Amplitude Chimeras and Chimera Death in Ring Networks

Abstract

In the present chapter, we discuss special types of chimera states: amplitude chimeras and chimera death. In the intriguing amplitude chimera regime, coherence-incoherence patterns are formed with respect to the amplitudes only. Chimera death generalizes chimera patterns to steady states through the death of oscillations. We first describe amplitude chimeras and chimera death in the deterministic case without time delay. Further, efficient control mechanisms based on time delay and noise are discussed. In particular, we address the question of how time delay and noise influence the behavior of amplitude chimera states in ring networks of Stuart-Landau oscillators.