A cyclic system with delay and its characteristic equation

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

doi:10.3934/dcdss.2020017

A cyclic system with delay and its characteristic equation

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

Penn State Wilkes-Barre

Research output: Contribution to journal › Article › peer-review

9 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 language	English (US)
Pages (from-to)	293-319
Number of pages	27
Journal	Discrete and Continuous Dynamical Systems - Series S
Volume	13
Issue number	2
DOIs	https://doi.org/10.3934/dcdss.2020017
State	Published - 2019

All Science Journal Classification (ASJC) codes

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcdss.2020017

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title = "A cyclic system with delay and its characteristic equation",

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.",

author = "Elena Braverman and Karel Hasik and Ivanov, \{Anatoli F.\} and Trofimchuk, \{Sergei I.\}",

year = "2019",

doi = "10.3934/dcdss.2020017",

language = "English (US)",

volume = "13",

pages = "293--319",

journal = "Discrete and Continuous Dynamical Systems - Series S",

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publisher = "American Institute of Mathematical Sciences",

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T1 - A cyclic system with delay and its characteristic equation

AU - Braverman, Elena

AU - Hasik, Karel

AU - Ivanov, Anatoli F.

AU - Trofimchuk, Sergei I.

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85075869134

UR - https://www.scopus.com/pages/publications/85075869134#tab=citedBy

U2 - 10.3934/dcdss.2020017

DO - 10.3934/dcdss.2020017

M3 - Article

AN - SCOPUS:85075869134

SN - 1937-1632

VL - 13

SP - 293

EP - 319

JO - Discrete and Continuous Dynamical Systems - Series S

JF - Discrete and Continuous Dynamical Systems - Series S

IS - 2

ER -

A cyclic system with delay and its characteristic equation

Abstract

All Science Journal Classification (ASJC) codes

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