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 Dokl. Akad. Nauk SSSR, 1980, Volume 252, Number 4, Pages 801–804 (Mi dan43631)

MATHEMATICS

Williams solenoids and their realization in two-dimensional dynamical systems

A. G. Fedotov

Moscow Institute of Electronic Engineering

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Bibliographic databases:
UDC: 519.2
Presented: À. Í. Êîëìîãîðîâ

Citation: A. G. Fedotov, “Williams solenoids and their realization in two-dimensional dynamical systems”, Dokl. Akad. Nauk SSSR, 252:4 (1980), 801–804

Citation in format AMSBIB
\Bibitem{Fed80} \by A.~G.~Fedotov \paper Williams solenoids and their realization in two-dimensional dynamical systems \jour Dokl. Akad. Nauk SSSR \yr 1980 \vol 252 \issue 4 \pages 801--804 \mathnet{http://mi.mathnet.ru/dan43631} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=0580824} \zmath{https://zbmath.org/?q=an:0489.58019} 

• http://mi.mathnet.ru/eng/dan43631
• http://mi.mathnet.ru/eng/dan/v252/i4/p801

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. R. V. Plykin, “On the geometry of hyperbolic attractors of smooth cascades”, Russian Math. Surveys, 39:6 (1984), 85–131
2. S. Kh. Aranson, V. Z. Grines, “The topological classification of cascades on closed two-dimensional manifolds”, Russian Math. Surveys, 45:1 (1990), 1–35
3. A. Yu. Zhirov, “Hyperbolic attractors of diffeomorphisms of orientable surfaces”, Russian Acad. Sci. Sb. Math., 82:1 (1995), 135–174
4. A. Yu. Zhirov, “Combinatorics of One-Dimensional Hyperbolic Attractors of Diffeomorphisms of Surfaces”, Proc. Steklov Inst. Math., 244 (2004), 132–200
5. A. G. Fedotov, “On the Realization of the Generalized Solenoid as a Hyperbolic Attractor of Sphere Diffeomorphisms”, Math. Notes, 94:5 (2013), 681–691
6. A. G. Fedotov, “On the Solenoidal Representation of the Hyperbolic Attractor of a Diffeomorphism of the Sphere”, Math. Notes, 101:1 (2017), 181–183
7. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Solenoidal attractors of diffeomorphisms of annular sets”, Russian Math. Surveys, 75:2 (2020), 197–252