COST Action CA18232 Mathematical models for interacting dynamics on networks

Mutlu G., Kramar Fıjavz M.(Yürütücü), Nakıć I.(Yürütücü), Mugnolo D.

AB Destekli Diğer Projeler, 2019 - 2023

Proje Türü: AB Destekli Diğer Projeler
Başlama Tarihi: Haziran 2019
Bitiş Tarihi: Ekim 2023

Proje Özeti

Many physical, biological, chemical, financial or even social phenomena can be described by dynamical systems. It is quite common that the dynamics arises as a compound effect of the interaction between sub-systems in which case we speak about coupled systems. This Action shall study such interactions in particular cases from three points of view:

the abstract approach to the theory behind these systems,
applications of the abstract theory to coupled structures like networks, neighbouring domains divided by permeable membranes, possibly non-homogeneous simplicial complexes, etc.,
modelling real-life situations within this framework.

The purpose of this Action is to bring together leading groups in Europe working on a range of issues connected with modelling and analysing mathematical models for dynamical systems on networks. It aims to develop a semigroup approach to various (non-)linear dynamical systems on networks as well as numerical methods based on modern variational methods and applying them to road traffic, biological systems, and further real-life models. The Action also explores the possibility of estimating solutions and long time behaviour of these systems by collecting basic combinatorial information about underlying networks.