Chaotic sub-dynamics in coupled logistic maps

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F16%3A86098606" target="_blank" >RIV/61989100:27240/16:86098606 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27740/16:86098606
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0167278916303116?np=y" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0167278916303116?np=y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.physd.2016.06.010" target="_blank" >10.1016/j.physd.2016.06.010</a>

Result language
angličtina
Original language name
Chaotic sub-dynamics in coupled logistic maps
Original language description
We study the dynamics of Laplacian-type coupling induced by logistic family f(mu)(x) = mu x(1 - x), where mu is an element of [0, 4], on a periodic lattice, that is the dynamics of maps of the form F(x, y) = ((1 - epsilon)f(mu)(x) + epsilon f(mu)(y), (1 - epsilon)f(mu) (y) + epsilon f(mu)(x)) where epsilon > 0 determines strength of coupling. Our main objective is to analyze the structure of attractors in such systems and especially detect invariant regions with nontrivial dynamics outside the diagonal. In analytical way, we detect some regions of parameters for which a horseshoe is present; and using simulations global attractors and invariant sets are depicted.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</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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