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Identification of Stochastically Perturbed Autonomous Systems from Temporal Sequences of Probability Density Functions.

作者信息

Nie Xiaokai, Luo Jingjing, Coca Daniel, Birkin Mark, Chen Jing

机构信息

1Leeds Institute for Data Analytics, University of Leeds, Leeds, LS2 9JT UK.

2Department of Automatic Control and Systems Engineering, The University of Sheffield, Sheffield, S1 3JD UK.

出版信息

J Nonlinear Sci. 2018;28(4):1467-1487. doi: 10.1007/s00332-018-9455-0. Epub 2018 Mar 21.

DOI:10.1007/s00332-018-9455-0
PMID:30008519
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6018646/
Abstract

The paper introduces a method for reconstructing one-dimensional iterated maps that are driven by an external control input and subjected to an additive stochastic perturbation, from sequences of probability density functions that are generated by the stochastic dynamical systems and observed experimentally.

摘要
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/978b/6018646/10051109a879/332_2018_9455_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/978b/6018646/c3c66afccad7/332_2018_9455_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/978b/6018646/8422ddf75c9e/332_2018_9455_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/978b/6018646/d51c692f9980/332_2018_9455_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/978b/6018646/51b604bc5975/332_2018_9455_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/978b/6018646/7b6a7c270f7a/332_2018_9455_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/978b/6018646/2c3f3d1d1d6a/332_2018_9455_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/978b/6018646/f3e4f9d0cff6/332_2018_9455_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/978b/6018646/10051109a879/332_2018_9455_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/978b/6018646/c3c66afccad7/332_2018_9455_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/978b/6018646/8422ddf75c9e/332_2018_9455_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/978b/6018646/d51c692f9980/332_2018_9455_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/978b/6018646/51b604bc5975/332_2018_9455_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/978b/6018646/7b6a7c270f7a/332_2018_9455_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/978b/6018646/2c3f3d1d1d6a/332_2018_9455_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/978b/6018646/f3e4f9d0cff6/332_2018_9455_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/978b/6018646/10051109a879/332_2018_9455_Fig8_HTML.jpg

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本文引用的文献

1
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.
2
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.