Stability of amplitude death in conjugate-coupled nonlinear oscillator networks

This paper is concerned with stability of amplitude death (AD) in conjugate-coupled Stuart-Landau (SL) limit-cycle oscillators. For two conjugate-coupled SL oscillators, the frequency mismatch is revealed to make no contribution to the stability of AD, which is solely determined by the mean frequency. For a mean-field system of N conjugate-coupled SL oscillators, analytic equations for the continuous and discrete spectra are derived, which govern the AD stability in the thermodynamic limit N -> infinity. Particularly, AD boundaries are explicitly calculated for the Lorentzian frequency distribution. For networked SL oscillators with conjugate coupling, AD is proved to be of topology-free. (c) 2022 Elsevier Ltd. All rights reserved.