Noise-Sustained Pulsating Patterns and Global Oscillations in Subexcitable Media

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Abstract
The constructive role of noise in an excitable activator-inhibitor medium is analyzed. Noise acts parametrically on the excitation threshold of the system, and is seen to support the existence of pulsating spots in the subexcitable regime. Increasing values of the noise intensity in this regime lead to a collective state in which all the elements of the system fire synchronously. The spectral characteristics of the resulting global oscillations are also studied as a function of the noise intensity, showing the typical fingerprint of stochastic resonance.