A contribution to the problem of the structure of an extended neighborhood of a rough equilibrium state of saddle-focus type

It is shown that in a neighborhood of a trajectory which is doubly asymptotic to a rough state of equilibrium of saddle-focus type, under addition assumptions on the dynamical system, there exists a subsystem whose trajectories are in one-to-one correspondence with a set which is the quotient space of a topological Bernoulli process with an infinite set of symbols.
Bibliography: 10 titles.