event
Thursday 02 Feb 2023: Bifurcation Analysis of Twisted States in Phase Oscillator Networks.
Tobias Böhle - VU Amsterdam
Harrison 101 14:30-15:30
The Kuramoto model provides a prototypical framework to study the dynamics of interacting particle systems. The classical heterogeneous Kuramoto model exhibits two main dynamically important states - desynchronization and partial synchronization. However, when considering identical oscillators on graphs, the Kuramoto model can exhibit more interesting states such as uniformly twisted states. The stability of these twisted states on nearest-neighbour networks was analysed by Wiley, Strogatz and Girvan in 2006. In this talk, we will analyse the bifurcation in which these twisted states lose their stability upon varying parameters, such as the coupling range, of the system. We investigate the existence and shape of bifurcating equilibria in the infinite particle limit.
