| 来源类型 | Article |
| 规范类型 | 其他 |
| DOI | 10.3934/mbe.2010.7.623 |
| Local stabilization and network synchronization: The case of stationary regimes. | |
| Fasani S; Rinaldi S | |
| 发表日期 | 2010 |
| 出处 | Mathematical Biosciences and Engineering 7 (3): 623-639 |
| 出版年 | 2010 |
| 语种 | 英语 |
| 摘要 | Relationships between local stability and synchronization in networks of identical dynamical systems are established through the Master Stability Function approach. First, it is shown that stable equilibria of the local dynamics correspond to stable stationary synchronous regimes of the entire network if the coupling among the systems is sufficiently weak or balanced (in other words, stationary synchronous regimes can be unstable only if the coupling is sufficiently large and unbalaned). Then, it is shown that [de]stabilizing factors at local scale are [de]synchronizing at global scale again if the coupling is sufficiently weak or balanced. These results allow one to transfer, with almost no effort, what is known for simple prototypical models in biology and engineering to complex networks composed of these models. This is shown through a series of applications ranging from networks of electrical circuits to various problems in ecology and sociology involving migrations of plants, animal and human populations. |
| 主题 | Evolution and Ecology (EEP) |
| 关键词 | Dynamical Systems Master Stability Function Networks Population Dynamics Stabilizing Factors Synchronization Synchronizing Factors |
| URL | http://pure.iiasa.ac.at/id/eprint/9222/ |
| 来源智库 | International Institute for Applied Systems Analysis (Austria) |
| 引用统计 | |
| 资源类型 | 智库出版物 |
| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/129112 |
| 推荐引用方式 GB/T 7714 | Fasani S,Rinaldi S. Local stabilization and network synchronization: The case of stationary regimes.. 2010. |
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