Complex behavior of chaotic synchronization under dual coupling channels
Most previous works on complete synchronization of chaotic oscillators focused on the one-channel interaction scheme where the oscillators are coupled through only one variable or a symmetric set of variables. Using the standard framework of master-stability function (MSF), we investigate the emerge...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2015-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/17/2/023055 |
| _version_ | 1797751192148770816 |
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| author | Wenchao Yang Zi-Gang Huang Xingang Wang Liang Huang Lei Yang Ying-Cheng Lai |
| author_facet | Wenchao Yang Zi-Gang Huang Xingang Wang Liang Huang Lei Yang Ying-Cheng Lai |
| author_sort | Wenchao Yang |
| collection | DOAJ |
| description | Most previous works on complete synchronization of chaotic oscillators focused on the one-channel interaction scheme where the oscillators are coupled through only one variable or a symmetric set of variables. Using the standard framework of master-stability function (MSF), we investigate the emergence of complex synchronization behaviors under all possible configurations of two-channel coupling, which include, for example, all possible cross coupling schemes among the dynamical variables. Utilizing the classic Rössler and Lorenz oscillators, we find a rich variety of synchronization phenomena not present in any previously extensively studied, single-channel coupling configurations. For example, in many cases two coupling channels can enhance or even generate synchronization where there is only weak or no synchronization under only one coupling channel, which has been verified in a coupled neuron system. There are also cases where the oscillators are originally synchronized under one coupling channel, but an additional synchronizable coupling channel can, however, destroy synchronization. Direct numerical simulations of actual synchronization dynamics verify the MSF-based predictions. Our extensive computation and heuristic analysis provide an atlas for synchronization of chaotic oscillators coupled through two channels, which can be used as a systematic reference to facilitate further research in this area. |
| first_indexed | 2024-03-12T16:44:56Z |
| format | Article |
| id | doaj.art-d2b796879c2d48eb8b1b08f5a49d9c89 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:44:56Z |
| publishDate | 2015-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-d2b796879c2d48eb8b1b08f5a49d9c892023-08-08T14:18:29ZengIOP PublishingNew Journal of Physics1367-26302015-01-0117202305510.1088/1367-2630/17/2/023055Complex behavior of chaotic synchronization under dual coupling channelsWenchao Yang0Zi-Gang Huang1Xingang Wang2Liang Huang3Lei Yang4Ying-Cheng Lai5Lanzhou University , and Institute of Modern Physics of CAS, Lanzhou 730000, People's Republic of ChinaLanzhou University , and Institute of Modern Physics of CAS, Lanzhou 730000, People's Republic of China; School of Electrical, Computer, and Energy Engineering, Arizona State University , Tempe, AZ 85287, USASchool of Physics and Information Technology, Shaanxi Normal University , Xi’an 710062, People's Republic of ChinaLanzhou University , and Institute of Modern Physics of CAS, Lanzhou 730000, People's Republic of China; School of Electrical, Computer, and Energy Engineering, Arizona State University , Tempe, AZ 85287, USALanzhou University , and Institute of Modern Physics of CAS, Lanzhou 730000, People's Republic of ChinaSchool of Electrical, Computer, and Energy Engineering, Arizona State University , Tempe, AZ 85287, USA; Department of Physics, Arizona State University , Tempe, AZ 85287, USAMost previous works on complete synchronization of chaotic oscillators focused on the one-channel interaction scheme where the oscillators are coupled through only one variable or a symmetric set of variables. Using the standard framework of master-stability function (MSF), we investigate the emergence of complex synchronization behaviors under all possible configurations of two-channel coupling, which include, for example, all possible cross coupling schemes among the dynamical variables. Utilizing the classic Rössler and Lorenz oscillators, we find a rich variety of synchronization phenomena not present in any previously extensively studied, single-channel coupling configurations. For example, in many cases two coupling channels can enhance or even generate synchronization where there is only weak or no synchronization under only one coupling channel, which has been verified in a coupled neuron system. There are also cases where the oscillators are originally synchronized under one coupling channel, but an additional synchronizable coupling channel can, however, destroy synchronization. Direct numerical simulations of actual synchronization dynamics verify the MSF-based predictions. Our extensive computation and heuristic analysis provide an atlas for synchronization of chaotic oscillators coupled through two channels, which can be used as a systematic reference to facilitate further research in this area.https://doi.org/10.1088/1367-2630/17/2/023055synchronizationmaster stability functiondual channel coupling |
| spellingShingle | Wenchao Yang Zi-Gang Huang Xingang Wang Liang Huang Lei Yang Ying-Cheng Lai Complex behavior of chaotic synchronization under dual coupling channels New Journal of Physics synchronization master stability function dual channel coupling |
| title | Complex behavior of chaotic synchronization under dual coupling channels |
| title_full | Complex behavior of chaotic synchronization under dual coupling channels |
| title_fullStr | Complex behavior of chaotic synchronization under dual coupling channels |
| title_full_unstemmed | Complex behavior of chaotic synchronization under dual coupling channels |
| title_short | Complex behavior of chaotic synchronization under dual coupling channels |
| title_sort | complex behavior of chaotic synchronization under dual coupling channels |
| topic | synchronization master stability function dual channel coupling |
| url | https://doi.org/10.1088/1367-2630/17/2/023055 |
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