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Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain


Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

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Non-Orthogonal Amplitude-Frequency Analysis of the Smoothed Signals(NAFASS): Dynamics and the Fine Structure of the Sunspots

Journal of Applied Nonlinear Dynamics 4(1) (2015) 67--80 | DOI:10.5890/JAND.2015.03.006

Nigmatullin R.R; Toboev V.A.

$^{1}$ Kazan National Research Technical University (KNRTU-KAI), Kazan, Tatarstan, Russia,

$^{2}$ Department of Mathematics, Chuvash State University, Cheboksary, Russian Federation

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The basic aim of the given paper is presentation of the basic principles of the new method defined as Non-orthogonal Amplitude Frequency Analysis of the Smoothed Signals (NAFASS). The new method is based on linear principle for the strongly-correlated variables and presentation of nonlinear signals. We demonstrate the possibilities of the NAFASS approach on analysis of real data related to dynamics and the fine structure of the Solar activity


This research is realized in the frame of the program accepted as a basic part of the state enumeration of the problems that are contained in the list of the Ministry of Education and Science of the Russian Federation. One of us (RRN) wants to note that this problem enters as a basic component of the R&D joint-lab program organized between the Jinan University (Guangzhou, PRC) and Kazan National Research Technical University (KNRTU-KAI, Kazan, Russian Federation).


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