.
Published
25.08.1997
How to Cite
GorbachukT. V., and PerestyukN. A. “On the Existence of Discontinuous Limit Cycles for One System of Differential Equations With Pulse Influence”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 49, no. 8, Aug. 1997, pp. 1127–1134, https://umj.imath.kiev.ua/index.php/umj/article/view/5105.
Section
Short communications