Stability of amplitude death in conjugate-coupled nonlinear oscillator networks. (September 2022)

• Record Type: Journal Article
• Authors: Zou, Wei; He, Sujuan; Yao, Chenggui
• Is Part Of: Applied mathematics letters. Volume 131(2022)
• Publication Date: 2022-09
• Subjects: Stability -- Stuart–Landau limit-cycle oscillator -- Coupled oscillators -- Amplitude death -- Conjugate coupling; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2022.108052
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: 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 → ∞ . 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.