Dynamics of Oscillatory Chemical Systems

Self-sustained oscillations and related phenomena (excitability, bursting, etc.) in chemical systems arise from special feedback interactions constrained by stoichiometric relations. This makes it possible to predict oscillatory, excitatory or multistable behavior of spatially homogeneous chemical systems directly from their underlying kinetics. We review the basic patterns of behaviour of three experimentally well-studied reactions and discuss consistence with the respective mathematical models. Using a reduction of the system to a phase mapping, we also discuss excitatory dynamics that emerge when such systems are coupled via mass transfer and/or are periodically stimulated. Analogies with biological oscillatory and excitatory systems are pointed out.

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