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电信和无线电工程
SJR: 0.203 SNIP: 0.44 CiteScore™: 1

ISSN 打印: 0040-2508
ISSN 在线: 1943-6009

卷:
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电信和无线电工程

DOI: 10.1615/TelecomRadEng.v77.i18.50
pages 1631-1637

PHYSICAL AND MATHEMATICAL FOUNDATIONS OF MEASUREMENTS IN NONLINEAR DYNAMIC SYSTEMS

Yu. P. Machekhin
Kharkiv National University of Radio Electronics, 14 Nauka Ave, Kharkiv 61166, Ukraine
Yu. S. Kurskoy
Kharkiv National University of Radio Electronics, 14 Nauka Ave, Kharkiv 61166, Ukraine
A. S. Gnatenko
Kharkiv National University of Radio Electronics, 14 Nauka Ave, Kharkiv 61166, Ukraine

ABSTRACT

Physical and mathematical bases of measurements in physical non-linear dynamical systems are formulated. Physical properties, common to different systems, include: interval physical values; different modes of dynamics (including chaotic); strong dependence on the initial conditions; exposure to noise. We have used mathematical tools and methods of the dynamic chaos theory, open systems theory, fractal analysis: intervals of quantities values, fractal dimension, predictability time, model equation and others. New results and models are important for creating lasers with high stabilization of characteristics and practical application of solitons.


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