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ČERMÁK, J. JÁNSKÝ, J.
Originální název
Stability and periodic investigations of linear planar difference systems
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
This paper discusses the problem of stability and periodic behaviour of linear planar difference systems appearing in modelling of discrete problems of population biology and Hopfield neural networks. We concentrate especially on procedures, which enable to formulate optimal (i.e. necessary and sufficient) conditions guaranteing such a behaviour. As amain tool, we analyse in detail location of zeros of characteristic polynomials with respect to the unit circle. From this viewpoint, derived results contribute also to the polynomial theory.
Klíčová slova
stability theory; periodic solutions; difference equations; characteristic polynomial; location of zeros
Autoři
ČERMÁK, J.; JÁNSKÝ, J.
Vydáno
1. 12. 2016
Nakladatel
John Wiley & Sons, Ltd.
Místo
Chichester
ISSN
0170-4214
Periodikum
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Ročník
39
Číslo
18
Stát
Spojené království Velké Británie a Severního Irska
Strany od
5343
Strany do
5354
Strany počet
12
URL
http://onlinelibrary.wiley.com/doi/10.1002/mma.3919/full
BibTex
@article{BUT129854, author="Jan {Čermák} and Jiří {Jánský}", title="Stability and periodic investigations of linear planar difference systems", journal="MATHEMATICAL METHODS IN THE APPLIED SCIENCES", year="2016", volume="39", number="18", pages="5343--5354", doi="10.1002/mma.3919", issn="0170-4214", url="http://onlinelibrary.wiley.com/doi/10.1002/mma.3919/full" }