Publication:
Study of the q-Gaussian distribution with the scale index and calculating entropy by normalized inner scalogram

dc.contributor.coauthorAkilli, Mahmut
dc.contributor.coauthorAkdeniz, K. Gediz
dc.contributor.departmentDepartment of Physics
dc.contributor.kuauthorYılmaz, Nazmi
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T23:42:58Z
dc.date.issued2019
dc.description.abstractIn this paper, we discuss a method based on wavelet analysis for the study of the q-index of the Gaussian distribution. We derive q-index from the scale index, i(scale). using the expression; q Xi 1 + 2i(scale) where i scale is a wavelet based tool for measuring the degree of aperiodicity of a dynamical system in the range of O <= i(scale) <= 1. We show that this expression gives consistent results with the numerical approach of q-Gaussian distribution which determines the degree of non-extensivity of a dynamical system in the range of 1 < q < 3. We also suggest a new entropy calculation method based on the normalized inner scalogram for studying the chaotic characteristics of nonlinear dynamical systems.
dc.description.indexedbyWOS
dc.description.indexedbyScopus
dc.description.issue11
dc.description.openaccessNO
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.volume383
dc.identifier.doi10.1016/j.physleta.2019.01.018
dc.identifier.eissn1873-2429
dc.identifier.issn0375-9601
dc.identifier.scopus2-s2.0-85060315670
dc.identifier.urihttps://doi.org/10.1016/j.physleta.2019.01.018
dc.identifier.urihttps://hdl.handle.net/20.500.14288/13415
dc.identifier.wos463127000005
dc.keywordsQ-Gaussian distribution
dc.keywordsThe scale index
dc.keywordsThe Boltzmann Gibbs and Tsallis entropy
dc.keywordsThe normalized inner scalogram
dc.keywordsWavelet analysis
dc.keywordsThe maximum entropy principle tool
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofPhysics Letters A
dc.subjectPhysics
dc.titleStudy of the q-Gaussian distribution with the scale index and calculating entropy by normalized inner scalogram
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorYılmaz, Nazmi
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Physics
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