J
2020
A cyclic system with delay and its characteristic equation
HASÍK, Karel, Sergei TROFIMCHUK, Anatoli F. IVANOV and Elena BRAVERMAN
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
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
není předmětem státního či obchodního tajemství
RIV identification code
RIV/47813059:19610/20:A0000074
Organization unit
Mathematical Institute in Opava
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
International impact, Reviewed
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.
Displayed: 24/12/2024 17:50