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Detection of quasi-periodic processes in complex systems: how do we quantitativ...
Nigmatullin, Raoul R.; Khamzin, Airat A.; Machado, J. A. TenreiroIt has been shown that in reality at least two general scenarios of data structuring are possible: (a) a self-similar (SS) scenario when the measured data form an SS structure and (b) a quasi-periodic (QP) scenario when the repeated (strongly correlated) data form random sequences that are almost periodic with respect to each other. In the second case it becomes possible to describe their behavior and express a...
Self-similarity principle: the reduced description of randomness
Nigmatullin, Raoul R.; Machado, J. A. Tenreiro; Menezes, RuiA new general fitting method based on the Self-Similar (SS) organization of random sequences is presented. The proposed analytical function helps to fit the response of many complex systems when their recorded data form a self-similar curve. The verified SS principle opens new possibilities for the fitting of economical, meteorological and other complex data when the mathematical model is absent but the reduced...
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