Because of its numerous applications in areas like biology, physics, and economics, nonlinear analysis research is becoming more and more popular. The major challenge in this theory is to determine precisely the limiting points under the trajectories of the considered operators. In this paper, we focus on the simplest nonlinear operator which is Quadratics Stochastic Operators (QSOs) and limited ourselves to one of the classes of QSOs namely, class b-bistochastic QSOs. In particular, we provide a comprehensive description of the fixed points for two-dimensional b-bistochastic QSOs which opens up the door a thorough explanation of the limiting points.
Topics
Stochastic processes
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