Spherical flow diagram with finite hyperbolic chain-recurrent set

In this paper, authors examine flows with a finite hyperbolic chain-recurrent set without heteroclinic intersections on arbitrary closed n-manifolds. For such flows, the existence of dual attractor and repeller is proved. These points are separated by (n−1)-dimensional sphere, which secant for wandering trajectories in complement to repeller. The study flow dynamics makes it possible obtain topological invariant, called spherical scheme, consisting multi-dimensional spheres that sphere invariant saddle manifolds. It worth known some classes scheme complete invariant. Thus, follows from G. Fleitas results polar (with single sink source) surface, equivalence