14.05 Synchronization in Co-Evolutionary Network Dynamics (SEND)
The aim of the SEND project is to study Synchronization in co-Evolutionary Network Dynamics. Co-evolutionary (or adaptive) dynamics describes the interplay between dynamics of and on the network. Synchronization is a fundamental effect modeled via frequency-locked or phase-locked dynamics of subsets of nodes.
In this project we are going to develop and analyze co-evolutionary extensions to the Kuramoto model, which is classically posed on a fixed network structure. The new Kuramoto variants are directly motivated by coupled socio-biological systems. We are going to analyze these new models using techniques from mathematical multiscale dynamics, bifurcation theory, non-equilibrium statistical physics, complex networks, and graph limits. Furthermore, we have several multi-layered socio-biological network data sets available to compare our results to regarding model development and benchmarking.
Team
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Project team leader
Dr. Iacopo Longo
Chair of Multiscale and Stochastic Dynamics | TUM
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Co-Project Team Leader
Dr. Hildeberto Jardon-Kojakhmetov
Chair of Multiscale and Stochastic Dynamics | TUM
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Doctoral researcher
Marios Gkogkas
Chair of Multiscale and Stochastic Dynamics | TUM
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Doctoral Researcher
Benjamin Jüttner
Department of Applied Mathematics and Computer Science | DTU
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Doctoral researcher
Maximilian Steinert
Chair of Multiscale and Stochastic Dynamics | TUM
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Doctoral Researcher
t.b.a.
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Principal Investigator
Professor Christian Kuehn
Chair of Multiscale and Stochastic Dynamics | TUM
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Principal Investigator
Professor Erik Andreas Martens
Department of Applied Mathematics and Computer Science | DTU
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Principal Investigator
Professor Sune Lehmann
Department of Applied Mathematics and Computer Science | DTU