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О топологической классификации регулярных гомеоморфизмов типа Данжуа
Доклады Российской академии наук. Математика, информатика, процессы управления (ранее - Доклады Академии Наук. Математика). 2022. Т. 505. С. 66–70.
Grines V., Mints D.
We consider regular Denjoy type homeomorphisms of the two-dimensional torus which are the most natural generalization of Denjoy homeomorphisms of the circle. In particular, they arise as Poincaré maps induced on global cross sections by leaves of one-dimensional orientable unstable foliations of some partially hyperbolic diffeomorphisms of closed three-dimensional manifolds. The nonwandering set of each regular Denjoy type homeomorphism is a Sierpiński set, and each such homeomorphism is, by definition, semiconjugate to the minimal translation on the two-dimensional torus. For regular Denjoy type homeomorphisms, we introduce a complete invariant of topological conjugacy characterized by the minimal translation, which is semiconjugate to the given regular Denjoy type homeomorphism, with a distinguished at most countable set of orbits.
Keywords: топологическая классификацияtopological classificationDenjoy type homeomorphismSierpiński setгомеоморфизм типа Данжуамножество Серпинского
Publication based on the results of:
Domrin V. I., Malova H. V., V. Yu. Popov et al., Cosmic Research 2026 Vol. 64 No. 2 P. 238–252
During magnetospheric perturbations a relatively thin current sheet with thickness about several
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Tsareva O. O., Malova H. V., V. Yu. Popov et al., Plasma Physics Reports 2026 Vol. 52 No. 2 P. 179–185
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Pochinka O., Yakovlev E., Shmukler V., Russian Journal of Nonlinear Dynamics 2026
Every discrete dynamical system (cascade) generated by a homeomorphism induces a continuous
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Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., Selecta Mathematica, New Series 2026 Vol. 32 Article 25
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Kazaryan M., Lando S., Kodaneva N., Journal of Geometry and Physics 2026 No. 225 Article 105841
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Kychkin A., Chernitsin I., Прикладная информатика 2026 Т. 21 № 1 С. 40–58
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Added: April 21, 2026
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Polynomials of least deviation from zero play an important role in the theory and practice of numerical methods. They can be used to solve problems of optimizing the properties of various computational algorithms. Our work is devoted to the study of polynomials of least deviation from zero on a ray in the exponential norm. In ...
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Zlotnik Alexander, / Series arXiv "math". 2026. No. 2602.03481v1.
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Petrov I., Doklady Mathematics 2026 Vol. Volume 112 P. S103–S110
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A. V. Pereskokov, Theoretical and Mathematical Physics 2026 Vol. 226 No. 3 P. 470–484
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Kolachev N., Адамский А. И., Drozdov D. et al., Моделирование и анализ данных 2026 Т. 16 № 1 С. 157–176
Context and relevance. Despite the widespread adoption of the competency-based approach in higher education, a gap remains between the understanding of competence as a dynamic process and the tools available for its design and management. Dominant practices of learning outcomes assessment rely on static “snapshots,” which limits the possibilities for forecasting and purposeful development of competence. ...
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Zvereva V., Вопросы экономики 2026 № 4 С. 100–129
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Petropavlovsky S., Turkel E., Journal of Computational Physics 2026 Vol. 558 Article 114880
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Romanov I., Шамаев А. С., Математические заметки 2026 Т. 119 № 3 С. 426–432
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Anna S. Bodrova, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2026 Vol. 113 No. 4 Article 045403
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Shvedov A. S., Математические заметки 2026 Т. 119 № 4 С. 616–623
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Galkin V., Pochinka O., Успехи математических наук 2026 Т. 81 № 2(422) С. 71–144
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Gurevich E., Saraev I., Communications in Nonlinear Science and Numerical Simulation 2026 Vol. 152 No. D Article 109301
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