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ВИДЕОТЕКА |
Конференция «Hyperbolic Dynamics and Structural Stability», посвященная 85-летию Д. В. Аносова
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3-Diffeomorphisms with dynamics “one-dimensional surfaced attractor-repeller” O. V. Pochinka National Research University "Higher School of Economics", Nizhny Novgorod Branch |
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Аннотация: We study the structural stability of three-dimensional diffeomorphisms with source-sink dynamics. Here the role of source and sink is played by one-dimensional hyperbolic repeller and attractor. It is well known that in the case when the repeller and the attractor are solenoids (not embedded in the surface), the diffeomorphism is not structurally stable. The author proves that in the case when the attractor and the repeller are canonically embedded in a surface, the diffeomorphism is also not structurally stable. Язык доклада: английский |