Title
Discriminating Chaotic Time Series With Visibility Graph Eigenvalues
Abstract
Time series can be transformed into graphs called horizontal visibility graphs (HVGs) in order to gain useful insights. Here, the maximum eigenvalue of the adjacency matrix associated to the HVG derived from several time series is calculated. The maximum eigenvalue methodology is able to discriminate between chaos and randomness and is suitable for short time series, hence for experimental results. An application to the United States gross domestic product data is given.
Year
DOI
Venue
2012
10.25088/ComplexSystems.21.3.193
COMPLEX SYSTEMS
Field
DocType
Volume
Adjacency matrix,Discrete mathematics,Visibility graph,Artificial intelligence,Chaotic,Eigenvalues and eigenvectors,Mathematics,Machine learning
Journal
21
Issue
ISSN
Citations 
3
0891-2513
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Vincenzo Fioriti1417.09
Alberto Tofani2277.00
Antonio Di Pietro3175.64