The dynamics of piecewise-continuous Volterra QSO on S2
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Ushbu maqolada ikki o‘lchamli S2 simpleksda aniqlangan bo‘lakli-uzluksiz Volterra tipidagi
kvadratik stoxastik operatorlar (KSO) sinfi o‘rganiladi. Operator simpleksning kesishmaydigan
to‘plamlarida aniqlanuvchi ikkita V1 va V2 Volterra operatorlari bilan ta’riflanadi. Turli
parametrlar qiymatlari uchun ushbu operatorlarning qo‘zg‘almas nuqtalari tavsiflanadi va ularning
trayektoriyalarining assimptotik xarakterlari tahlil qilinadi. Xususan, ma’lum bir parametr
qiymatlarida simpleksning har qanday ichki nuqtasi uchun trayektoriyaning limit nuqtalari to‘plami
simpleks chegarasida joylashishini va a = b = c 6= 0 holatda barcha trajektoriyalar (1; 0; 0) qirraga
yaqinlashishini isbotlaymiz
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