Exponential Synchronization of Two Nonlinearly Coupled Complex Networks with Time-Varying Delayed Dynamical Nodes
This paper investigates the exponential synchronization between two nonlinearly coupled complex networks with time-varying delay dynamical nodes. Based on the Lyapunov stability theory, some criteria for the exponential synchronization are derived with adaptive control method. Moreover, the presente...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/649350 |
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| _version_ | 1832552999078068224 |
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| author | Wei Shao |
| author_facet | Wei Shao |
| author_sort | Wei Shao |
| collection | DOAJ |
| description | This paper investigates the exponential synchronization between two nonlinearly coupled complex networks with time-varying delay dynamical nodes. Based on the Lyapunov stability theory, some criteria for the exponential synchronization are derived with adaptive control method. Moreover, the presented results here can also be applied to complex dynamical networks with single time delay case. Finally, numerical analysis and simulations for two nonlinearly coupled networks which are composed of the time-delayed Lorenz chaotic systems are given to demonstrate the effectiveness and feasibility of the proposed complex network synchronization scheme. |
| format | Article |
| id | doaj-art-a226d93a80ed4e7bbf6a64d73dcb4e37 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a226d93a80ed4e7bbf6a64d73dcb4e372025-02-03T05:57:10ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/649350649350Exponential Synchronization of Two Nonlinearly Coupled Complex Networks with Time-Varying Delayed Dynamical NodesWei Shao0School of Economics and International Trade, Zhejiang University of Finance and Economics, Hangzhou, Zhejiang 310018, ChinaThis paper investigates the exponential synchronization between two nonlinearly coupled complex networks with time-varying delay dynamical nodes. Based on the Lyapunov stability theory, some criteria for the exponential synchronization are derived with adaptive control method. Moreover, the presented results here can also be applied to complex dynamical networks with single time delay case. Finally, numerical analysis and simulations for two nonlinearly coupled networks which are composed of the time-delayed Lorenz chaotic systems are given to demonstrate the effectiveness and feasibility of the proposed complex network synchronization scheme.http://dx.doi.org/10.1155/2014/649350 |
| spellingShingle | Wei Shao Exponential Synchronization of Two Nonlinearly Coupled Complex Networks with Time-Varying Delayed Dynamical Nodes Abstract and Applied Analysis |
| title | Exponential Synchronization of Two Nonlinearly Coupled Complex Networks with Time-Varying Delayed Dynamical Nodes |
| title_full | Exponential Synchronization of Two Nonlinearly Coupled Complex Networks with Time-Varying Delayed Dynamical Nodes |
| title_fullStr | Exponential Synchronization of Two Nonlinearly Coupled Complex Networks with Time-Varying Delayed Dynamical Nodes |
| title_full_unstemmed | Exponential Synchronization of Two Nonlinearly Coupled Complex Networks with Time-Varying Delayed Dynamical Nodes |
| title_short | Exponential Synchronization of Two Nonlinearly Coupled Complex Networks with Time-Varying Delayed Dynamical Nodes |
| title_sort | exponential synchronization of two nonlinearly coupled complex networks with time varying delayed dynamical nodes |
| url | http://dx.doi.org/10.1155/2014/649350 |
| work_keys_str_mv | AT weishao exponentialsynchronizationoftwononlinearlycoupledcomplexnetworkswithtimevaryingdelayeddynamicalnodes |