DETERMINISTIC IRREDUCIBILITY IN THE NATURE OF CHAOS AND ORDER
Keywords:
dynamics, evolution, phase space, entropy, irreversibility, formalism mechanics.Abstract
On the basis of a deterministic solution to the problem of irreversibility, the na-
ture of the occurrence of structures and chaos is considered without using any hypotheses about
random fluctuations of external constraints. It is shown that the irreversibility of deterministic
chaos follows from the equations of the dynamics of systems. The description of deterministic principle of the dualism of symmetry in classical mechanics, is two orthogonal phase subspaces.
The first phase space describes the dynamics of the body. This description is presented in macro
variables. The second phase space describes the movement of the structural elements of the body
relative to its center of mass. Such a description is made in micro-variable space. It is shown that
the dual phase space allows us to describe the nature of the body’s tendency not only to the equi-
librium state, but also to the attractor, which is determined by external constraints. The question
of the universality of the processes of breaking space-time symmetries is discussed. This univer-
sality is explained by the common mechanism of the evolutionary nonlinearity for various pro-
cesses of spontaneous symmetry breaking. Such spontaneous symmetry breaking occurs with any
process of the emergence of new systems or attractors.
