On spectral decomposition of Smale-Vietoris axiom A diffeomorphisms
Dynamical Systems
2016-02-22 v4
Abstract
We introduce Smale-Vietoris diffeomorphisms that include the classical DE-mappings with Smale solenoids. We describe the correspondence between basic sets of axiom A Smale-Vietoris diffeomorphisms and basic sets of nonsingular axiom A endomorphisms. For Smale-Vietoris diffeomorphisms of 3-manifolds, we prove the uniqueness of nontrivial solenoidal basic set. We construct a bifurcation between different types of solenoidal basic sets which can be considered as a destruction (or birth) of Smale solenoid.
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Cite
@article{arxiv.1405.5064,
title = {On spectral decomposition of Smale-Vietoris axiom A diffeomorphisms},
author = {N. Isaenkova and E. Zhuzhoma},
journal= {arXiv preprint arXiv:1405.5064},
year = {2016}
}
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