Emergent behavior of conjugate-coupled Stuart-Landau oscillators in directed star networks

This study focuses on emergent macroscopic collective behavior of the conjugate coupled Stuart-Landau (SL) oscillator system in directed star networks. The stable basins of oscillation death, amplitude death, quenched hub incoherence, quenched leaves incoherence, and remote synchronization (RS) are confirmed by analytical and/or numerical methods. Their stable regions are closely influenced and determined by the Hopf parameter a and the coupling scheme. Conjugate coupling can induce multiple types of RS behavior, particularly in oscillators rotate non-harmonically, which is extremely distinct from the harmonic ones associated with the coupling through similar variables. All the obtained results are independent of the network size. In addition, the analytical results are well-validated by numerical simulation.(c) 2023 Elsevier B.V. All rights reserved.