Stochastic dynamics on networks and metastability (B04)

网络随机动力学和亚稳态（B04）

• 批准号: 366822673
• 金额: --
• 依托单位: Fakultät für Mathematik
• 依托单位国家: 德国
• 项目类别: Collaborative Research Centres
• 财政年份: 2017
• 资助国家: 德国
• 起止时间: 2016-12-31 至 2020-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/366822673?language=en
• 关键词: Stochastic; dynamics; networks; metastability; B04

This project focuses on questions of stability and metastability for stochastic dynamical networks. On the one hand, in view of the high complexity of large networks as they occur in many applications, we will extend the approach of isospectral transformations for deterministic dynamical networks to a variety of stochastic networks. The goal is to simplify a given network systematically in such a way that its stability or metastability can be studied for the simpler network. On the other hand, we will address the effect of noise on the dynamical properties of certain classes of networks such as feed-forward networks and coupled Hamiltonian systems.

该项目着重于随机动态网络的稳定性和亚竞争力问题。一方面，鉴于大型网络在许多应用中发生的高复杂性，我们将扩展到确定性动态网络的同一转换的方法到各种随机网络。目的是系统地简化给定网络，以使其稳定性或能力可以研究更简单的网络。另一方面，我们将解决噪声对某些类别网络的动态属性的影响，例如前馈网络和耦合的汉密尔顿系统。