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dc.contributor.author
Masoller, Cristina
dc.contributor.author
Rosso, Osvaldo Anibal
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dc.date.available
2023-03-23T15:41:58Z
dc.date.issued
2011-02
dc.identifier.citation
Masoller, Cristina; Rosso, Osvaldo Anibal; Quantifying the complexity of the delayed logistic map; The Royal Society; Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences; 369; 1935; 2-2011; 425-438
dc.identifier.issn
1471-2962
dc.identifier.uri
http://hdl.handle.net/11336/191615
dc.description.abstract
Statistical complexity measures are used to quantify the degree of complexity of the delayed logistic map, with linear and nonlinear feedback. We employ two methods for calculating the complexity measures, one with the 'histogram-based' probability distribution function and the other one with ordinal patterns. We show that these methods provide complementary information about the complexity of the delay-induced dynamics: there are parameter regions where the histogram-based complexity is zero while the ordinal pattern complexity is not, and vice versa. We also show that the time series generated from the nonlinear delayed logistic map can present zero missing or forbidden patterns, i.e. all possible ordinal patterns are realized into orbits.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
The Royal Society
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
COMPLEXITY
dc.subject
NONLINEAR DYNAMICS
dc.subject
TIME-DELAYED SYSTEMS
dc.subject
TIME-SERIES ANALYSIS
dc.subject.classification
Otras Ciencias Físicas
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Quantifying the complexity of the delayed logistic map
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-03-23T12:34:44Z
dc.identifier.eissn
1364-503X
dc.journal.volume
369
dc.journal.number
1935
dc.journal.pagination
425-438
dc.journal.pais
Reino Unido
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dc.journal.ciudad
Londres
dc.description.fil
Fil: Masoller, Cristina. Universidad Politécnica de Catalunya; España
dc.description.fil
Fil: Rosso, Osvaldo Anibal. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidade Federal de Minas Gerais; Brasil. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Cálculo; Argentina
dc.journal.title
Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://royalsocietypublishing.org/doi/10.1098/rsta.2010.0281
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1098/rsta.2010.0281
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