HASÍK, Karel, Sergei TROFIMCHUK, Anatoli F. IVANOV and 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, vol. 13, No 1, p. 1-29. ISSN 1937-1632. Available from: https://dx.doi.org/10.3934/dcdss.2020001.
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Basic information
Original name A cyclic system with delay and its characteristic equation
Authors HASÍK, Karel (203 Czech Republic, belonging to the institution), Sergei TROFIMCHUK (804 Ukraine, guarantor), Anatoli F. IVANOV (804 Ukraine) and Elena BRAVERMAN (124 Canada).
Edition Discrete and Continuous Dynamical Systems - Series S, Springfield, American Institute of Mathematical Sciences, 2020, 1937-1632.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW Discrete and Continuous Dynamical Systems - Series S
RIV identification code RIV/47813059:19610/20:A0000074
Organization unit Mathematical Institute in Opava
Doi http://dx.doi.org/10.3934/dcdss.2020001
UT WoS 000496422500002
Keywords in English 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
Tags MÚ
Tags International impact, Reviewed
Changed by Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 6/4/2021 06:54.
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.
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