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

Authors :: Olga V. Pochinka
E. V. Nozdrinova
Source :: Journal of Mathematical Sciences. 250:94-108
Publication Year :: 2020
Publisher :: Springer Science and Business Media LLC, 2020.
Abstract: 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.

Subjects :: Statistics and Probability
Source sink
Pure mathematics
Class (set theory)
Mathematics::Dynamical Systems
Applied Mathematics
General Mathematics
010102 general mathematics
01 natural sciences
010305 fluids & plasmas
Arc (geometry)
0103 physical sciences
Attractor
Diffeomorphism
0101 mathematics
Mathematics::Symplectic Geometry
Mathematics

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