摘要翻译:
本文给出了一类一维Fokker-Plank方程的公共定常解,该定常解是过程状态的幂函数。我们证明了这些方程也有广义自相似解,它描述了从一个定态到另一个定态的暂时转变。这项研究的动机是基因组大小进化的数学建模中出现的问题。
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英文标题:
《Bifurcations of self-similar solutions of the Fokker-Plank Equation》
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作者:
F. Berezovskaya, G. Karev
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最新提交年份:
2006
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分类信息:
一级分类:Quantitative Biology 数量生物学
二级分类:Quantitative Methods 定量方法
分类描述:All experimental, numerical, statistical and mathematical contributions of value to biology
对生物学价值的所有实验、数值、统计和数学贡献
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一级分类:Quantitative Biology 数量生物学
二级分类:Other Quantitative Biology 其他定量生物学
分类描述:Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
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英文摘要:
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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PDF链接:
https://arxiv.org/pdf/q-bio/0606004