CRITERIA OF SELF-ORGANIZATION

The aim of this paper is to represent the different criteria of the re lative degree of order (or of chaos) in nonequilibrium states of open systems. We shall use as the main criterion the Boltzmann-Gibbs-Shanno n entropy, renormalized to a given value of mean effective energy-the effective Hamiltonian function. This criterion is formulated as 'S-the orem'. 'S' stands for 'Self-organization' to emphasize that the S-theo rem is a criterion of the self-organization. The S-theorem serves also as a tool for checking on the correct choice of the controlling param eters. The comparative analysis of different criteria of self-organiza tion is presented. The connection with the different characteristics o f chaotic system (Krylov-Kolmogorov-Sinai (K-entropy) entropy, Lyapuno v exponents, Kullback entropy gain, Renyi entropy, nonlinear K-nl-entr opy, statistical K-st-entropy) are considered.