图 书 馆
网络之网与气候系统Network of Networks and the Climate System |
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| 课程网址: | http://videolectures.net/kolokviji_kurths_dynamical_systems/ |
| 主讲教师: | Jürgen Kurths |
| 开课单位: | 波茨坦气候影响研究所 |
| 开课时间: | 2013-09-07 |
| 课程语种: | 英语 |
| 中文简介: |  同步现象在自然界、科学、工程和社会生活中非常普遍，例如在风琴管、萤火虫甚至桥梁力学中。但是，克里斯蒂安·惠更斯 (Christiaan Huygens) 于 1665 年首次确认了耦合摆钟的同步性。这是非线性科学的开端。在过去的二十年里，这个概念已经成功地扩展到更复杂的系统，如耦合混沌振荡器，甚至分布式系统，如复杂网络。复杂网络是由 Leonhard Euler 在 1736 年解决 Königsberger Brückenproblem 时首次研究的。最近的研究揭示了各种模型系统以及多个应用领域（例如交通和社交网络或 WWW）中丰富而复杂的网络拓扑。我们将讨论活动复杂网络上的同步现象。我们将报告当振荡元件被限制在复杂的网络拓扑中交互时，同步现象的理解方面的进展。我们还将展示从潜在连接模式的结构和功能之间的相互作用中产生的新出现的特征。动态网络中的经典局部稳定性与新的盆地稳定性概念进行了比较。最后，给出了同步在从人脑到电网到气候的复杂网络中的几种应用。 |
| 课程简介: | Synchronization phenomena are abundant in nature, science, engineering and social life, such as in organ pipes, fireflies and even in the mechanics of bridges. But synchronization was first recognized by Christiaan Huygens in 1665 for coupled pendulum clocks; this was the beginning of nonlinear sciences. In the last two decades, this concept has been successfully extended to more complex systems, as coupled chaotic oscillators and even distributed systems as complex networks. Complex networks were first studied by Leonhard Euler in 1736 when he solved the Königsberger Brückenproblem. Recent research has revealed a rich and complicated network topology in various model systems as well as in several fields of applications, such as transportation and social networks, or the WWW. We will discuss synchronization phenomena on active complex networks. We will report the advances in the comprehension of synchronization phenomena when oscillating elements are constrained to interact in a complex network topology. We will also present new emergent features coming out from the interplay between the structure and the function of the underlying patterns of connections. The classic local stability in dynamic networks is compared to the new basin stability concept. Finally, several applications of synchronization in complex networks from human brain via power grids to climate are given. |
| 关 键 词: | 同步现象; 非线性科学; 复杂网络 |
| 课程来源: | 视频讲座网 |
| 数据采集: | 2021-06-17：liyy |
| 最后编审: | 2021-06-17：liyy |
| 阅读次数: | 49 |