The autonomous system of the differential equations with continuous-differentiated right part is considered. The system has the compact invariant set. The weak hyperbolicity concepts are introduced. It has been proven that at small continuous-differentiated distortions of right part the system has the compact invariant set being homeomorphic to the weak-hyperbolic attractor in the small locality of the weak-hyperbolic attractor. The distorted system satisfies on its compact invariant set to the analog of the weak hyperbolicity.Available from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio
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