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On construction of axiom A 3-diffeomorphism with one-dimensional surface attractor-repeller dynamics

Динамические системы. 2018. Vol. 8. No. 4. P. 299–305.
Grines V., Pochinka O., Barinova M.

In this paper we construct an omega-stable diffeomorphism $f$ on closed 3-manifold $M$ so that non-wandering set of $f$ consists of exactly one-dimensional attractor and repeller. All known examples were constructed by Ch. Bonatti, N. Guilman, Sh. Yi. We suggest a new model of the construction of such diffeomorphism.

Priority areas: mathematics
Language: English
Full text
Keywords: attractorаттракторrepellerрепеллер
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