Internal fluctuations and deterministic chemical chaos

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Abstract
The effects of internal noise on chaotic and periodic dynamics of a chemical system are investigated. Calculations are carried out for a mesoscopic model of the Williamowski-Rössler reaction, a mass-action model that displays deterministic chemical chaos. The model incorporates internal fluctuations that arise from the reactive and diffusion processes in the system. The character of noisy dynamics is analyzed and questions related to the validity of deterministic models in the chaotic regime are discussed. The interplay among spatial degrees of freedom, system size, and internal fluctuations are studied for this chaotic dynamical system.