Calculus of iterations and dynamics of physicochemical reactions

The analogy between the basic relationships of the π-theorem of the theory of dimensionality and the principle of minimum free energy for complex chemical equilibrium is the basis for formulating new extreme principles and a mathematical model for describing the dynamics of chemical reactions (Gontar, 1976). The monopoly of differential equations for describing all kinds of dynamics was broken by these results, yielding algebraic and difference equations for simulation of the temporal and spatial behavior of processes with chemical reactions. All types of oscillations, including chaotic regimes, are obtained as a property of systems of difference equations derived from the new dynamics theory. The traditional concepts about continuous time and space, determinism and randomness, computer-aided simulations in non-linear systems with chaotic behavior, will have to be changed to agree with the results presented.