{"title":"Generalized limited penetrable vector visibility graph","authors":"Weikai Ren, Ning-De Jin, Zhijun Jin","doi":"10.1209/0295-5075/ad0408","DOIUrl":null,"url":null,"abstract":"Abstract The paper introduced a new way for converting the multivariate time series to complex network combining the vector visibility graph and limited penetrable theory, and the concept is discussed on the generalized limited penetrable range, termed as generalized limited penetrable vector visibility graph. The proposed method is verified by the Lorenz system. We use the four kinds of network structure characteristic to evaluate the noise resistance of the method quantitatively, and provide the strategy with guidance for choosing the optimal limited penetrable range. The results show that the limited penetrable vector visibility graph inherits the noise resistance of limited penetrable visibility graph in the multivariate time series analysis. The generalized limited penetrable range is discussed to clarify the effect on the network structure.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":1.8000,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"EPL","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1209/0295-5075/ad0408","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract The paper introduced a new way for converting the multivariate time series to complex network combining the vector visibility graph and limited penetrable theory, and the concept is discussed on the generalized limited penetrable range, termed as generalized limited penetrable vector visibility graph. The proposed method is verified by the Lorenz system. We use the four kinds of network structure characteristic to evaluate the noise resistance of the method quantitatively, and provide the strategy with guidance for choosing the optimal limited penetrable range. The results show that the limited penetrable vector visibility graph inherits the noise resistance of limited penetrable visibility graph in the multivariate time series analysis. The generalized limited penetrable range is discussed to clarify the effect on the network structure.
期刊介绍：
General physics – physics of elementary particles and fields – nuclear physics – atomic, molecular and optical physics – classical areas of phenomenology – physics of gases, plasmas and electrical discharges – condensed matter – cross-disciplinary physics and related areas of science and technology.
Letters submitted to EPL should contain new results, ideas, concepts, experimental methods, theoretical treatments, including those with application potential and be of broad interest and importance to one or several sections of the physics community. The presentation should satisfy the specialist, yet remain understandable to the researchers in other fields through a suitable, clearly written introduction and conclusion (if appropriate).
EPL also publishes Comments on Letters previously published in the Journal.
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