About: Analytical solution for a class of network dynamics with mechanical and financial applications

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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. (en)
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 (en)
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 (en)
skos:notation	RIV/67985840:_____/14:00433123!RIV15-GA0-67985840
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GAP201/10/2315)
http://linked.open...iv/cisloPeriodika	3
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Krejčí, Pavel
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	2894
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/14:00433123
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	network dynamics; hysteresis; discontinuous Prandtl-Ishlinskii model (en)
http://linked.open.../riv/klicoveSlovo	hysteresis network dynamics discontinuous Prandtl-Ishlinskii model
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[288093E5DA8B]
http://linked.open...i/riv/nazevZdroje	Physical Review. E
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Matematické modelování procesů v hysterézních materiálech
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	90
http://linked.open...iv/tvurceVysledku	Krejčí, Pavel Rachinskii, D. Lamba, H. Melnik, S.
http://linked.open...ain/vavai/riv/wos	000343760200018
issn	1539-3755
number of pages	12 (xsd:int)
http://bibframe.org/vocab/doi	10.1103/PhysRevE.90.032822

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