Dynamic Non-Linear Model of Distribution and Changes of Linguistic Information in the Indo-European Model Language Communit

The paper considers the nonlinear dynamic mathematical model describing the distribution and variation of linguistic information in the Indo-European linguistic community. When constructing a mathematical model of linguistic information propagation and changes in the linguistic community as a priori information data from independent studies both linguistics and other scientific fields, such as history, archeology and genetics were used. Within the framework of this model the spread of linguistic information in a model Indo-European language community, including at the initial stage of its formation was numerically studied. The preliminary results of theoretical analysis and computer simulation are given. It was found that the mathematical model of the distribution and modification of linguistic information shows both regular and typical chaotic behavior. As one of quantitative characteristics of considered nonlinear process of distribution of the linguistic information it is offered to consider number of arising cycles as number of the arisen modern languages, in the given language community. Results of computer modeling show, that from two main hypotheses of formation of the Proto-Indo-Europeans - Anatolian and Kurgan, the latter better matches temporary estimates obtained by us.

mathematical model, nonlinear equation, mathematical linguis- tics, Indo-European languages, Indo-European chronology, Indo-European dispersal, Anatolian and Kurgan hypotheses