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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F14%3A00433123%21RIV15-GA0-67985840
rdf:type
skos:Concept n10:Vysledek
dcterms:description
We show that for a certain class of dynamics at the nodes the response of a network of any topology to arbitrary inputs is defined in a simple way by its response to a monotone input. The nodes may have either a discrete or continuous set of states and there is no limit on the complexity of the network. The results provide both an efficient numerical method and the potential for accurate analytic approximation of the dynamics on such networks. As illustrative applications, we introduce a quasistatic mechanical model with objects interacting via frictional forces and a financial market model with avalanches and critical behavior that are generated by momentum trading strategies. We show that for a certain class of dynamics at the nodes the response of a network of any topology to arbitrary inputs is defined in a simple way by its response to a monotone input. The nodes may have either a discrete or continuous set of states and there is no limit on the complexity of the network. The results provide both an efficient numerical method and the potential for accurate analytic approximation of the dynamics on such networks. As illustrative applications, we introduce a quasistatic mechanical model with objects interacting via frictional forces and a financial market model with avalanches and critical behavior that are generated by momentum trading strategies.
dcterms:title
Analytical solution for a class of network dynamics with mechanical and financial applications Analytical solution for a class of network dynamics with mechanical and financial applications
skos:prefLabel
Analytical solution for a class of network dynamics with mechanical and financial applications Analytical solution for a class of network dynamics with mechanical and financial applications
skos:notation
RIV/67985840:_____/14:00433123!RIV15-GA0-67985840
n3:aktivita
n11:I n11:P
n3:aktivity
I, P(GAP201/10/2315)
n3:cisloPeriodika
3
n3:dodaniDat
n17:2015
n3:domaciTvurceVysledku
n5:6410847
n3:druhVysledku
n9:J
n3:duvernostUdaju
n18:S
n3:entitaPredkladatele
n16:predkladatel
n3:idSjednocenehoVysledku
2894
n3:idVysledku
RIV/67985840:_____/14:00433123
n3:jazykVysledku
n6:eng
n3:klicovaSlova
network dynamics; hysteresis; discontinuous Prandtl-Ishlinskii model
n3:klicoveSlovo
n7:hysteresis n7:network%20dynamics n7:discontinuous%20Prandtl-Ishlinskii%20model
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[288093E5DA8B]
n3:nazevZdroje
Physical Review. E
n3:obor
n12:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
4
n3:projekt
n14:GAP201%2F10%2F2315
n3:rokUplatneniVysledku
n17:2014
n3:svazekPeriodika
90
n3:tvurceVysledku
Melnik, S. Krejčí, Pavel Lamba, H. Rachinskii, D.
n3:wos
000343760200018
s:issn
1539-3755
s:numberOfPages
12
n15:doi
10.1103/PhysRevE.90.032822