Synchronization Measure Based on a Geometric Approach to Attractor Embedding Using Finite Observation Windows

Synchronization Measure Based on a Geometric Approach to Attractor Embedding Using Finite Observation Windows

A simple and effective algorithm for the identification of optimal time delays based on the geometrical properties of the embedded attractor is presented in this paper. A time series synchronization measure based on optimal time delays is derived. The approach is based on the comparison of optimal t...

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Main Authors: Inga Timofejeva, Kristina Poskuviene, Maosen Cao, Minvydas Ragulskis
Format: Article
Language:English
Published: Hindawi-Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/8259496
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spelling doaj-a7008442d6bc468a9c41b06a2623c9b22020-11-24T21:58:19ZengHindawi-WileyComplexity1076-27871099-05262018-01-01201810.1155/2018/82594968259496Synchronization Measure Based on a Geometric Approach to Attractor Embedding Using Finite Observation WindowsInga Timofejeva0Kristina Poskuviene1Maosen Cao2Minvydas Ragulskis3Research Group for Mathematical and Numerical Analysis of Dynamical Systems, Kaunas University of Technology, Studentu 50-147, LT-51368 Kaunas, LithuaniaResearch Group for Mathematical and Numerical Analysis of Dynamical Systems, Kaunas University of Technology, Studentu 50-147, LT-51368 Kaunas, LithuaniaDepartment of Engineering Mechanics, Hohai University, Nanjing 210098, ChinaResearch Group for Mathematical and Numerical Analysis of Dynamical Systems, Kaunas University of Technology, Studentu 50-147, LT-51368 Kaunas, LithuaniaA simple and effective algorithm for the identification of optimal time delays based on the geometrical properties of the embedded attractor is presented in this paper. A time series synchronization measure based on optimal time delays is derived. The approach is based on the comparison of optimal time delay sequences that are computed for segments of the considered time series. The proposed technique is validated using coupled chaotic Rössler systems.http://dx.doi.org/10.1155/2018/8259496
collection DOAJ
language English
format Article
sources DOAJ
author Inga Timofejeva
Kristina Poskuviene
Maosen Cao
Minvydas Ragulskis
spellingShingle Inga Timofejeva
Kristina Poskuviene
Maosen Cao
Minvydas Ragulskis
Synchronization Measure Based on a Geometric Approach to Attractor Embedding Using Finite Observation Windows
Complexity
author_facet Inga Timofejeva
Kristina Poskuviene
Maosen Cao
Minvydas Ragulskis
author_sort Inga Timofejeva
title Synchronization Measure Based on a Geometric Approach to Attractor Embedding Using Finite Observation Windows
title_short Synchronization Measure Based on a Geometric Approach to Attractor Embedding Using Finite Observation Windows
title_full Synchronization Measure Based on a Geometric Approach to Attractor Embedding Using Finite Observation Windows
title_fullStr Synchronization Measure Based on a Geometric Approach to Attractor Embedding Using Finite Observation Windows
title_full_unstemmed Synchronization Measure Based on a Geometric Approach to Attractor Embedding Using Finite Observation Windows
title_sort synchronization measure based on a geometric approach to attractor embedding using finite observation windows
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2018-01-01
description A simple and effective algorithm for the identification of optimal time delays based on the geometrical properties of the embedded attractor is presented in this paper. A time series synchronization measure based on optimal time delays is derived. The approach is based on the comparison of optimal time delay sequences that are computed for segments of the considered time series. The proposed technique is validated using coupled chaotic Rössler systems.
url http://dx.doi.org/10.1155/2018/8259496
work_keys_str_mv AT ingatimofejeva synchronizationmeasurebasedonageometricapproachtoattractorembeddingusingfiniteobservationwindows
AT kristinaposkuviene synchronizationmeasurebasedonageometricapproachtoattractorembeddingusingfiniteobservationwindows
AT maosencao synchronizationmeasurebasedonageometricapproachtoattractorembeddingusingfiniteobservationwindows
AT minvydasragulskis synchronizationmeasurebasedonageometricapproachtoattractorembeddingusingfiniteobservationwindows
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