Journal ArticleDOI
A method of embedding dimension estimation based on symplectic geometry
TLDR
In this paper, a symplectic geometry method is proposed to determine the appropriate embedding dimension from a scalar time series, which can keep the essential character of the primary time series unchanged when performing symplectic similar transform.About:
This article is published in Physics Letters A.The article was published on 2002-10-14. It has received 62 citations till now. The article focuses on the topics: Symplectic geometry & Symplectic vector space.read more
Citations
More filters
Journal ArticleDOI
Symplectic geometry mode decomposition and its application to rotating machinery compound fault diagnosis
TL;DR: The analysis results of simulation signals and experimental signals indicate that the proposed time-series decomposition approach can decompose the analyzed signals accurately and effectively.
Journal ArticleDOI
Chaotic time series prediction of E-nose sensor drift in embedded phase space
TL;DR: A new methodology for chaotic time series modeling of chemical sensor observations in embedded phase space based on phase space reconstruction (PSR) and radial basis function (RBF) neural network is studied.
Journal ArticleDOI
A novel fault diagnosis procedure based on improved symplectic geometry mode decomposition and optimized SVM
TL;DR: A novel fault diagnosis procedure based on improved symplectic geometry mode decomposition (SGMD) and optimized SVM and Harris hawks optimization algorithm (HHO) is presented, demonstrating its effectiveness and robustness for rotating machineries fault diagnosis.
Journal ArticleDOI
Spatial variation of deterministic chaos in mean daily temperature and rainfall over Nigeria
TL;DR: In this article, daily rainfall and temperature data from 47 locations across Nigeria for the 36-year period 1979-2014 were treated to time series analysis technique to investigate some nonlinear trends in rainfall data, some quantifiers such as Lyapunov exponents, correlation dimension, and entropy were obtained for various locations.
Journal ArticleDOI
Symplectic geometry decomposition-based features for automatic epileptic seizure detection.
TL;DR: The superior competence of the proposed methodology has high accuracy and low complexity as shown in the experimental results, and the transferable ability is verified.
References
More filters
Journal ArticleDOI
Measuring the Strangeness of Strange Attractors
TL;DR: In this paper, the correlation exponent v is introduced as a characteristic measure of strange attractors which allows one to distinguish between deterministic chaos and random noise, and algorithms for extracting v from the time series of a single variable are proposed.
Journal ArticleDOI
Determining embedding dimension for phase-space reconstruction using a geometrical construction
TL;DR: The issue of determining an acceptable minimum embedding dimension is examined by looking at the behavior of near neighbors under changes in the embedding dimensions from d\ensuremath{\rightarrow}d+1 by examining the manner in which noise changes the determination of ${\mathit{d}}_{\math it{E}}$.
Journal ArticleDOI
Extracting qualitative dynamics from experimental data
TL;DR: In this paper, the notion of qualitative information and the practicalities of extracting it from experimental data were considered, based on ideas from the generalized theory of information known as singular system analysis due to Bertero, Pike and co-workers.
Journal ArticleDOI
Practical method for determining the minimum embedding dimension of a scalar time series
TL;DR: A practical method to determine the minimum embedding dimension from a scalar time series that has the following advantages: does not contain any subjective parameters except for the time-delay for the embedding.