NONLINEARITY IN THE EVOLUTIONARY PROCESS IN THE STRUCTURED MATTER

Abstract

The non-linearity’s which responsible for the evolution of the systems of the classical mechanics are considered. The mathematical justification of the irreversibility of the dy- namics of systems is offered. Relation of the nonlinearities with the concepts of symmetry breaking is analyzing. The features of nonlinearity responsible for the evolution of the systems are consid- ered. The proposed definition of evolutionary nonlinearities responsible for irreversible processes in systems and symmetry breaking is submitted.

Keywords: nonlinear, nonequilibrium dissipative classical mechanics, holonomicity, sym- metry breaking, irreversibility, entropy, hierarchy.