Delay-induced patterns in a two-dimensional lattice of coupled oscillators

Abstract

We show how a variety of stable spatio-temporal periodic patterns can be created in 2D-lattices of coupled oscillators with non-homogeneous coupling delays. A "hybrid dispersion relation" is introduced, which allows studying the stability of time-periodic patterns analytically in the limit of large delay. The results are illustrated using the FitzHugh-Nagumo coupled neurons as well as coupled limit cycle (Stuart-Landau) oscillators.

References in corpus (4)

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Cited by in corpus (7)

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• Unraveling coherent quantum feedback for Pyragas control
• Delay engineered solitary states in complex networks
• In-phase synchronization in complex oscillator networks by adaptive delayed feedback control
• Role of coupling delay in oscillatory activity in autonomous networks of excitable neurons with dissipation
• Bifurcation analysis and multistability detection of two delay-coupled FHN neurons
• Fast generation of stability charts for time-delay systems using continuation of characteristic roots