Reduced fractal model for quantitative analysis of averaged micromotions in mesoscale: Characterization of blow-like signals

Raoul R. Nigmatullin, Vyacheslav A. Toboev, Paolo Lino and Guido Maione

Chaos, Solitons & Fractals, 2015, vol. 76, issue C, 166-181

Abstract: It has been shown that many micromotions in the mesoscale region are averaged in accordance with their self-similar (geometrical/dynamical) structure. This distinctive feature helps to reduce a wide set of different micromotions describing relaxation/exchange processes to an averaged collective motion, expressed mathematically in a rather general form. This reduction opens new perspectives in description of different blow-like signals (BLS) in many complex systems. The main characteristic of these signals is a finite duration also when the generalized reduced function is used for their quantitative fitting. As an example, we describe quantitatively available signals that are generated by bronchial asthmatic people, songs by queen bees, and car engine valves operating in the idling regime.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:76:y:2015:i:c:p:166-181

DOI: 10.1016/j.chaos.2015.03.022

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