Introduction to Two Dimensional Mappings

Detalhes bibliográficos
Autor(a) principal: Leonel, Edson Denis [UNESP]
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_5
http://hdl.handle.net/11449/233482
Resumo: This chapter is dedicated to the introduction of two dimensional mappings. We start with a discussion of two dimensional linear mappings obtaining their fixed points and discussing their stability. Then we introduce two dimensional nonlinear mappings and discuss how to obtain the fixed points and characterize their stability by using the linearised equations. We also present an algorithm to obtain the Lyapunov exponents. At the end we discuss two examples of well known mappings.
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spelling Introduction to Two Dimensional MappingsThis chapter is dedicated to the introduction of two dimensional mappings. We start with a discussion of two dimensional linear mappings obtaining their fixed points and discussing their stability. Then we introduce two dimensional nonlinear mappings and discuss how to obtain the fixed points and characterize their stability by using the linearised equations. We also present an algorithm to obtain the Lyapunov exponents. At the end we discuss two examples of well known mappings.Departmamento de Física Sao Paulo State UniversityDepartmamento de Física Sao Paulo State UniversityUniversidade Estadual Paulista (UNESP)Leonel, Edson Denis [UNESP]2022-05-01T08:45:04Z2022-05-01T08:45:04Z2021-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookPart57-67http://dx.doi.org/10.1007/978-981-16-3544-1_5Nonlinear Physical Science, p. 57-67.1867-84591867-8440http://hdl.handle.net/11449/23348210.1007/978-981-16-3544-1_52-s2.0-85114298887Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNonlinear Physical Scienceinfo:eu-repo/semantics/openAccess2022-05-01T08:45:04Zoai:repositorio.unesp.br:11449/233482Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:27:47.992897Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Introduction to Two Dimensional Mappings
title Introduction to Two Dimensional Mappings
spellingShingle Introduction to Two Dimensional Mappings
Leonel, Edson Denis [UNESP]
title_short Introduction to Two Dimensional Mappings
title_full Introduction to Two Dimensional Mappings
title_fullStr Introduction to Two Dimensional Mappings
title_full_unstemmed Introduction to Two Dimensional Mappings
title_sort Introduction to Two Dimensional Mappings
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 This chapter is dedicated to the introduction of two dimensional mappings. We start with a discussion of two dimensional linear mappings obtaining their fixed points and discussing their stability. Then we introduce two dimensional nonlinear mappings and discuss how to obtain the fixed points and characterize their stability by using the linearised equations. We also present an algorithm to obtain the Lyapunov exponents. At the end we discuss two examples of well known mappings.
publishDate 2021
dc.date.none.fl_str_mv 2021-01-01
2022-05-01T08:45:04Z
2022-05-01T08:45:04Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/bookPart
format bookPart
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1007/978-981-16-3544-1_5
Nonlinear Physical Science, p. 57-67.
1867-8459
1867-8440
http://hdl.handle.net/11449/233482
10.1007/978-981-16-3544-1_5
2-s2.0-85114298887
url http://dx.doi.org/10.1007/978-981-16-3544-1_5
http://hdl.handle.net/11449/233482
identifier_str_mv Nonlinear Physical Science, p. 57-67.
1867-8459
1867-8440
10.1007/978-981-16-3544-1_5
2-s2.0-85114298887
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Nonlinear Physical Science
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 57-67
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_ 1808129322850975744

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