Synchronization between Two Discrete-Time Networks with Mutual Couplings
We investigate synchronization between two discrete-time networks with mutual couplings, including inner synchronization inside each network and outer synchronization between two networks. We then obtain a synchronized criterion for the inner synchronization inside each network by the method of lin...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/167198 |
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| _version_ | 1832562271647170560 |
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| author | Meng Xiao Weigang Sun Fangyue Chen |
| author_facet | Meng Xiao Weigang Sun Fangyue Chen |
| author_sort | Meng Xiao |
| collection | DOAJ |
| description | We investigate synchronization between two discrete-time networks with mutual
couplings, including inner synchronization inside each network and outer synchronization between two networks.
We then obtain a synchronized criterion for the inner synchronization inside each network by the
method of linear matrix inequality and derive a relationship between the inner and outer synchronization.
Finally, we show numerical examples to verify our theoretical analysis and discuss the effect of coupling
strengths, node dynamics, and topological structures on the inner and outer synchronization. Compared to
the inner synchronization inside each network, the outer synchronization between two networks is difficult to
achieve. |
| format | Article |
| id | doaj-art-6f122b214d8345419de2b6ddc37ff17b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6f122b214d8345419de2b6ddc37ff17b2025-02-03T01:23:04ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/167198167198Synchronization between Two Discrete-Time Networks with Mutual CouplingsMeng Xiao0Weigang Sun1Fangyue Chen2Institute of Applied Mathematics and Engineering Computations, Hangzhou Dianzi University, Hangzhou 310018, ChinaInstitute of Applied Mathematics and Engineering Computations, Hangzhou Dianzi University, Hangzhou 310018, ChinaInstitute of Applied Mathematics and Engineering Computations, Hangzhou Dianzi University, Hangzhou 310018, ChinaWe investigate synchronization between two discrete-time networks with mutual couplings, including inner synchronization inside each network and outer synchronization between two networks. We then obtain a synchronized criterion for the inner synchronization inside each network by the method of linear matrix inequality and derive a relationship between the inner and outer synchronization. Finally, we show numerical examples to verify our theoretical analysis and discuss the effect of coupling strengths, node dynamics, and topological structures on the inner and outer synchronization. Compared to the inner synchronization inside each network, the outer synchronization between two networks is difficult to achieve.http://dx.doi.org/10.1155/2013/167198 |
| spellingShingle | Meng Xiao Weigang Sun Fangyue Chen Synchronization between Two Discrete-Time Networks with Mutual Couplings Abstract and Applied Analysis |
| title | Synchronization between Two Discrete-Time Networks with Mutual Couplings |
| title_full | Synchronization between Two Discrete-Time Networks with Mutual Couplings |
| title_fullStr | Synchronization between Two Discrete-Time Networks with Mutual Couplings |
| title_full_unstemmed | Synchronization between Two Discrete-Time Networks with Mutual Couplings |
| title_short | Synchronization between Two Discrete-Time Networks with Mutual Couplings |
| title_sort | synchronization between two discrete time networks with mutual couplings |
| url | http://dx.doi.org/10.1155/2013/167198 |
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