Stability and periodic investigations of linear planar difference systems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F16%3APU121095" target="_blank" >RIV/00216305:26210/16:PU121095 - isvavai.cz</a>
Result on the web
<a href="http://onlinelibrary.wiley.com/doi/10.1002/mma.3919/full" target="_blank" >http://onlinelibrary.wiley.com/doi/10.1002/mma.3919/full</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mma.3919" target="_blank" >10.1002/mma.3919</a>

Result language
angličtina
Original language name
Stability and periodic investigations of linear planar difference systems
Original language description
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.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GAP201%2F11%2F0768" target="_blank" >GAP201/11/0768: Qualitative properties of solutions of differential equations and their applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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