Estimating correlation dimension of high-dimensional signals - quick algorithm
Sign Up to like & getrecommendations! Published in 2018 at "AIP Advances"
DOI: 10.1063/1.5013255
Abstract: The paper describes the improvements and corrections to the method of estimation of correlation dimension of d for high-dimensional signals (HDS). The following problems are described: (a) presentation of the quick version of the algorithm… read more here.
Keywords: correlation dimension; high dimensional; dimensional signals; dimension high ... See more keywords
Correlation dimension and phase space contraction via extreme value theory.
Sign Up to like & getrecommendations! Published in 2018 at "Chaos"
DOI: 10.1063/1.5027386
Abstract: We show how to obtain theoretical and numerical estimates of correlation dimension and phase space contraction by using the extreme value theory. The maxima of suitable observables sampled along the trajectory of a chaotic dynamical… read more here.
Keywords: dimension; extreme value; phase space; correlation dimension ... See more keywords
Determining the number of integrals of motion by an adapted correlation dimension method.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.99.032222
Abstract: An adapted correlation dimension algorithm is used to numerically determine the number of integrals of motion in a variety of conservative classical systems. The method is demonstrated on three sample systems that display various degrees… read more here.
Keywords: adapted correlation; correlation dimension; integrals motion; number integrals ... See more keywords
A Fault Diagnosis Method for Satellite Flywheel Bearings Based on 3D Correlation Dimension Clustering Technology
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Access"
DOI: 10.1109/access.2018.2885046
Abstract: Flywheel bearing is a key mechanical part of a satellite. Its health plays an important role in the fatigue life of the satellite. However, it is rather difficult to diagnose the health state of the… read more here.
Keywords: satellite; method; correlation dimension; clustering technology ... See more keywords
Correlation Dimension Based Stability Analysis for Cyber-Physical Systems
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Industrial Informatics"
DOI: 10.1109/tii.2021.3075949
Abstract: Cyber-physical systems (CPSs) realize the automatic control of entities through computing systems and networks. Stability is an important factor in CPS for system upgrading and troubleshooting. Traditional analysis methods focus on simulation and formal analysis,… read more here.
Keywords: stability; stability analysis; analysis; correlation dimension ... See more keywords
Insights on correlation dimension from dynamics mapping of three experimental nonlinear laser systems
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DOI: 10.1371/journal.pone.0181559
Abstract: Background We have analysed large data sets consisting of tens of thousands of time series from three Type B laser systems: a semiconductor laser in a photonic integrated chip, a semiconductor laser subject to optical… read more here.
Keywords: laser systems; correlation dimension; laser; time ... See more keywords
Application of Two Novel Acoustic Emission Parameters on Identifying the Instability of Granite
Sign Up to like & getrecommendations! Published in 2022 at "Entropy"
DOI: 10.3390/e24060750
Abstract: The issue of monitoring and early warning of rock instability has received increasing critical attention in the study of rock engineering. To investigate the damage evolution process of granite under triaxial compression tests, acoustic emission… read more here.
Keywords: correlation dimension; rock; rock instability; instability ... See more keywords