NONLINEARITY IN NEWTONIAN MECHANICS

Abstract

In the framework of classical mechanics the nature of the nonlinearity and approaches to solving the nonlinear equations of system dynamics potentially interacting material points are analyzed. Explains why the decoupling of the variables, the link which arises from the interaction of material points, you should use two types of symmetry: the symmetry of the system and the symmetry of the space in which the moving system. In accordance with these types of symmetry appear two types of energy: the energy of motion of the system in an external field and the internal energy of the system.