S. S. Mamonov, A. O. Kharlamova, “Cycles of the First Kind of Systems with Cylindrical Phase Space”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2018, Volume 148,Pages <nobr>83

This article is cited in 5 papers

Cycles of the First Kind of Systems with Cylindrical Phase Space

S. S. Mamonov, A. O. Kharlamova

Ryazan State University named for S. A. Esenin

Abstract: In this paper, we consider a system of differential equations with a cylindrical phase space, which is a mathematical model of a frequency-phase self-tuning system. Conditions for the existence of a limit cycle of the first kind are obtained.

Keywords: limit cycle of the first kind, cylindrical phase space, positively invariant set, toroidal set.

UDC: 517.925.51

MSC: 34K05, 34K13, 34K60