dorsal/arxiv
View SchemaBifurcations of self-similar solutions of the Fokker-Plank Equation
| Authors | F. Berezovskaya, G. Karev |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0606004 |
| URL | https://arxiv.org/abs/q-bio/0606004 |
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.
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"abstract": "A class of one-dimensional Fokker-Plank equations having a common stationary\nsolution, which is a power function of the state of the process, was found. We\nprove that these equations also have generalized self-similar solutions which\ndescribe the temporary transition from one stationary state to another. The\nstudy was motivated by problems arising in mathematical modeling of genome size\nevolution.",
"arxiv_id": "q-bio/0606004",
"authors": [
"F. Berezovskaya",
"G. Karev"
],
"categories": [
"q-bio.QM",
"q-bio.OT"
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"title": "Bifurcations of self-similar solutions of the Fokker-Plank Equation",
"url": "https://arxiv.org/abs/q-bio/0606004"
},
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