Publication detail

Stability and periodic investigations of linear planar difference systems

ČERMÁK, J. JÁNSKÝ, J.

Original Title

Stability and periodic investigations of linear planar difference systems

English Title

Stability and periodic investigations of linear planar difference systems

Type

journal article in Web of Science

Language

en

Original Abstract

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.

English abstract

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.

Keywords

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

Released

01.12.2016

Publisher

John Wiley & Sons, Ltd.

Location

Chichester

Pages from

5343

Pages to

5354

Pages count

12

URL

Documents

BibTex


@article{BUT129854,
  author="Jan {Čermák} and Jiří {Jánský}",
  title="Stability and periodic investigations of linear planar difference systems",
  annote="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.",
  address="John Wiley & Sons, Ltd.",
  chapter="129854",
  doi="10.1002/mma.3919",
  howpublished="print",
  institution="John Wiley & Sons, Ltd.",
  number="18",
  volume="39",
  year="2016",
  month="december",
  pages="5343--5354",
  publisher="John Wiley & Sons, Ltd.",
  type="journal article in Web of Science"
}