About: Criticality and long-range correlations in time series in classical and quantum systems

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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
rdfs:seeAlso	http://pre.aps.org/pdf/PRE/v84/i1/e016224
Description	We present arguments which indicate that a transitional state in between two different regimes implies the occurrence of 1/f time series and that this property is generic in both classical and quantum systems. Our study focuses on two particular examples: the one-dimensional module-1 logistic map and nuclear excitation spectra obtained with a schematic shell-model Hamiltonian. We suggest that a transitional point is characterized by the long-range correlations implied by 1/f time series. We apply a Fourier spectral analysis and the detrended fluctuation analysis method to study the fluctuations to each system. We present arguments which indicate that a transitional state in between two different regimes implies the occurrence of 1/f time series and that this property is generic in both classical and quantum systems. Our study focuses on two particular examples: the one-dimensional module-1 logistic map and nuclear excitation spectra obtained with a schematic shell-model Hamiltonian. We suggest that a transitional point is characterized by the long-range correlations implied by 1/f time series. We apply a Fourier spectral analysis and the detrended fluctuation analysis method to study the fluctuations to each system. (en)
Title	Criticality and long-range correlations in time series in classical and quantum systems Criticality and long-range correlations in time series in classical and quantum systems (en)
skos:prefLabel	Criticality and long-range correlations in time series in classical and quantum systems Criticality and long-range correlations in time series in classical and quantum systems (en)
skos:notation	RIV/00216208:11320/11:10105599!RIV12-GA0-11320___
http://linked.open...avai/predkladatel	Matematicko-fyzikální fakulta
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA202/09/0084), Z(MSM0021620859)
http://linked.open...iv/cisloPeriodika	july
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Stránský, 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	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	192287
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/11:10105599
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	scale invariance; 1/f noise; quantum chaos; classical chaos; time series analysis; long-range correlations; criticality (en)
http://linked.open.../riv/klicoveSlovo	1/f noise classical chaos criticality long-range correlations quantum chaos scale invariance time series analysis
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[DE709B27B0E7]
http://linked.open...i/riv/nazevZdroje	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	7 (xsd:int)
http://linked.open...vavai/riv/projekt	Collective phenomena in interacting many-body systems
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	84
http://linked.open...iv/tvurceVysledku	Fossion, Ruben Frank, Alejandro Landa, Emmanuel López Vieyra, Juan Carlos Morales, Irving Stránský, Pavel Velázquez, Víctor
http://linked.open...ain/vavai/riv/wos	000293454200003
http://linked.open...n/vavai/riv/zamer	Výzkum vlastností jader a subjaderných částic a jejich interakcí
issn	1539-3755
number of pages	5 (xsd:int)
http://bibframe.org/vocab/doi	10.1103/PhysRevE.84.016224
http://localhost/t...ganizacniJednotka	11320
is http://linked.open...avai/riv/vysledek of	Criticality and long-range correlations in time series in classical and quantum systems Criticality and long-range correlations in time series in classical and quantum systems

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