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- W3196624896 abstract "In this paper, 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." @default.
- W3196624896 created "2021-09-13" @default.
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- W3196624896 date "2022-12-26" @default.
- W3196624896 modified "2023-09-25" @default.
- W3196624896 title "There are No Structural Stable Axiom A 3-Diffeomorphisms with Dynamics “One-dimensional Surfaced Attractor-repeller”" @default.
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- W3196624896 doi "https://doi.org/10.1007/s00025-022-01824-z" @default.
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