2020/07/28 by Erik Genge, Genge, Erik, Erik Teichmann +5 · 6 citations
Computer Science · Engineering · Materials Science · #Nonlinear Dynamics and Pattern Formation #Acoustic Wave Resonator Technologies #Liquid Crystal Research Advancements
paper · pdf · doi:10.48550/arxiv.2007.14077
We explore the phase reduction in networks of coupled oscillators in the higher orders of the coupling parameter. For coupled Stuart-Landau oscillators, where the phase can be introduced explicitly, we develop an analytic perturbation procedure to allow for the obtaining of the higher-order approximation explicitly. We demonstrate this by deriving the second-order phase equations for a network of three Stuart-Landau oscillators. For systems where explicit expressions of the phase are not available, we present a numerical procedure that constructs the phase dynamics equations for a small network of coupled units. We apply this approach to a network of three van der Pol oscillators and reveal components in the coupling with different scaling in the interaction strength.