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l-Volterra Quadratic Stochastic Operators: Lyapunov Functions, Trajectories |
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PP: 329-335 |
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Author(s) |
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U.A. Rozikov,
A. Zada,
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Abstract |
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| We consider `-Volterra quadratic stochastic operators defined on (m? 1)-dimensional simplex, where ` 2 f0; 1; :::;mg. Under some conditions on coefficients of such operators we describe Lyapunov functions and apply them to obtain upper estimates for the set of !- limit points of trajectories. We describe a set of fixed points of `-Volterra operators. |
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