A cyclic system with delay and its characteristic equation.

Authors :: Braverman, Elena
Hasik, Karel
Ivanov, Anatoli F.
Trofimchuk, Sergei I.
Source :: Discrete & Continuous Dynamical Systems - Series S; Jan2020, Vol. 13 Issue 1, p1-29, 29p
Publication Year :: 2020
Abstract: A nonlinear cyclic system with delay and the overall negative feedback is considered. The characteristic equation of the linearized system is studied in detail. Sufficient conditions for the oscillation of all solutions and for the existence of monotone solutions are derived in terms of roots of the characteristic equation. [ABSTRACT FROM AUTHOR]