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

Pages: 91 - 99, Issue Special, August 2005

 Abstract        Full Text (212.5K)              

F. Berezovskaya - Department of Mathematics, Howard University, Washington D.C., 20059, United States (email)
G. Karev - Oak Ridge Institute for Science and Education (ORISE) 8600 Rockville Pike, Bldg. 38A, Rm. 5N511N, Bethesda, MD 20894, United States (email)

Abstract: 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:  Fokker-Plank equations, self-similar solutions, genom evolutions.
Mathematics Subject Classification:  Primary: 92B05.

Received: September 2004;      Revised: May 2005;      Published: September 2005.