A cyclic system with delay and its characteristic equation

Elena Braverman, Karel Hasik, Anatoli F. Ivanov, Sergei I. Trofimchuk

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)1-29
Number of pages29
JournalDiscrete and Continuous Dynamical Systems - Series S
Volume13
Issue number2
DOIs
StatePublished - 2019

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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