Regensburg 2022 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 45: Poster Session: Nonlinear Dynamics, Pattern Formation, Data Analytics and Machine Learning

DY 45.6: Poster

Donnerstag, 8. September 2022, 15:00–18:00, P2

Network complexity versus network synchronicity: A case study of the Kuramoto model on complex networks — Archan Mukhopadhyay and •Jens Christian Claussen — University of Birmingham, UK

During the last two decades, complexity measures for graphs and networks have gained significant attention (see [1] for a comparison), especially in the aim to distinguish "complex" topologies from regular lattices as well as random structures. However, what is the influence of topology on dynamics? Here we specifically analyze synchronization in a network of Kuramoto oscillators where the topology (between a high-complexity graph and a random graph) is parameterized by a complexity measure, as Offdiagonal Complexity [2] or one of the other graph complexity measures. This approach may provide a new light on both the influence of complexity on synchronization, as well as the complexity measures and which aspects of dynamical complexity these may predict.

[1] J. Kim, T. Wilhelm, Physica A 387, 2637 (2008)

[2] Jens Christian Claussen, Physica A 375, 365 (2007)