Bichromatic Travelling Waves for Lattice Nagumo Equations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F19%3A43955885" target="_blank" >RIV/49777513:23520/19:43955885 - isvavai.cz</a>
Result on the web
<a href="https://epubs.siam.org/doi/10.1137/18M1189221" target="_blank" >https://epubs.siam.org/doi/10.1137/18M1189221</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/18M1189221" target="_blank" >10.1137/18M1189221</a>
Alternative languages
Result language
angličtina
Original language name
Bichromatic Travelling Waves for Lattice Nagumo Equations
Original language description
We discuss bichromatic (two-color) front solutions to the bistable Nagumo lattice differential equation. Such fronts connect the stable spatially homogeneous equilibria with spatially heterogeneous 2-periodic equilibria and hence are not monotonic like the standard monochromatic fronts. We provide explicit criteria that can determine whether or not these fronts are stationary and show that the bichromatic fronts can travel in parameter regimes where the monochromatic fronts are pinned. The presence of these bichromatic waves allows the two stable homogeneous equilibria to spread out through the spatial domain towards each other, buffered by a shrinking intermediate zone in which the periodic pattern is visible.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/LO1506" target="_blank" >LO1506: Sustainability support of the centre NTIS - New Technologies for the Information Society</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS
ISSN
1536-0040
e-ISSN
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Volume of the periodical
18
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
42
Pages from-to
973-1014
UT code for WoS article
000473059700013
EID of the result in the Scopus database
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