Scaling properties for a family of discontinuous mappings
dc.contributor.author | Méndez-Bermúdez, J. A. | |
dc.contributor.author | De Oliveira, Juliano A. [UNESP] | |
dc.contributor.author | Aguilar-Sánchez, R. | |
dc.contributor.author | Leonel, Edson D. [UNESP] | |
dc.contributor.institution | Instituto de Física, Benemérita Universidad Autónoma de Puebla | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.contributor.institution | Facultad de Ciencias Químicas, Benemérita Universidad Autónoma de Puebla | |
dc.contributor.institution | Abdus Salam International Center for Theoretical Physics | |
dc.date.accessioned | 2018-12-11T16:38:52Z | |
dc.date.available | 2018-12-11T16:38:52Z | |
dc.date.issued | 2015-07-21 | |
dc.description.abstract | Scaling exponents that describe a transition from integrability to non-integrability in a family of two-dimensional, nonlinear, and discontinuous mappings are obtained. The mapping considered is parameterized by the exponent γ in the action variable. The scaling exponents describing the behavior of the average square action along the chaotic orbits are obtained for different values of γ; therefore classes of universality can be defined. For specific values of γ our mapping acts as the discontinuous-map representation of well-known nonlinear systems, thus making our study broadly applicable. Also, the formalism used is general and the procedure can be extended to characterize many other dynamical systems. | en |
dc.description.affiliation | Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48 | |
dc.description.affiliation | UNESP - Univ Estadual Paulista, São João da Boa Vista, Câmpus São João da Boa Vista | |
dc.description.affiliation | Facultad de Ciencias Químicas, Benemérita Universidad Autónoma de Puebla | |
dc.description.affiliation | Departamento de Física, UNESP - Univ Estadual Paulista, Av. 24A, 1515 Bela Vista | |
dc.description.affiliation | Abdus Salam International Center for Theoretical Physics, Strada Costiera 11 | |
dc.description.affiliationUnesp | UNESP - Univ Estadual Paulista, São João da Boa Vista, Câmpus São João da Boa Vista | |
dc.description.affiliationUnesp | Departamento de Física, UNESP - Univ Estadual Paulista, Av. 24A, 1515 Bela Vista | |
dc.format.extent | 943-951 | |
dc.identifier | http://dx.doi.org/10.1016/j.physa.2015.05.035 | |
dc.identifier.citation | Physica A: Statistical Mechanics and its Applications, v. 436, p. 943-951. | |
dc.identifier.doi | 10.1016/j.physa.2015.05.035 | |
dc.identifier.file | 2-s2.0-84937596747.pdf | |
dc.identifier.issn | 0378-4371 | |
dc.identifier.scopus | 2-s2.0-84937596747 | |
dc.identifier.uri | http://hdl.handle.net/11449/167921 | |
dc.language.iso | eng | |
dc.relation.ispartof | Physica A: Statistical Mechanics and its Applications | |
dc.relation.ispartofsjr | 0,773 | |
dc.rights.accessRights | Acesso aberto | |
dc.source | Scopus | |
dc.subject | Discontinuous function | |
dc.subject | Nonlinear map | |
dc.subject | Scaling laws | |
dc.title | Scaling properties for a family of discontinuous mappings | en |
dc.type | Artigo |
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