Time delay effects on collective resonant behaviors in two coupled fractional oscillators with mass fluctuations

• Published in: Scientific reports Vol. 15; no. 1; pp. 2335 - 14
• Main Authors: Lin, Lifeng, Wang, Huiqi
• Format: Journal Article
• Language: English
• Published: London Nature Publishing Group UK 17.01.2025; Nature Publishing Group; Nature Portfolio
• Subjects: 631/57/2272/2275; 639/705/1041; 639/766/530; Behavior; Collective resonant behavior; Coupled fractional oscillators; Generalized stochastic resonance (GSR); Humanities and Social Sciences; Investigations; Mass fluctuation; Memory; multidisciplinary; Noise; Oscillators; Science; Science (multidisciplinary); Simulation; Synchronization; Time delay; Viscoelasticity; Generalized stochastic resonance (GSR); Collective resonant behavior; Time delay; Mass fluctuation; Coupled fractional oscillators

In this study, we introduce a coupled fractional system consisting of two fluctuating-mass oscillators with time delay and investigate their collective resonant behaviors. First, we achieve complete synchronization between the average behaviors of these oscillators. We then derive the exact analytic...