(ProQuest: ... denotes formulae omitted.)IntroductionThere are two key elements that motivated the researchers to investigate socio-cultural differences between different cultures and ethnic groups: Firstly, every country and ethnos has its own national idea that is explicitly or implicitly stated (e.g. wakon yosai in Japan combining Japanese spirit and Western knowledge) (Sawamura, 2002). Secondly, every national idea is based on a great historical period of a specific country that preceded and caused the appearance of the idea. And history is a process of cultural codes' mutation and accumulation (Canevacci, 1992). Cultural code is an object that represents cultural values as a sequence of characters. Therefore, there is an issue researchers have to face: using mathematical approach to describe the process of culture codes formation on macro-level (Malloy and Malloy, 1998). Cultural differences of Western and Eastern society models can be described by the means of sociology (Barkema et al., 2015).The most advanced from application potential point of view is the work of Rapaille (2007) that is dealing with the subject of studying various societies on the basis of collective unconscious. Bourdieu (1990) employs the frequency analysis of texts used to study the subject that was also studied in Rapaille (2007) by the means of sociological polls and interviews. National idea in these terms can be described as a system of cultural codes that that for some time can be considered to be a constant source of society evolution component. Turchin (1977) is close to our approach from the point of complexity theory as in this work meta-system transitions are described and substantiated in the humanity evolution process. The idea of cognitive factor in evolution process of living matter that was also well-described in Wynn (2002, Donald (1993), or, most notably, Red'ko (2014), with the latest being complementary to our work. Also, we most certainly agree with Bourdieu (1990) that cultural code is something similar to every set of habitus (system of acquired dispositions functioning on the practical level as categories of perception and assessment or as classificatory principles as well as being the organizing principles of action) of a particular social system.There are also other well-executed attempts to solve this problem that can be found in other research works (see e.g. Grinchenko and Shchapova, 2010; Lakic and Draskovic, 2015). However, their attempt is considered to be questionable because of the lack of substantiation for the statement that periods of human society development can be matched to a range of Fibonacci numbers. Other approaches that are described in other publication (see e.g. Walton and McKersie, 1965) are much closer to our approach from the point of methodology. However, some authors describe the methods that use labor division as a main criterion and therefore are more detailed and do not cover the very early phase of society evolution when gathering and hunting was the main domain of the human development. From our point of view, such approaches also provides questionable results by applying cultural values table to the global history without mentioning how these values were formed. From our point of view it might be much more correct to consider mega-historical role of cultural codes in lifestyles of nations and ethnos as it is done in Rapaille (2007). The effectiveness and high quality of Japanese labor is assumed to be a consequence of tough living conditions of high-populated nation with scarce natural resources. Antithetic situation was observed in America where the opposite cultural code hindered effective application of Japanese business strategies (see Rapaille, 2007, p. 108).1. Research methodologyIn outlining our research methods, we make an attempt to overcome the difficulties described in the similar works of other authors. These works are based on an idea that an increasing difficulty of social relations can be represented by increasing number of social institutions (kernels) and relations (evolution cycles) between them. …