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| Title | Uniform ultimate boundedness and approximate synchronization of coupled reaction-diffusion systems with parameter mismatches |
| Creator | 曾睿彬 Tseng, Jui-Pin |
| Contributor | 應數系 |
| Key Words | Approximate synchronization; Uniform ultimate boundedness; Reaction-diffusion; Coupled system; Parameter mismatch |
| Date | 2024-05 |
| Date Issued | 8-May-2024 10:48:34 (UTC+8) |
| Summary | We present a framework for studying the uniform ultimate boundedness and approximate synchronization of coupled systems. The individual subsystems of the coupled systems are described by general reaction-diffusion (RD) systems, and we account for parameter mismatches between individual subsystems while considering a general coupling scheme. We derive several criteria for the uniform ultimate boundedness of coupled RD systems under different assumptions regarding the properties of the reaction terms and coupling schemes. Using M-matrix theory and iterative methods, we establish an approximate synchronization criterion for the coupled RD systems. This criterion allows the coupled systems to synchronize with synchronization errors arising from parameter mismatches, and perfect synchronization is achieved when there are no parameter mismatches. Moreover, the criterion provides an estimated bound for the synchronization error, which decreases as the degree of inhomogeneity caused by parameter mismatches reduces. To demonstrate the effectiveness of our approaches, we apply our theories to the FitzHugh-Nagumo (FHN) neuron model. |
| Relation | Journal of Mathematical Analysis and Applications, Vol.533, No.1, 127993 |
| Type | article |
| DOI | https://doi.org/10.1016/j.jmaa.2023.127993 |
| dc.contributor | 應數系 | |
| dc.creator (作者) | 曾睿彬 | |
| dc.creator (作者) | Tseng, Jui-Pin | |
| dc.date (日期) | 2024-05 | |
| dc.date.accessioned | 8-May-2024 10:48:34 (UTC+8) | - |
| dc.date.available | 8-May-2024 10:48:34 (UTC+8) | - |
| dc.date.issued (上傳時間) | 8-May-2024 10:48:34 (UTC+8) | - |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/151142 | - |
| dc.description.abstract (摘要) | We present a framework for studying the uniform ultimate boundedness and approximate synchronization of coupled systems. The individual subsystems of the coupled systems are described by general reaction-diffusion (RD) systems, and we account for parameter mismatches between individual subsystems while considering a general coupling scheme. We derive several criteria for the uniform ultimate boundedness of coupled RD systems under different assumptions regarding the properties of the reaction terms and coupling schemes. Using M-matrix theory and iterative methods, we establish an approximate synchronization criterion for the coupled RD systems. This criterion allows the coupled systems to synchronize with synchronization errors arising from parameter mismatches, and perfect synchronization is achieved when there are no parameter mismatches. Moreover, the criterion provides an estimated bound for the synchronization error, which decreases as the degree of inhomogeneity caused by parameter mismatches reduces. To demonstrate the effectiveness of our approaches, we apply our theories to the FitzHugh-Nagumo (FHN) neuron model. | |
| dc.format.extent | 106 bytes | - |
| dc.format.mimetype | text/html | - |
| dc.relation (關聯) | Journal of Mathematical Analysis and Applications, Vol.533, No.1, 127993 | |
| dc.subject (關鍵詞) | Approximate synchronization; Uniform ultimate boundedness; Reaction-diffusion; Coupled system; Parameter mismatch | |
| dc.title (題名) | Uniform ultimate boundedness and approximate synchronization of coupled reaction-diffusion systems with parameter mismatches | |
| dc.type (資料類型) | article | |
| dc.identifier.doi (DOI) | 10.1016/j.jmaa.2023.127993 | |
| dc.doi.uri (DOI) | https://doi.org/10.1016/j.jmaa.2023.127993 |