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一种基于矩阵的方法，用于使用随机扰动动力系统的密度函数序列来解决逆弗罗贝尼乌斯 - 佩龙问题。

A matrix-based approach to solving the inverse Frobenius-Perron problem using sequences of density functions of stochastically perturbed dynamical systems.

作者信息

Nie Xiaokai, Coca Daniel

机构信息

Department of Automatic Control and Systems Engineering, The University of Sheffield, Sheffield S1 3JD, United Kingdom.

Leeds Institute for Data Analytics, University of Leeds, Leeds LS2 9JT, United Kingdom.

出版信息

Commun Nonlinear Sci Numer Simul. 2018 Jan;54:248-266. doi: 10.1016/j.cnsns.2017.05.011.

DOI:10.1016/j.cnsns.2017.05.011
PMID:29299016
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC5589148/
Abstract

The paper introduces a matrix-based approach to estimate the unique one-dimensional discrete-time dynamical system that generated a given sequence of probability density functions whilst subjected to an additive stochastic perturbation with known density.

摘要

本文介绍了一种基于矩阵的方法，用于估计在受到具有已知密度的加性随机扰动时生成给定概率密度函数序列的唯一一维离散时间动态系统。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fe1b/5589148/2a2a8e48fa58/gr10.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fe1b/5589148/a6fb7d159197/gr1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fe1b/5589148/d23da4b03553/gr2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fe1b/5589148/4182025bc765/gr3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fe1b/5589148/244a073a6858/gr4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fe1b/5589148/2c2a66a1160b/gr5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fe1b/5589148/f5b5b651f5d1/gr6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fe1b/5589148/4127e0775701/gr7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fe1b/5589148/c4f69866b0b3/gr8.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fe1b/5589148/6d179cae7c60/gr9.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fe1b/5589148/2a2a8e48fa58/gr10.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fe1b/5589148/a6fb7d159197/gr1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fe1b/5589148/d23da4b03553/gr2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fe1b/5589148/4182025bc765/gr3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fe1b/5589148/244a073a6858/gr4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fe1b/5589148/2c2a66a1160b/gr5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fe1b/5589148/f5b5b651f5d1/gr6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fe1b/5589148/4127e0775701/gr7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fe1b/5589148/c4f69866b0b3/gr8.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fe1b/5589148/6d179cae7c60/gr9.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fe1b/5589148/2a2a8e48fa58/gr10.jpg

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本文引用的文献

1
Signal processing with temporal sequences in olfactory systems.嗅觉系统中时间序列的信号处理
IEEE Trans Neural Netw. 2004 Sep;15(5):1268-75. doi: 10.1109/TNN.2004.832730.
2
Theory and examples of the inverse Frobenius-Perron problem for complete chaotic maps.
Chaos. 1999 Jun;9(2):357-366. doi: 10.1063/1.166413.
3
Low-dimensional chaos in biological systems.生物系统中的低维混沌
Biotechnology (N Y). 1994 Jun;12(6):596-600. doi: 10.1038/nbt0694-596.
4
Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: a theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias.周期驱动振荡器数学模型中的锁相、倍周期分岔与混沌：生物振荡器同步及心脏心律失常产生的一种理论
J Math Biol. 1982;14(1):1-23. doi: 10.1007/BF02154750.