Chimera states are among the most intriguing and studied types of partial synchronization. In small systems, which are the most relevant for experimental scenarios, chimera states present different types of instabilities. Therefore, it is natural to investigate methods to control them. We propose a control mechanism based on the idea of a pacemaker oscillator, which allows to control the position of a chimera state within a network and to prevent its collapse to the fully synchronous state. We show how this mechanism developed for ring networks of phase oscillators can be applied to multilayer networks with more complex node dynamics, such as FitzHugh-Nagumo oscillators. In particular we show that the pacemaker allows to remotely control a chimera state via the interlayer coupling.
Tobias Galla 971 25 98 77 Contact form