Breathing and wiggling motions in three-species laterally inhibitory systems

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Abstract
We study the layer dynamics in a coupled set of reaction-diffusion systems describing the interaction of one activator and two inhibitors. In some special limits, this set of equations is reduced to a Bonhoeffer–van der Pol–type excitable system or a model for electric glow discharge. Dynamics of layers is investigated by an interfacial approach and complementarily by computer simulations. By changing the parameters, these layers undergo several sustained oscillations such as breathing, wiggling, and quasiperiodic motions, which are due to the competition of two inhibitors and one activator.

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