RUS  ENG
Full version
JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2020 Volume 186, Pages 83–90 (Mi into716)

Curvature of cycles of phase systems with multistability

S. S. Mamonov, I. V. Ionova, A. O. Harlamova

Ryazan State University S. A. Esenin

Abstract: In this paper, we consider a system of differential equations describing a mathematical model of a phase-locked loop with a delay. We introduce the concept of the curvature of a cycle, which is applied to analyzing the proximity of cycles of nonphase and phase systems.

Keywords: system of differential equations, oscillatory cycle, phase system, curvature of cycle, rotation of a vector field.

UDC: 517.925.51

MSC: 34K05, 34K13, 34K60

DOI: 10.36535/0233-6723-2020-186-83-90



© Steklov Math. Inst. of RAS, 2024