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| Title | Global cluster synchronization in nonlinearly coupled community networks with heterogeneous coupling delays |
| Creator | 曾睿彬 |
| Contributor | 應數系 |
| Key Words | Cluster synchronization; Coupled system; Neural network; Nonidentical node; Nonlinear coupling; Delay |
| Date | 2017-02 |
| Date Issued | 12-Jul-2017 15:13:20 (UTC+8) |
| Summary | This investigation establishes the global cluster synchronization of complex networks with a community structure based on an iterative approach. The units comprising the network are described by differential equations, and can be non-autonomous and involve time delays. In addition, units in the different communities can be governed by different equations. The coupling configuration of the network is rather general. The coupling terms can be non-diffusive, nonlinear, asymmetric, and with heterogeneous coupling delays. Based on this approach, both delay-dependent and delay-independent criteria for global cluster synchronization are derived. We implement the present approach for a nonlinearly coupled neural network with heterogeneous coupling delays. Two numerical examples are given to show that neural networks can behave in a variety of new collective ways under the synchronization criteria. These examples also demonstrate that neural networks remain synchronized in spite of coupling delays between neurons across different communities; however, they may lose synchrony if the coupling delays between the neurons within the same community are too large, such that the synchronization criteria are violated. |
| Relation | Neural Networks, 86, 18-31 |
| Type | article |
| DOI | http://dx.doi.org/10.1016/j.neunet.2016.07.011 |
| dc.contributor | 應數系 | |
| dc.creator (作者) | 曾睿彬 | zh-tw |
| dc.date (日期) | 2017-02 | |
| dc.date.accessioned | 12-Jul-2017 15:13:20 (UTC+8) | - |
| dc.date.available | 12-Jul-2017 15:13:20 (UTC+8) | - |
| dc.date.issued (上傳時間) | 12-Jul-2017 15:13:20 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/111016 | - |
| dc.description.abstract (摘要) | This investigation establishes the global cluster synchronization of complex networks with a community structure based on an iterative approach. The units comprising the network are described by differential equations, and can be non-autonomous and involve time delays. In addition, units in the different communities can be governed by different equations. The coupling configuration of the network is rather general. The coupling terms can be non-diffusive, nonlinear, asymmetric, and with heterogeneous coupling delays. Based on this approach, both delay-dependent and delay-independent criteria for global cluster synchronization are derived. We implement the present approach for a nonlinearly coupled neural network with heterogeneous coupling delays. Two numerical examples are given to show that neural networks can behave in a variety of new collective ways under the synchronization criteria. These examples also demonstrate that neural networks remain synchronized in spite of coupling delays between neurons across different communities; however, they may lose synchrony if the coupling delays between the neurons within the same community are too large, such that the synchronization criteria are violated. | |
| dc.format.extent | 1161191 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.relation (關聯) | Neural Networks, 86, 18-31 | |
| dc.subject (關鍵詞) | Cluster synchronization; Coupled system; Neural network; Nonidentical node; Nonlinear coupling; Delay | |
| dc.title (題名) | Global cluster synchronization in nonlinearly coupled community networks with heterogeneous coupling delays | |
| dc.type (資料類型) | article | |
| dc.identifier.doi (DOI) | 10.1016/j.neunet.2016.07.011 | |
| dc.doi.uri (DOI) | http://dx.doi.org/10.1016/j.neunet.2016.07.011 |