Two-dimensional nonlinear map characterized by tunable Lévy flights
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevE.90.042138 http://hdl.handle.net/11449/167693 |
Resumo: | After recognizing that point particles moving inside the extended version of the rippled billiard perform Lévy flights characterized by a Lévy-type distribution P(l)∼l-(1+α) with α=1, we derive a generalized two-dimensional nonlinear map Mα able to produce Lévy flights described by P(l) with 0<α<2. Due to this property, we call Mα the Lévy map. Then, by applying Chirikov's overlapping resonance criteria, we are able to identify the onset of global chaos as a function of the parameters of the map. With this, we state the conditions under which the Lévy map could be used as a Lévy pseudorandom number generator and furthermore confirm its applicability by computing scattering properties of disordered wires. |
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Two-dimensional nonlinear map characterized by tunable Lévy flightsNonlinear mapAfter recognizing that point particles moving inside the extended version of the rippled billiard perform Lévy flights characterized by a Lévy-type distribution P(l)∼l-(1+α) with α=1, we derive a generalized two-dimensional nonlinear map Mα able to produce Lévy flights described by P(l) with 0<α<2. Due to this property, we call Mα the Lévy map. Then, by applying Chirikov's overlapping resonance criteria, we are able to identify the onset of global chaos as a function of the parameters of the map. With this, we state the conditions under which the Lévy map could be used as a Lévy pseudorandom number generator and furthermore confirm its applicability by computing scattering properties of disordered wires.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48UNESP - Univ Estadual Paulista, Campus São João da Boa Vista, São João da Boa VistaDepartamento de Física, UNESP - Univ Estadual Paulista, Avenida 24A, 1515 Bela VistaUNESP - Univ Estadual Paulista, Campus São João da Boa Vista, São João da Boa VistaDepartamento de Física, UNESP - Univ Estadual Paulista, Avenida 24A, 1515 Bela VistaInstituto de Física, Benemérita Universidad Autónoma de PueblaUniversidade Estadual Paulista (Unesp)Méndez-Bermúdez, J. A.De Oliveira, Juliano A. [UNESP]Leonel, Edson D. [UNESP]2018-12-11T16:37:57Z2018-12-11T16:37:57Z2014-10-27info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1103/PhysRevE.90.042138Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 90, n. 4, 2014.1550-23761539-3755http://hdl.handle.net/11449/16769310.1103/PhysRevE.90.0421382-s2.0-849084397992-s2.0-84908439799.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review E - Statistical, Nonlinear, and Soft Matter Physicsinfo:eu-repo/semantics/openAccess2023-10-08T06:05:07Zoai:repositorio.unesp.br:11449/167693Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:19:39.555701Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Two-dimensional nonlinear map characterized by tunable Lévy flights |
title |
Two-dimensional nonlinear map characterized by tunable Lévy flights |
spellingShingle |
Two-dimensional nonlinear map characterized by tunable Lévy flights Méndez-Bermúdez, J. A. Nonlinear map |
title_short |
Two-dimensional nonlinear map characterized by tunable Lévy flights |
title_full |
Two-dimensional nonlinear map characterized by tunable Lévy flights |
title_fullStr |
Two-dimensional nonlinear map characterized by tunable Lévy flights |
title_full_unstemmed |
Two-dimensional nonlinear map characterized by tunable Lévy flights |
title_sort |
Two-dimensional nonlinear map characterized by tunable Lévy flights |
author |
Méndez-Bermúdez, J. A. |
author_facet |
Méndez-Bermúdez, J. A. De Oliveira, Juliano A. [UNESP] Leonel, Edson D. [UNESP] |
author_role |
author |
author2 |
De Oliveira, Juliano A. [UNESP] Leonel, Edson D. [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Instituto de Física, Benemérita Universidad Autónoma de Puebla Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Méndez-Bermúdez, J. A. De Oliveira, Juliano A. [UNESP] Leonel, Edson D. [UNESP] |
dc.subject.por.fl_str_mv |
Nonlinear map |
topic |
Nonlinear map |
description |
After recognizing that point particles moving inside the extended version of the rippled billiard perform Lévy flights characterized by a Lévy-type distribution P(l)∼l-(1+α) with α=1, we derive a generalized two-dimensional nonlinear map Mα able to produce Lévy flights described by P(l) with 0<α<2. Due to this property, we call Mα the Lévy map. Then, by applying Chirikov's overlapping resonance criteria, we are able to identify the onset of global chaos as a function of the parameters of the map. With this, we state the conditions under which the Lévy map could be used as a Lévy pseudorandom number generator and furthermore confirm its applicability by computing scattering properties of disordered wires. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-10-27 2018-12-11T16:37:57Z 2018-12-11T16:37:57Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1103/PhysRevE.90.042138 Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 90, n. 4, 2014. 1550-2376 1539-3755 http://hdl.handle.net/11449/167693 10.1103/PhysRevE.90.042138 2-s2.0-84908439799 2-s2.0-84908439799.pdf |
url |
http://dx.doi.org/10.1103/PhysRevE.90.042138 http://hdl.handle.net/11449/167693 |
identifier_str_mv |
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, v. 90, n. 4, 2014. 1550-2376 1539-3755 10.1103/PhysRevE.90.042138 2-s2.0-84908439799 2-s2.0-84908439799.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128347880816640 |