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Monday 21 Jan 2019Dynamics Seminar: Solitary States for Coupled Oscillators and Power Grids

Yuri Maistrenko - Kiev

H209 14:30-15:30

Networks of coupled oscillators with inertia can display remarkable spatiotemporal patterns in which one or a few oscillators split off from the main synchronized cluster and start oscillate with different averaged frequency (Poincare winding number). These are so-called solitary states. They are impossible in pure phase Kuramoto model with sinusoidal coupling. However, they become generic as soon as inertia is introduced obeying an essential domain of the parameter space. We report the solitary state appearance for Kuramoto model with inertia with local, non-local, and global couplings. It is shown that solitary states arise in a homoclinic bifurcation and they preserve in both thermodynamic and conservative limits [1]. We find that this kind striking behavior is characteristic for power grids, considering a sample circle model and the Scandinavian grid. In power grids, solitary states co-exist with the desired synchronous regimeand hence, they can provoke a prompt grid desynchronization when sudden (not small) disturbances occur [2].

[1] P. Jaros, D. Dudkovsky, S. Brezetsky, R. Levchenko, T. Kapitaniak, and Yu. Maistrenko, Solitary states for coupled oscillators with inertia. Chaos 28, 011103 (2018).

[2] F. Hellman, P. Schultz, P. Jaros, R. Levchenko, T. Kapitaniak, J.Kurths, and Yu.Maistrenko,. Network induced multistability: Lossy coupling and exotic solitary states. (sumbitted).

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