  The article presents results of preliminary study of solutions to recently
offered basic thermodynamic equation for equilibrium in chemical systems with
focus on chaotic behavior. Classical part of that equation was investigated
earlier in a series of papers. In this work a similarity between
one-dimensional logistic map and non-classical (chaotic) term of the equation
was discussed to introduce the problem. Results of this work allow us to
evaluate the region where open equilibrium belongs to the basin of regular
attractor and leads to trivial solutions with zero deviation from true
thermodynamic equilibrium, and then to find first bifurcation threshold as a
limit of open equilibrium and a limit of the classical region as well. Features
of the basic equation are discussed with regard to relative values of the
chaotic and thermodynamic temperatures. Obtained results prompt us to consider
the basic equation of new theory to be the general equation of state of
chemical systems.
