Publication: Study of the q-Gaussian distribution with the scale index and calculating entropy by normalized inner scalogram
dc.contributor.coauthor | Akilli, Mahmut | |
dc.contributor.coauthor | Akdeniz, K. Gediz | |
dc.contributor.department | Department of Physics | |
dc.contributor.kuauthor | Yılmaz, Nazmi | |
dc.contributor.schoolcollegeinstitute | College of Sciences | |
dc.date.accessioned | 2024-11-09T23:42:58Z | |
dc.date.issued | 2019 | |
dc.description.abstract | In 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.indexedby | WOS | |
dc.description.indexedby | Scopus | |
dc.description.issue | 11 | |
dc.description.openaccess | NO | |
dc.description.publisherscope | International | |
dc.description.sponsoredbyTubitakEu | N/A | |
dc.description.volume | 383 | |
dc.identifier.doi | 10.1016/j.physleta.2019.01.018 | |
dc.identifier.eissn | 1873-2429 | |
dc.identifier.issn | 0375-9601 | |
dc.identifier.scopus | 2-s2.0-85060315670 | |
dc.identifier.uri | https://doi.org/10.1016/j.physleta.2019.01.018 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14288/13415 | |
dc.identifier.wos | 463127000005 | |
dc.keywords | Q-Gaussian distribution | |
dc.keywords | The scale index | |
dc.keywords | The Boltzmann Gibbs and Tsallis entropy | |
dc.keywords | The normalized inner scalogram | |
dc.keywords | Wavelet analysis | |
dc.keywords | The maximum entropy principle tool | |
dc.language.iso | eng | |
dc.publisher | Elsevier | |
dc.relation.ispartof | Physics Letters A | |
dc.subject | Physics | |
dc.title | Study of the q-Gaussian distribution with the scale index and calculating entropy by normalized inner scalogram | |
dc.type | Journal Article | |
dspace.entity.type | Publication | |
local.contributor.kuauthor | Yılmaz, Nazmi | |
local.publication.orgunit1 | College of Sciences | |
local.publication.orgunit2 | Department of Physics | |
relation.isOrgUnitOfPublication | c43d21f0-ae67-4f18-a338-bcaedd4b72a4 | |
relation.isOrgUnitOfPublication.latestForDiscovery | c43d21f0-ae67-4f18-a338-bcaedd4b72a4 | |
relation.isParentOrgUnitOfPublication | af0395b0-7219-4165-a909-7016fa30932d | |
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