Chimera and other complex states in networks of coupled oscillators
Early Stage Researcher: Janis Goldschmidt
Principle Investigators: Arkady Pikovsky (Potsdam, UP – major institution), Antonio Politi (Aberdeen, UABDN – partner institution)
Dynamics of populations of coupled oscillators have been a subject of active research during the last decades. Although the basic effect – onset of synchronization – can be well understood with help of the simplest Kuramoto model, already minor generalizations have led to interesting features like partially coherent states self-organized quasiperiodicity, multi-branch entrainment, collective chaos. One of the striking novel regimes are so-called chimera states where, despite of full symmetry, a spontaneous breaking of the population into synchronized and desynchronized parts occurs.
The goal of the project is to understand the main mechanisms behind chimera and other nontrivial states in large populations of coupled oscillators. The problem will be attacked both numerically and analytically, with help of reduction approaches allowing one to derive low-dimensional equations for collective modes.
A. Yeldesbay, A. Pikovsky, and M. Rosenblum Chimera-like states in an ensemble of globally coupled oscillators Phys. Rev. Lett., v. 112, 144103 (2014)
M. Komarov and A. Pikovsky The Kuramoto model of coupled oscillators with a bi-harmonic coupling function Physica D, v. 289, 18-31 (2014)
S. Olmi, A. Politi, and A. Torcini Collective chaos in pulse-coupled neural networks EPL 92 60007 (2010)