Adaptive Exponential Synchronization of Coupled Complex Networks on General Graphs
We investigate the synchronization in complex dynamical networks, where the coupling configuration corresponds to a weighted graph. An adaptive synchronization method on general coupling configuration graphs is given. The networks may synchronize at an arbitrarily given exponential rate by enhancing...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/854793 |
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| _version_ | 1832563855013707776 |
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| author | Song Liu Xianfeng Zhou Wei Jiang Yizheng Fan |
| author_facet | Song Liu Xianfeng Zhou Wei Jiang Yizheng Fan |
| author_sort | Song Liu |
| collection | DOAJ |
| description | We investigate the synchronization in complex dynamical networks, where the coupling configuration corresponds to a weighted graph. An adaptive synchronization method on general coupling configuration graphs is given. The networks may synchronize at an arbitrarily given exponential rate by enhancing the updated law of the variable coupling strength and achieve synchronization more quickly by adding edges to original graphs. Finally, numerical simulations are provided to illustrate the effectiveness of our theoretical results. |
| format | Article |
| id | doaj-art-88c5b317450b4dbcbffe30217725050b |
| 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-88c5b317450b4dbcbffe30217725050b2025-02-03T01:12:24ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/854793854793Adaptive Exponential Synchronization of Coupled Complex Networks on General GraphsSong Liu0Xianfeng Zhou1Wei Jiang2Yizheng Fan3School of Mathematical Sciences, Anhui University, Hefei 230601, ChinaSchool of Mathematical Sciences, Anhui University, Hefei 230601, ChinaSchool of Mathematical Sciences, Anhui University, Hefei 230601, ChinaSchool of Mathematical Sciences, Anhui University, Hefei 230601, ChinaWe investigate the synchronization in complex dynamical networks, where the coupling configuration corresponds to a weighted graph. An adaptive synchronization method on general coupling configuration graphs is given. The networks may synchronize at an arbitrarily given exponential rate by enhancing the updated law of the variable coupling strength and achieve synchronization more quickly by adding edges to original graphs. Finally, numerical simulations are provided to illustrate the effectiveness of our theoretical results.http://dx.doi.org/10.1155/2013/854793 |
| spellingShingle | Song Liu Xianfeng Zhou Wei Jiang Yizheng Fan Adaptive Exponential Synchronization of Coupled Complex Networks on General Graphs Abstract and Applied Analysis |
| title | Adaptive Exponential Synchronization of Coupled Complex Networks on General Graphs |
| title_full | Adaptive Exponential Synchronization of Coupled Complex Networks on General Graphs |
| title_fullStr | Adaptive Exponential Synchronization of Coupled Complex Networks on General Graphs |
| title_full_unstemmed | Adaptive Exponential Synchronization of Coupled Complex Networks on General Graphs |
| title_short | Adaptive Exponential Synchronization of Coupled Complex Networks on General Graphs |
| title_sort | adaptive exponential synchronization of coupled complex networks on general graphs |
| url | http://dx.doi.org/10.1155/2013/854793 |
| work_keys_str_mv | AT songliu adaptiveexponentialsynchronizationofcoupledcomplexnetworksongeneralgraphs AT xianfengzhou adaptiveexponentialsynchronizationofcoupledcomplexnetworksongeneralgraphs AT weijiang adaptiveexponentialsynchronizationofcoupledcomplexnetworksongeneralgraphs AT yizhengfan adaptiveexponentialsynchronizationofcoupledcomplexnetworksongeneralgraphs |