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2005, 2005(Special): 91-99. doi: 10.3934/proc.2005.2005.91

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

F. Berezovskaya 1, and  G. Karev 2,

1. 

Department of Mathematics, Howard University, Washington D.C., 20059
2. 

Oak Ridge Institute for Science and Education (ORISE) 8600 Rockville Pike, Bldg. 38A, Rm. 5N511N, Bethesda, MD 20894

Received  September 2004 Revised  May 2005 Published  September 2005

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.
Keywords: genom evolutions., Fokker-Plank equations, self-similar solutions.
Mathematics Subject Classification: Primary: 92B0.
Citation: F. Berezovskaya, G. Karev. Bifurcations of self-similar solutions of the Fokker-Plank equations. Conference Publications, 2005, 2005 (Special) : 91-99. doi: 10.3934/proc.2005.2005.91
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