Dynamics of coupled Kuramoto oscillators with distributed delays

Abstract

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Energy transfer and coherence in coupled oscillators with delayed coupling: a classical picture of two-level systems

“…However, with the emergence of attosecond experimental capabilities, there is a a growing interest in introducing time delay into the coupling [22][23][24][25][26]. Actually, this was even proceeded by considering coupling with induced delay, as in optical resonators [27,28], non-local coupled oscillators [29][30][31][32], and systems with delay feedback [33][34][35][36]. In this work, we extend the Frimmer-Novotny model to emulate two-level systems [10,11,37] by incorporating a constant time delay into the coupling and studying the delay effects on system dynamics.…”

Stabilization for Stochastic Coupled Kuramoto Oscillators via Nonlinear Distributed Feedback Control

“…In [15], a novel method of perceptual grouping model is proposed based on CKOs, which can dramatically improve the convergence speed, anti-noise ability and computing performance. So far, CKOs have been applied in various fields broadly, such as engineering, chemistry, biology and mathematics [17][18][19][20][21][22]. However, CKOs in the real world are always affected by environmental noise inevitably, which may change the dynamical properties of CKOs in general, and stochastic models are more consistent with the actual world relatively [2,[23][24][25].…”