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| Title | A novel approach to synchronization of nonlinearly coupled network systems with delays |
| Creator | 曾睿彬 Tseng, Jui Pin |
| Contributor | 應數系 |
| Key Words | Linear systems; Time delay; Coupled systems; Delay; Fitzhugh Nagumo neurons; FitzHugh-Nagumo systems; Global synchronization; Nonlinear coupling; Nonlinearly-coupled networks; Oscillatory behaviors; Synchronization |
| Date | 2016-06 |
| Date Issued | 23-Aug-2017 10:42:55 (UTC+8) |
| Summary | In this investigation, a novel approach to establishing the global synchronization of coupled network systems is presented. Under this approach, individual subsystems can be non-autonomous, and the coupling configuration is rather general. The coupling terms can be non-diffusive, nonlinear, time-dependent, asymmetric, and with time delays. With an iteration scheme, the problem of synchronization is transformed into solving a corresponding linear system of algebraic equations. Subsequently, delay-dependent and delay-independent criteria for global synchronization can be established. We implement the present approach to analyze synchronization of the FitzHugh-Nagumo systems under delayed and nonlinear sigmoidal coupling. Two examples are presented to demonstrate new dynamical scenarios, where oscillatory behavior and multistability emerge or are suppressed as the coupled neurons synchronize under the synchronization criterion. In addition, asynchrony induced by the coupling strength or coupling delay occurs while the synchronization criterion is violated. |
| Relation | Physica A: Statistical Mechanics and its Applications, 452, 266-280 |
| Type | article |
| DOI | http://dx.doi.org/10.1016/j.physa.2016.02.025 |
| dc.contributor | 應數系 | |
| dc.creator (作者) | 曾睿彬 | zh_tw |
| dc.creator (作者) | Tseng, Jui Pin | en_US |
| dc.date (日期) | 2016-06 | |
| dc.date.accessioned | 23-Aug-2017 10:42:55 (UTC+8) | - |
| dc.date.available | 23-Aug-2017 10:42:55 (UTC+8) | - |
| dc.date.issued (上傳時間) | 23-Aug-2017 10:42:55 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/112103 | - |
| dc.description.abstract (摘要) | In this investigation, a novel approach to establishing the global synchronization of coupled network systems is presented. Under this approach, individual subsystems can be non-autonomous, and the coupling configuration is rather general. The coupling terms can be non-diffusive, nonlinear, time-dependent, asymmetric, and with time delays. With an iteration scheme, the problem of synchronization is transformed into solving a corresponding linear system of algebraic equations. Subsequently, delay-dependent and delay-independent criteria for global synchronization can be established. We implement the present approach to analyze synchronization of the FitzHugh-Nagumo systems under delayed and nonlinear sigmoidal coupling. Two examples are presented to demonstrate new dynamical scenarios, where oscillatory behavior and multistability emerge or are suppressed as the coupled neurons synchronize under the synchronization criterion. In addition, asynchrony induced by the coupling strength or coupling delay occurs while the synchronization criterion is violated. | |
| dc.format.extent | 211 bytes | - |
| dc.format.mimetype | text/html | - |
| dc.relation (關聯) | Physica A: Statistical Mechanics and its Applications, 452, 266-280 | |
| dc.subject (關鍵詞) | Linear systems; Time delay; Coupled systems; Delay; Fitzhugh Nagumo neurons; FitzHugh-Nagumo systems; Global synchronization; Nonlinear coupling; Nonlinearly-coupled networks; Oscillatory behaviors; Synchronization | |
| dc.title (題名) | A novel approach to synchronization of nonlinearly coupled network systems with delays | en_US |
| dc.type (資料類型) | article | |
| dc.identifier.doi (DOI) | 10.1016/j.physa.2016.02.025 | |
| dc.doi.uri (DOI) | http://dx.doi.org/10.1016/j.physa.2016.02.025 |