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V knige predstavleny pervye rezul'taty razvitiya teorii izmereniy, svyazannye s postroeniem modeli izmereniy v sil'no nelineynykh dinamicheskikh sistemakh, povedenie kotorykh mozhet opisyvat'sya dinamicheskim khaosom. Neobkhodimost' v razvitie teorii izmereniy v takom neobychnom napravlenii svyazana s vostrebovannost'yu v rezul'tatakh izmereniy v nelineynykh dinamicheskikh sistemakh takikh kak sotsial'nye, ekonomicheskie i biologicheskie sistemy. V knige pokazano, chto dlya obespecheniya analiza rezul'tatov izmereniy, poluchennykh v usloviyakh dinamicheskogo khaosa, neobkhodimo primenyat' novye matematicheskiy apparat, uchityvayushchiy slozhnyy protsess vliyaniya nelineynogo povedeniya dinamicheskoy sisteme na rezul'taty izmereniy. Dlya kolichestvennoy otsenki vliyaniya nelineynogo povedeniya sistemy na rezul'taty izmereniy predlozheno ispol'zovat' fraktal'nyy analiz. Vvedeny takie ponyatiya, kak fraktal'naya i fraktal'no-entoropiynaya shkaly.
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