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Detection of Coupling Delay: A Problem not yet Solved
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SYSNO ASEP 0477035 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Detection of Coupling Delay: A Problem not yet Solved Author(s) Coufal, David (UIVT-O) RID, SAI, ORCID
Jakubík, J. (SK)
Jajcay, Nikola (UIVT-O) RID, ORCID, SAI
Hlinka, Jaroslav (UIVT-O) RID, SAI, ORCID
Krakovská, A. (SK)
Paluš, Milan (UIVT-O) RID, SAI, ORCIDArticle number 083109 Source Title Chaos. - : AIP Publishing - ISSN 1054-1500
Roč. 27, č. 8 (2017)Number of pages 12 s. Language eng - English Country US - United States Keywords coupling delay ; conditional mutual information ; transfer entropy ; convergent cross-mapping ; synchronization ; causality Subject RIV IN - Informatics, Computer Science OECD category Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8) R&D Projects NV15-33250A GA MZd - Ministry of Health (MZ) Institutional support UIVT-O - RVO:67985807 UT WOS 000409112600013 EID SCOPUS 85027301065 DOI 10.1063/1.4997757 Annotation Nonparametric detection of coupling delay in unidirectionally and bidirectionally coupled nonlinear dynamical systems is examined. Both continuous and discrete-time systems are considered. Two methods of detection are assessed - the method based on conditional mutual information - the CMI method (also known as the transfer entropy method) and the method of convergent cross mapping - the CCM method. Computer simulations show that neither method is generally reliable in the detection of coupling delays. For continuous-time chaotic systems, the CMI method appears to be more sensitive and applicable in a broader range of coupling parameters than the CCM method. In the case of tested discrete-time dynamical systems, the CCM method has been found to be more sensitive, while the CMI method required much stronger coupling strength in order to bring correct results. However, when studied systems contain a strong oscillatory component in their dynamics, results of both methods become ambiguous. The presented study suggests that results of the tested algorithms should be interpreted with utmost care and the nonparametric detection of coupling delay, in general, is a problem not yet solved. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2018
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