On the Dynamical Coherence of Structurally Stable 3-diffeomorphisms

2014, Volume 19, Number 4, pp. 506-512

Author(s): Grines V. Z., Levchenko Y. A., Medvedev V. S., Pochinka O. V.

We prove that each structurally stable diffeomorphism $f$ on a closed 3-manifold $M^3$ with a two-dimensional surface nonwandering set is topologically conjugated to some model dynamically coherent diffeomorphism.

Keywords: structural stability, surface basic set, partial hyperbolicity, dynamical coherence

Citation: Grines V. Z., Levchenko Y. A., Medvedev V. S., Pochinka O. V., On the Dynamical Coherence of Structurally Stable 3-diffeomorphisms, Regular and Chaotic Dynamics, 2014, Volume 19, Number 4, pp. 506-512

DOI: 10.1134/S1560354714040066

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