Synchronization Dynamics in the Presence of Coupling Delays and Phase Shifts

Abstract

In systems of coupled oscillators, the effects of complex signaling can be captured by time delays and phase shifts. Here, we show how time delays and phase shifts lead to different oscillator dynamics and how synchronization rates can be regulated by substituting time delays by phase shifts at constant collective frequency. For spatially extended systems with time delays, we show that fastest synchronization can occur for intermediate wavelengths, giving rise to novel synchronization scenarios.

5 pages, 3 figures

References in corpus (3)

• Intercellular Coupling Regulates the Period of the Segmentation Clock
• Delayed coupling theory of vertebrate segmentation
• Collective modes of coupled phase oscillators with delayed coupling

Cited by in corpus (8)

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• Erosion of synchronization in networks of coupled oscillators
• On the onset of synchronization of Kuramoto oscillators in scale-free networks
• Active hydrodynamics of synchronization and ordering in moving oscillators
• Mobility-induced persistent chimera states
• Stochastic Kuramoto oscillators with discrete phase states
• Nonlinear transient waves in coupled phase oscillators with inertia
• Morphogen-regulated contact-mediated signaling between cells can drive the transitions underlying body segmentation in vertebrates