Detail publikačního výsledku

Stability and periodic investigations of linear planar difference systems

ČERMÁK, J.; JÁNSKÝ, J.

Originální název

Stability and periodic investigations of linear planar difference systems

Anglický název

Stability and periodic investigations of linear planar difference systems

Druh

Článek WoS

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

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

Klíčová slova v angličtině

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

Autoři

ČERMÁK, J.; JÁNSKÝ, J.

Rok RIV

2017

Vydáno

01.12.2016

Nakladatel

John Wiley & Sons, Ltd.

Místo

Chichester

ISSN

0170-4214

Periodikum

MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Svazek

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"
}