Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
Doi
Abstract
Chimera states are complex spatio-temporal patterns, which consist of
coexisting domains of spatially coherent and incoherent dynamics in systems
of coupled oscillators. In small networks, chimera states usually exhibit
short lifetimes and erratic drifting of the spatial position of the
incoherent domain. A tweezer feedback control scheme can stabilize and fix
the position of chimera states. We analyse the action of the tweezer control
in small nonlocally coupled networks of Van der Pol and FitzHugh-Nagumo
oscillators, and determine the ranges of optimal control parameters. We
demonstrate that the tweezer control scheme allows for stabilization of
chimera states with different shapes, and can be used as an instrument for
controlling the coherent domains size, as well as the maximum average
frequency difference of the oscillators
