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: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/8259496 |
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| _version_ | 1832558547895844864 |
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| author | Inga Timofejeva Kristina Poskuviene Maosen Cao Minvydas Ragulskis |
| author_facet | Inga Timofejeva Kristina Poskuviene Maosen Cao Minvydas Ragulskis |
| author_sort | Inga Timofejeva |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-a7008442d6bc468a9c41b06a2623c9b2 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-a7008442d6bc468a9c41b06a2623c9b22025-02-03T01:32:10ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/82594968259496Synchronization 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 |
| spellingShingle | Inga Timofejeva Kristina Poskuviene Maosen Cao Minvydas Ragulskis Synchronization Measure Based on a Geometric Approach to Attractor Embedding Using Finite Observation Windows Complexity |
| title | 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_short | 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 |
| 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 |