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Statements

Subject Item
n2:RIV%2F00216305%3A26220%2F14%3APR28044%21RIV15-MSM-26220___
rdf:type
skos:Concept n16:Vysledek
rdfs:seeAlso
http://matika.umat.feec.vutbr.cz/software/maplenet/diffEqPCAsys.html
dcterms:description
Differential equations with piecewise constant argument describe various phenomena, e.g., in biology, mechanics and electronics. Here we study a special case of these equations, namely, a system of equations of the form u1'=F1([t],u1([t]),u2([t]))+g1(t), u2'=F2([t],u1([t]),u2([t]))+g2(t), where [t] stands for the greatest integer function and F1, F2, g1 and g2 are continuous functions. Our program is designed to find the solution of such system on the interval [t0, t0+n] if the initial condition u1(t0)=u10, u2(t0)=u20 is given. The solution is found stepwise - on each interval [t0+i-1, t0+i], i=1,...,n, separately. The values of the solution at chosen points can be computed. Further, the graph of the can be shown - the user can choose between several types of graphs (u1 or/and u2 in 2D, a 3D curve or a phase portrait). Differential equations with piecewise constant argument describe various phenomena, e.g., in biology, mechanics and electronics. Here we study a special case of these equations, namely, a system of equations of the form u1'=F1([t],u1([t]),u2([t]))+g1(t), u2'=F2([t],u1([t]),u2([t]))+g2(t), where [t] stands for the greatest integer function and F1, F2, g1 and g2 are continuous functions. Our program is designed to find the solution of such system on the interval [t0, t0+n] if the initial condition u1(t0)=u10, u2(t0)=u20 is given. The solution is found stepwise - on each interval [t0+i-1, t0+i], i=1,...,n, separately. The values of the solution at chosen points can be computed. Further, the graph of the can be shown - the user can choose between several types of graphs (u1 or/and u2 in 2D, a 3D curve or a phase portrait).
dcterms:title
System of differential equations with piecewise constant argument System of differential equations with piecewise constant argument
skos:prefLabel
System of differential equations with piecewise constant argument System of differential equations with piecewise constant argument
skos:notation
RIV/00216305:26220/14:PR28044!RIV15-MSM-26220___
n3:aktivita
n19:S
n3:aktivity
S
n3:dodaniDat
n10:2015
n3:domaciTvurceVysledku
n8:7453256 n8:5443180
n3:druhVysledku
n14:R
n3:duvernostUdaju
n9:S
n3:ekonomickeParametry
Ekonomické parametry (zvýšení zisku, objemu výroby apod.) prozatím nejsou známy. Jedná se o software využitelný v různých projektech aplikovaném výzkumu.
n3:entitaPredkladatele
n13:predkladatel
n3:idSjednocenehoVysledku
49134
n3:idVysledku
RIV/00216305:26220/14:PR28044
n3:interniIdentifikace
diffEqPCAsys
n3:jazykVysledku
n12:eng
n3:klicovaSlova
differential equation, piecewise constant argument
n3:klicoveSlovo
n6:differential%20equation n6:piecewise%20constant%20argument
n3:kontrolniKodProRIV
[4659EF768852]
n3:licencniPoplatek
n17:N
n3:obor
n15:BA
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:rokUplatneniVysledku
n10:2014
n3:technickeParametry
Software je spouštěn ze serveru UMAT FEKT VUT v Brně prostřednictvím internetového prohlížeče. Na klientském PC je nutné mít nainstalovánu Javu. Podmínkou spuštění softwaru je přístup k serveru UMAT FEKT VUT prostřednictvím WWW - ten není omezován, takže software může využívat libovolná vědecká nebo výzkumná instituce.
n3:tvurceVysledku
Klimešová, Marie Hlavičková, Irena
n3:vlastnik
n13:vlastnikVysledku
n3:vyuzitiJinymSubjektem
n4:A
n11:organizacniJednotka
26220