Multistability in a system of two coupled oscillators with delayed feedback
type: Item
instance of: scholarly article
title: Multistability in a system of two coupled oscillators with delayed feedback
zbMATH Open document ID: 1410.34200
author: A. A. Kashchenko
published in: Journal of Differential Equations
publication date: 2018-11-06T00:00:00Z
review text: The author considers an infinite-dimensional dynamical system associated to two weakly coupled oscillators with nonlinear compactly supported delayed feedback. In fact, he studies a family of such systems depending on a large parameter. In order to study the existence and stability of relaxation periodic orbits of this dynamical system, the author is able to construct a finite dimensional mapping and to prove that the initial problem is equivalent to study the dynamics of this mapping. Asymptotic formulas of these relaxation periodic solutions were constructed.
reviewed by: Adriana Buică
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K25
Mathematics Subject Classification ID: 34K26
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 6973901
zbMATH Keywords: delay
zbMATH Keywords: large parameter
zbMATH Keywords: relaxation oscillation
zbMATH Keywords: nonlocal dynamics
zbMATH Keywords: periodic solution
zbMATH Keywords: asymptotics
MaRDI profile type: Publication
full work available at URL: j.jde.2018.07.050
OpenAlex ID: W2886000436
cites work: Applied Delay Differential Equations
cites work: Q4866274
cites work: Delay Differential Equations
cites work: Q3661372
cites work: REGULAR AND CHAOTIC PULSATIONS IN LASER DIODE WITH DELAYED FEEDBACK
cites work: DYNAMICS OF FIRST ORDER EQUATIONS WITH NONLINEAR DELAYED FEEDBACK
cites work: Dynamics of spikes in delay coupled semiconductor lasers
cites work: Q3126296
cites work: Q4349196
cites work: Handbook of Chaos Control
Wikidata QID: Q129427315
DOI: 10.1016/J.JDE.2018.07.050
description: scientific article; zbMATH DE number 6973901