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Analyzing perturbations and nonstationarity in data series using techniques motiviated by the theory of chaotic nonlinear dynamical systems

机译：利用混沌非线性动力系统理论推导的技术分析数据序列中的扰动和非平稳性

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摘要

Large data series with more than several million multivariate observations, representing tens of megabytes or even gigabytes of data, are difficult or impossible to analyze with traditional software. The purpose of this research is to give meaningful definition to 'large data set analysis' and to describe and illustrate a technique for identifying unusual events in large data series. The technique presented is based on the theory of nonlinear dynamical systems.

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Downing, D. J. ; Fedorov, V. ; Lawkins, W. F. ; Morris, M. D. ; Ostrouchov, G.;
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年度 1996
页码 1-44
总页数 44
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Dynamics; Algorithms; Data Analysis; Disturbances; Nonlinear Problems; Transients;

机译：动力学;算法;数据分析;扰动;非线性问题;瞬态;

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1. Nonlinear PI control of chaotic systems using singular perturbation theory [J] . Jiang W, Jing W, Li HY Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2005,第5期

机译：基于奇异摄动理论的混沌系统非线性PI控制
2. Iterative techniques for analyzing nonlinear vibrating dynamical systems in the frequency domain [J] . Culver Dean, Dowell Earl Nonlinear dynamics . 2018,第4期

机译：用于分析频域中非线性振动动力系统的迭代技术
3. An adaptive sliding mode control scheme for a class of chaotic systems with mismatched perturbations and input nonlinearities [J] . Wei Xiang, Fangqi Chen Communications in Nonlinear Science and Numerical Simulation . 2011,第1期

机译：一类具有不匹配扰动和输入非线性的混沌系统的自适应滑模控制方案
4. Discriminant procedure for dynamical equation reconstruction from noisy experimental data and for revealing nonstationarity in chaotic systems [C] . Butkovskii, O.Y., Kravtsov, . 2000

机译：从嘈杂的实验数据中重建动力学方程并揭示混沌系统中非平稳性的判别程序
5. Chaotic transient behavior of dynamical systems under random perturbations. [D] . Do, Younghae. 2004

机译：动态系统在随机扰动下的混沌瞬态行为。
6. Characterizing Fluctuations of Arterial and Cerebral Tissue Oxygenation in Preterm Neonates by Means of Data Analysis Techniques for Nonlinear Dynamical Systems [O] . Stefan Kleiser, Marcin Pastewski, Tharindi Hapuarachchi, -1

机译：非线性动力学系统的数据分析技术表征早产新生儿的动脉和脑组织氧合波动
7. Analysing perturbations and nonstationarity in data series using techniques motiviated by the theory of chaotic nonlinear dynamical systems [O] . Downing, D.J., Fedorov, V., Lawkins, W.F., 1996

机译：利用混沌非线性动力系统理论推导的技术分析数据序列中的扰动和非平稳性

Analyzing perturbations and nonstationarity in data series using techniques motiviated by the theory of chaotic nonlinear dynamical systems

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