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Complex dynamics in adaptive phase oscillator networks
Benjamin Jüttner, Erik Andreas Martens
Networks of coupled dynamical units give rise to collective dynamics such as the synchronization of oscillators or neurons in the brain. The ability of the network to adapt couplin…
Symmetry breaking yields chimeras in two small populations of Kuramoto-type oscillators
Oleksandr Burylko, Erik Andreas Martens, Christian Bick
Despite their simplicity, networks of coupled phase oscillators can give rise to intriguing collective dynamical phenomena. However, the symmetries of globally and identically coup…
Graphop Mean-Field Limits and Synchronization for the Stochastic Kuramoto Model
Marios Antonios Gkogkas, Benjamin Jüttner, Christian Kuehn +1
Models of coupled oscillator networks play an important role in describing collective synchronization dynamics in biological and technological systems. The Kuramoto model describes…