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Synchronization patterns in geometrically frustrated rings of relaxation oscillators

Synchronization patterns in geometrically frustrated rings of relaxation oscillators

Coupled nonlinear oscillators can exhibit a wide variety of patterns. We study the Brusselator as a prototypical autocatalytic reaction diffusion model. Working in the limit of strong nonlinearity provides a clear timescale separation that leads to a canard explosion in a single Brusselator. In this highly nonlinear regime it is …