AYLANADA DINAMIK BO‘LINISH VA UNING XOSSALARI
Аннотация
Mazkur maqolada aylanada dinamik bo‘linish tushunchasi va uning matematik asoslari tadqiq etiladi. Dinamik bo‘linish deganda aylana bo‘ylab harakatlanuvchi nuqtalar yoki tasodifiy (yoki deterministic) xaritalar natijasida yuzaga keladigan fazoviy segmentlar to‘plami tushuniladi. Bu turdagi bo‘linishlar orqali fazodagi harakatlar strukturalari, takrorlanishlar, invariant to‘plamlar va ularning davriylik xususiyatlari aniqlanadi. Ushbu tadqiqotlar topologik dinamik tizimlar nazariyasi doirasida muhim amaliy ahamiyatga ega bo‘lib, matematik modellash, fizik jarayonlar va kriptografiyada qo‘llanilishi mumkin.
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