Stochastic dynamics on networks and metastability (B04)

• Subject Area: Mathematics
• Term: from 2017 to 2021
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 317210226

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.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1283: Taming uncertainty and profiting from randomness and low regularity in analysis, stochastics and their applications
• Applicant Institution: Universität Bielefeld
• Project Head: Professorin Dr. Barbara Gentz