Detail publikace

Stability and periodic investigations of linear planar difference systems

ČERMÁK, J. JÁNSKÝ, J.

Anglický název

Stability and periodic investigations of linear planar difference systems

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

en

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.

Anglický 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 anglicky

stability theory; periodic solutions; difference equations; characteristic polynomial; location of zeros

Vydáno

01.12.2016

Nakladatel

John Wiley & Sons, Ltd.

Místo

Chichester

ISSN

0170-4214

Ročník

39

Číslo

18

Strany od–do

5343–5354

Počet stran

12

BIBTEX


@article{BUT129854,
  author="Jan {Čermák} and Jiří {Jánský},
  title="Stability and periodic investigations of linear planar difference systems",
  year="2016",
  volume="39",
  number="18",
  month="December",
  pages="5343--5354",
  publisher="John Wiley & Sons, Ltd.",
  address="Chichester",
  issn="0170-4214"
}