A cyclic system with delay and its characteristic equation
Classical Analysis and ODEs
2019-11-21 v1
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.
Cite
@article{arxiv.1707.06726,
title = {A cyclic system with delay and its characteristic equation},
author = {Elena Braverman and Karel Hasik and Anatoli F. Ivanov and Sergei Trofimchuk},
journal= {arXiv preprint arXiv:1707.06726},
year = {2019}
}
Comments
22 pages, 1 figure, accepted for publication in a special issue of DCDS-S