A cyclic system with delay and its characteristic equation

J 2020

A cyclic system with delay and its characteristic equation

HASÍK, Karel, Sergei TROFIMCHUK, Anatoli F. IVANOV a Elena BRAVERMAN

Základní údaje

Originální název

A cyclic system with delay and its characteristic equation

Autoři

HASÍK, Karel (203 Česká republika, domácí), Sergei TROFIMCHUK (804 Ukrajina, garant), Anatoli F. IVANOV (804 Ukrajina) a Elena BRAVERMAN (124 Kanada)

Vydání

Discrete and Continuous Dynamical Systems - Series S, Springfield, American Institute of Mathematical Sciences, 2020, 1937-1632

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

Discrete and Continuous Dynamical Systems - Series S

Kód RIV

RIV/47813059:19610/20:A0000074

Organizační jednotka

Matematický ústav v Opavě

DOI

http://dx.doi.org/10.3934/dcdss.2020001

UT WoS

000496422500002

Klíčová slova anglicky

Cyclic delay systems; sign feedback; overall negative feedback; linearization; characteristic equation; leading eigenvalue; eigenvalues with positive real parts; asymptotic behavior of eigenvalues; monotone solutions; oscillating solutions

Štítky

MÚ

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 6. 4. 2021 06:54, Mgr. Aleš Ryšavý

Anotace

V originále

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.

Citovat

HASÍK, Karel, Sergei TROFIMCHUK, Anatoli F. IVANOV a Elena BRAVERMAN. A cyclic system with delay and its characteristic equation. Discrete and Continuous Dynamical Systems - Series S. Springfield: American Institute of Mathematical Sciences, 2020, roč. 13, č. 1, s. 1-29. ISSN 1937-1632. Dostupné z: https://dx.doi.org/10.3934/dcdss.2020001.

@article{39683,
   author = {Hasík, Karel and Trofimchuk, Sergei and Ivanov, Anatoli F. and Braverman, Elena},
   article_location = {Springfield},
   article_number = {1},
   doi = {http://dx.doi.org/10.3934/dcdss.2020001},
   keywords = {Cyclic delay systems; sign feedback; overall negative feedback; linearization; characteristic equation; leading eigenvalue; eigenvalues with positive real parts; asymptotic behavior of eigenvalues; monotone solutions; oscillating solutions},
   language = {eng},
   issn = {1937-1632},
   journal = {Discrete and Continuous Dynamical Systems - Series S},
   title = {A cyclic system with delay and its characteristic equation},
   url = {http://www.aimsciences.org/article/doi/10.3934/dcdss.2020001},
   volume = {13},
   year = {2020}
}

TY  - JOUR
ID  - 39683
AU  - Hasík, Karel - Trofimchuk, Sergei - Ivanov, Anatoli F. - Braverman, Elena
PY  - 2020
TI  - A cyclic system with delay and its characteristic equation
JF  - Discrete and Continuous Dynamical Systems - Series S
VL  - 13
IS  - 1
SP  - 1-29
EP  - 1-29
PB  - American Institute of Mathematical Sciences
SN  - 19371632
KW  - Cyclic delay systems
KW  - sign feedback
KW  - overall negative feedback
KW  - linearization
KW  - characteristic equation
KW  - leading eigenvalue
KW  - eigenvalues with positive real parts
KW  - asymptotic behavior of eigenvalues
KW  - monotone solutions
KW  - oscillating solutions
UR  - http://www.aimsciences.org/article/doi/10.3934/dcdss.2020001
L2  - http://www.aimsciences.org/article/doi/10.3934/dcdss.2020001
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.
ER  -

HASÍK, Karel, Sergei TROFIMCHUK, Anatoli F. IVANOV a Elena BRAVERMAN. A cyclic system with delay and its characteristic equation. \textit{Discrete and Continuous Dynamical Systems - Series S}. Springfield: American Institute of Mathematical Sciences, 2020, roč.~13, č.~1, s.~1-29. ISSN~1937-1632. Dostupné z: https://dx.doi.org/10.3934/dcdss.2020001.

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