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

Details Bifurcations of self-similar solutions of the Fokker-Plank Equation Bifurcations of self-similar solutions of the Fokker-Plank Equation

2006-06-02

arxiv.org/abs/q-bio/0606004v1

Biology

Quantitative Biology

Quantitative Methods

9 pages; submitted to Discrete and Continuous Dynamical Systems

Scientific paper

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.

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