## International Conference on $p$-ADIC MATHEMATICAL PHYSICS AND ITS APPLICATIONS $p$-ADICS.2015, 07-12.09.2015, Belgrade, Serbia

Ekaterina Yurova Axelsson

### On the evolution of the genetic codes, represented as attractors of 2-adic functions

Abstract

The genetic code is a map which gives the correspondence between codons in DNA and amino acids. In this talk we will discuss the problem of constructing a $p$-adic model of the genetic code, taking into account its diversity (especially for mitochondrial genetic codes). With an adequate model of the genetic code, one can, for example, objectively evaluate the closeness of living organisms in the evolutionary chain, and clarify the structure of the evolutionary tree analytically.
We will consider a construction, where amino acids are associated to the attractors of some 2-adic function. Furthermore, we will present a model of the relationships between explicit representations of known (nuclear and mitochondrial) genetic codes. Within the model, we show some properties of these genetic codes in analytical form.