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Regular version of the site

Article

Class of Stable Connectivity of Source-Sink Diffeomorphism on Two-Dimensional Sphere

Journal of Mathematical Sciences. 2020. No. 250. P. 94-108.

We consider the class of gradient-like diffeomorphisms possessing an attractor and a repeller separated by a circle on a 2-sphere. For any diffeomorphism in this class we construct a stable arc connecting it with the source-sink system.