KOMPLEKS TEKISLIKDA BIRLIK AYLANANING KO‘PHAD OSTIDA INVARIANTLIGI
DOI:
https://doi.org/10.5281/zenodo.19812812Abstract
Kompleks dinamik sistemalar tushunchasi kompleks analizning asosiy yo‘nalishlaridan biri bo‘lib, u ko‘p yillar davomida rivojlanib kelmoqda. Ko‘plab matematiklar kompleks dinamik sistemalar bilan shug‘ullangan va hozirgi kunda ham ushbu soha kengayishda davom etmoqda. Kompleks dinamik sistemalar ko‘plab amaliy tadbiqlarga ega. Gaston Julia, Pierre Fatou, shuningdek John Milnor va boshqa ko‘plab olimlar ushbu sohaning rivojlanishiga katta hissa qo‘shganlar. Kompleks dinamik sistemalarda invariant to‘plam tushunchasi muhim ahamiyatga ega. Agar markazi koordinata boshida bo‘lgan birlik aylana ko‘phad ostida oldinga invariant bo‘lsa, ko‘phadning qanday ko‘rinishda ekanligini quyida keltirilgan teoremadan bilish mumkin.
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