The concept of an order and its application for research of the deterministic chains of symbols

The present work is dedicated to searching parameters, alternative to entropy, applicable for description of highly organized systems. The general concept has been offered, in which the system complexity and order are functions of the order establishment rules. The concept of order poles has been introduced. The concept is being applied to definition of the order parameter (OP) for non-random sequences with equal number of zeros and ones. Properties of the OP are being studied. Definition of the OP is being compared to classical definition of amount of information. 1 The complexity and order concept The determined chain term means the readable object that gives the same sequence of characters for any rereading. These chains are, for example, DNA, RNA, proteins, any book on the shelf. The issue of how to determine degree of order and amount of information in this system is under discussion since publication of Shannon’s [1] works. The Shannon’s entropy is the parameter that describes uncertainty of the system. Information is regarded as elimination of uncertainty and is calculated provided probabilities of occurrence of symbols from a given alphabet are defined [2]. Applying entropy to determined sequences we simulate it by random sequence of characters. In 1965, A.N. Kolmogorov [3] turned his attention to limitations of the