Regular and irregular patterns of self-localized excitation in arrays of coupled phase oscillators.
American Institute of Physics (AIP)
We study a system of phase oscillators with nonlocal coupling in a ring that supports self-organized patterns of coherence and incoherence, called chimera states. Introducing a global feedback loop, connecting the phase lag to the order parameter, we can observe chimera states also for systems with a small number of oscillators. Numerical simulations show a huge variety of regular and irregular patterns composed of localized phase slipping events of single oscillators. Using methods of classical finite dimensional chaos and bifurcation theory, we can identify the emergence of chaotic chimera states as a result of transitions to chaos via period doubling cascades, torus breakup, and intermittency. We can explain the observed phenomena by a mechanism of self-modulated excitability in a discrete excitable medium.
We want to thank Y. L. Maistrenko for pointing out to us the importance of small size chimera states. M.W. acknowledges the support by DFG within the collaborative research center SFB 910.
This is the author manuscript. The final version is available from the publisher via the DOI in this record.
Vol. 25, 053113
Place of publication