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Bifurcations of self-similar solutions of the Fokker-Plank equations

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  • A class of one-dimensional Fokker-Plank equations having a common stationary solution, which is a power function of the state of the process, was found. We prove that these equations also have generalized self-similar solutions which describe the temporary transition from one stationary state to another. The study was motivated by problems arising in mathematical modeling of genome size evolution.
    Mathematics Subject Classification: Primary: 92B05.

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