ИСТИНА

Mathematical theory of chaos based on a rigorous mathematical approach deals with strange attractors of hyperbolic type. In such attractor all belonging orbits in phase space are of saddle type, and the invariant sets of trajectories approaching the original one in forward or backward time (stable and unstable manifolds) intersect transversally, i.e. without touch. The object forming in a limit of infinite iterations is called the Smale - Williams solenoid. The transversal structure of it is a Cantor-like set.