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Regular dynamics in a quadratic model

Uygun JamilovDepartment of Mathematics New Uzbekistan University Tashkent Uzbekistan
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In the present paper, we consider a convex combination of non‐Volterra quadratic stochastic operators defined on a finite‐dimensional simplex depending on a parameter and study their trajectory behaviors. We showed that in the case depending on the parameter and an initial point, the trajectories of such operator converge to a fixed point. For , any trajectory of the operator converges to the center of the simplex.

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Koʻrsatkichlar — AkademScholar · Tez orada