On the Realization of the Generalized Solenoid as a Hyperbolic Attractor of Sphere Diffeomorphisms
Matematičeskie zametki, Tome 94 (2013) no. 5, pp. 733-744
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Sufficient conditions for a generalized solenoid to be realized as a hyperbolic attractor of sphere diffeomorphisms are obtained. The main theorem and its corollaries allow one to construct examples of attractors with various properties.
Keywords:
attractor, diffeomorphism, generalized solenoid.
@article{MZM_2013_94_5_a8,
author = {A. G. Fedotov},
title = {On the {Realization} of the {Generalized} {Solenoid} as a {Hyperbolic} {Attractor} of {Sphere} {Diffeomorphisms}},
journal = {Matemati\v{c}eskie zametki},
pages = {733--744},
publisher = {mathdoc},
volume = {94},
number = {5},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2013_94_5_a8/}
}
TY - JOUR AU - A. G. Fedotov TI - On the Realization of the Generalized Solenoid as a Hyperbolic Attractor of Sphere Diffeomorphisms JO - Matematičeskie zametki PY - 2013 SP - 733 EP - 744 VL - 94 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2013_94_5_a8/ LA - ru ID - MZM_2013_94_5_a8 ER -
A. G. Fedotov. On the Realization of the Generalized Solenoid as a Hyperbolic Attractor of Sphere Diffeomorphisms. Matematičeskie zametki, Tome 94 (2013) no. 5, pp. 733-744. http://geodesic.mathdoc.fr/item/MZM_2013_94_5_a8/