On 4-dimensional flows with wildly embedded invariant manifolds of a periodic orbit
- Autores: O. Pochinka, M. A. Shubin
- Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 5, Nº. 2, 2020, págs. 261-266
- Idioma: inglés
- DOI: 10.2478/amns.2020.2.00049
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Resumen
In the present paper we construct an example of 4-dimensional flows on S 3 × S 1 whose saddle periodic orbit has a wildly embedded 2-dimensional unstable manifold. We prove that such a property has every suspension under a non-trivial Pixton’s diffeomorphism. Moreover we give a complete topological classification of these suspensions.
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