Some Dynamical Properties for the Logistic Map
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2021 |
| Tipo de documento: | Capítulo de livro |
| Idioma: | eng |
| Título da fonte: | Repositório Institucional da UNESP |
| Texto Completo: | http://dx.doi.org/10.1007/978-981-16-3544-1_3 http://hdl.handle.net/11449/233492 |
Resumo: | Some dynamical properties for the logistic map will be discussed in this chapter. We start with the convergence to the fixed point at and near at the bifurcations. We use a set of scaling hypotheses and a homogeneous and generalized function to obtain a scaling law relating the critical exponents. A short discussion also on the route to chaos via period doubling is presented leading to the Feigenbaum exponents. A discussion on the Lyapunov exponent calculation for one-dimensional mappings is presented. |
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Some Dynamical Properties for the Logistic MapSome dynamical properties for the logistic map will be discussed in this chapter. We start with the convergence to the fixed point at and near at the bifurcations. We use a set of scaling hypotheses and a homogeneous and generalized function to obtain a scaling law relating the critical exponents. A short discussion also on the route to chaos via period doubling is presented leading to the Feigenbaum exponents. A discussion on the Lyapunov exponent calculation for one-dimensional mappings is presented.Departmamento de Física Sao Paulo State UniversityDepartmamento de Física Sao Paulo State UniversityUniversidade Estadual Paulista (UNESP)Leonel, Edson Denis [UNESP]2022-05-01T08:45:06Z2022-05-01T08:45:06Z2021-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookPart29-43http://dx.doi.org/10.1007/978-981-16-3544-1_3Nonlinear Physical Science, p. 29-43.1867-84591867-8440http://hdl.handle.net/11449/23349210.1007/978-981-16-3544-1_32-s2.0-85114341280Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNonlinear Physical Scienceinfo:eu-repo/semantics/openAccess2022-05-01T08:45:06Zoai:repositorio.unesp.br:11449/233492Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-05-01T08:45:06Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
| dc.title.none.fl_str_mv |
Some Dynamical Properties for the Logistic Map |
| title |
Some Dynamical Properties for the Logistic Map |
| spellingShingle |
Some Dynamical Properties for the Logistic Map Leonel, Edson Denis [UNESP] |
| title_short |
Some Dynamical Properties for the Logistic Map |
| title_full |
Some Dynamical Properties for the Logistic Map |
| title_fullStr |
Some Dynamical Properties for the Logistic Map |
| title_full_unstemmed |
Some Dynamical Properties for the Logistic Map |
| title_sort |
Some Dynamical Properties for the Logistic Map |
| author |
Leonel, Edson Denis [UNESP] |
| author_facet |
Leonel, Edson Denis [UNESP] |
| author_role |
author |
| dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) |
| dc.contributor.author.fl_str_mv |
Leonel, Edson Denis [UNESP] |
| description |
Some dynamical properties for the logistic map will be discussed in this chapter. We start with the convergence to the fixed point at and near at the bifurcations. We use a set of scaling hypotheses and a homogeneous and generalized function to obtain a scaling law relating the critical exponents. A short discussion also on the route to chaos via period doubling is presented leading to the Feigenbaum exponents. A discussion on the Lyapunov exponent calculation for one-dimensional mappings is presented. |
| publishDate |
2021 |
| dc.date.none.fl_str_mv |
2021-01-01 2022-05-01T08:45:06Z 2022-05-01T08:45:06Z |
| dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/bookPart |
| format |
bookPart |
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publishedVersion |
| dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1007/978-981-16-3544-1_3 Nonlinear Physical Science, p. 29-43. 1867-8459 1867-8440 http://hdl.handle.net/11449/233492 10.1007/978-981-16-3544-1_3 2-s2.0-85114341280 |
| url |
http://dx.doi.org/10.1007/978-981-16-3544-1_3 http://hdl.handle.net/11449/233492 |
| identifier_str_mv |
Nonlinear Physical Science, p. 29-43. 1867-8459 1867-8440 10.1007/978-981-16-3544-1_3 2-s2.0-85114341280 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
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Nonlinear Physical Science |
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info:eu-repo/semantics/openAccess |
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openAccess |
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29-43 |
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Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
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Universidade Estadual Paulista (UNESP) |
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UNESP |
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UNESP |
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Repositório Institucional da UNESP |
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Repositório Institucional da UNESP |
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Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
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1803649433007554560 |