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ČERMÁK, J. JÁNSKÝ, J.
Original Title
Stability and periodic investigations of linear planar difference systems
Type
journal article in Web of Science
Language
English
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.
Keywords
stability theory; periodic solutions; difference equations; characteristic polynomial; location of zeros
Authors
ČERMÁK, J.; JÁNSKÝ, J.
Released
1. 12. 2016
Publisher
John Wiley & Sons, Ltd.
Location
Chichester
ISBN
0170-4214
Periodical
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Year of study
39
Number
18
State
United Kingdom of Great Britain and Northern Ireland
Pages from
5343
Pages to
5354
Pages count
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" }