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Application of the linear principle for the strongly-correlated variables: Calculations of differences between spectra

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dc.contributor.author Nigmatullin, Raoul R.
dc.contributor.author Popov, I. I.
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Dinç, Erdal
dc.contributor.author Solak, A. U.
dc.contributor.author Ekşi, H.
dc.contributor.author Güzel, R.
dc.date.accessioned 2016-06-07T08:29:02Z
dc.date.available 2016-06-07T08:29:02Z
dc.date.issued 2011-10
dc.identifier.citation Nigmatullin, R.R...et al. (2011). Application of the linear principle for the strongly-correlated variables: Calculations of differences between spectra. Communications In Nonlinear Science And Numerical Simulation, 16(10), 4028-4036. http://dx.doi.org/10.1016/j.cnsns.2011.02.005 tr_TR
dc.identifier.issn 1007-5704
dc.identifier.uri http://hdl.handle.net/20.500.12416/1044
dc.description.abstract In this paper the authors suggest a new method of detection of possible differences between similar near infrared (NIR) spectra based on the self-similar (fractal) property. This property is a general characteristic that belongs to a wide class of the strongly-correlated systems. As an example we take a set of NIR spectra measured for three systems: (1) glassy carbon (GC) electrodes, (2) GC electrodes affected by azobenzene (AB) substance and finally (3) films (AB-FILM). Besides the physical model that should describe the intrinsic properties of these substances we found the fitting function that follow from the linear principle for the strongly-correlated variables. This function expressed in the form of linear combination of 4 power-law functions describes with the high accuracy the integrated curves that were obtained from the averaged values of the initially measured spectra. The nine fitting parameters can be considered as the quantitative "finger prints" for detection of the differences between similar spectra. Besides this result we established the self-similar behavior of the remnant functions. In other words, the difference between the initially integrated function and its fitting function can be expressed in the form of linear combinations of periodical functions having a set of frequencies following to relationship omega(k) = omega(0)xi(k), where the initial frequency omega(0) and scaling factor xi are determined by the eigen-coordinates method. This behavior in the NIR spectra was discovered in the first time and physical reasons of such behavior merit an additional research tr_TR
dc.language.iso eng tr_TR
dc.publisher Elsevier Science tr_TR
dc.relation.isversionof 10.1016/j.cnsns.2011.02.005 tr_TR
dc.rights info:eu-repo/semantics/closedAccess
dc.subject Azobenzene Modified Electrode tr_TR
dc.subject Nano-Film tr_TR
dc.subject Linear Principle Of The Strongly-Correlated Variables tr_TR
dc.subject Eigen-Coordinates Method tr_TR
dc.title Application of the linear principle for the strongly-correlated variables: Calculations of differences between spectra tr_TR
dc.type article tr_TR
dc.relation.journal Communications In Nonlinear Science And Numerical Simulation tr_TR
dc.contributor.authorID 6981 tr_TR
dc.identifier.volume 16 tr_TR
dc.identifier.issue 10 tr_TR
dc.identifier.startpage 4028 tr_TR
dc.identifier.endpage 4036 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü tr_TR


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