Criterion of the relative degree of order for self-oscillating regimes: illustration of Klimontovich's S theorem

Vadim S. Anischenko; P. I. Saparin; Tatijana G. Anishchenko

doi:10.1117/12.175137

3 May 1994 Criterion of the relative degree of order for self-oscillating regimes: illustration of Klimontovich's S-theorem

Vadim S. Anischenko, P. I. Saparin, Tatijana G. Anishchenko

Author Affiliations +

Proceedings Volume 2098, Computer Simulation in Nonlinear Optics; (1994) https://doi.org/10.1117/12.175137
Event: Volga Laser Tour '93, 1993, Moscow, Russian Federation

Abstract

A new quantitative time-series characteristic is described and discussed. Power spectrum entropy renormolized to a given value of mean effective energy is used as a measure of relative degree of order of the time series. This criterion is tested for some well-known systems and phenomena. A perspective of this parameter used as a characteristic of system behavior is illustrated by way of application of this criterion to real signals analysis.

Citation Download Citation

Vadim S. Anischenko, P. I. Saparin, and Tatijana G. Anishchenko "Criterion of the relative degree of order for self-oscillating regimes: illustration of Klimontovich's S-theorem", Proc. SPIE 2098, Computer Simulation in Nonlinear Optics, (3 May 1994); https://doi.org/10.1117/12.175137

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