P-ADIK RATSIONAL DINAMIK SISTEMALAR
Hamidov Sherali Shirinovich Buxoro davlat pedagogika institute o’qituvchisi
Ключевые слова:
Ratsional dinamik sistemalar; qo`zg‘almas nuqta; invariant to’plam; Siegel disk; р-adik kompleks sonlar maydoni.Аннотация
Ishni bajarishda matematik analiz, kompleks analiz va p-adik analiz usullaridan foydalanildi. Р-Adik kompleks sonlar maydoni ustida berilgan diskret vaqtli dinamik sistemalar nazariyasini o’rganish va ularni qo’llab:
• a/(x^2+1) –ratsional funksiya qo’zg’almas nuqtalarini topish;
• Qo’zg’almas nuqta yagona bo’lgan holda bu qo’zg’almas nuqtaning xarakteriga mos ravishda dinamikani tadqiq etish;
• Qo’zg’almas nuqta mavjud bo’lmagan holda davriy nuqtalarni topish va bu davriy nuqtalarning xarakteriga mos ravishda dinamikani tadqiq etish.
Maqola natijalari р-adik ratsional funksiyalar bir sinfi uchun diskret dinamik sistemalari nazariyasini rivojlantirishda qo’llaniladi.Natijalarining amaliy ahamiyati telekomunikatsiyaning ba’zi masalalarini va raqamli tahlil hamda kriptografiyada qo’llash imkoniyati bilan izohlanadi. Asosiy natijalar nazariy xarakterga ega. Matematikaning turdosh sohalari va biologik va fizik sistemalar dinamikasini o’rganishda qo’llanadi.
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