| Abstract: |
| In my talk I shall provide a short survey of recent results I have obtained with a number of co-authors on considering Kuramoto-type models, where adaptive (or co-evolutionary) and higher-order (or polyadic) aspects play a key role. In particular, I shall discuss structural issues (e.g., how do simplicial and non-simplicical aspects form adaptively or arise via modelling), mean-field limits (on graph limits), as well as solutions to the resulting bifurcation problems. This highlights the importance of combining different mathematical approaches to understand Kuramoto-type models from first principles up to eventually understanding their complex dynamics. |
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