Mathematical models for interacting dynamics on networks (MAT-DYN-NET)

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Ulutaş E.

TÜBİTAK - AB COST Projesi , 2019 - 2024

• Proje Türü: TÜBİTAK - AB COST Projesi
• Başlama Tarihi: Ekim 2019
• Bitiş Tarihi: Nisan 2024

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:

1. the abstract approach to the theory behind these systems,
2. applications of the abstract theory to coupled structures like networks, neighbouring domains divided by permeable membranes, possibly non-homogeneous simplicial complexes, etc.,
3. 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.