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Funktsional'nyi Analiz i ego Prilozheniya, 1999, Volume 33, Issue 2, Pages 16–30
DOI: https://doi.org/10.4213/faa351
(Mi faa351)
 

This article is cited in 41 scientific papers (total in 41 papers)

Certain New Robust Properties of Invariant Sets and Attractors of Dynamical Systems

A. S. Gorodetskia, Yu. S. Ilyashenkobac

a Independent University of Moscow
b Steklov Mathematical Institute, Russian Academy of Sciences
c M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
References:
Received: 28.12.1998
English version:
Functional Analysis and Its Applications, 1999, Volume 33, Issue 2, Pages 95–105
DOI: https://doi.org/10.1007/BF02465190
Bibliographic databases:
Document Type: Article
UDC: 517.938
Language: Russian
Citation: A. S. Gorodetski, Yu. S. Ilyashenko, “Certain New Robust Properties of Invariant Sets and Attractors of Dynamical Systems”, Funktsional. Anal. i Prilozhen., 33:2 (1999), 16–30; Funct. Anal. Appl., 33:2 (1999), 95–105
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/faa351
  • https://doi.org/10.4213/faa351
  • https://www.mathnet.ru/eng/faa/v33/i2/p16
  • This publication is cited in the following 41 articles:
    1. PABLO G. BARRIENTOS, JOEL ANGEL CISNEROS, “Minimal strong foliations in skew-products of iterated function systems”, Ergod. Th. Dynam. Sys., 2024, 1  crossref
    2. Gorodetski A. Kleptsyn V., “Parametric Furstenberg Theorem on Random Products of Sl(2, R) Matrices”, Adv. Math., 378 (2021), 107522  crossref  isi
    3. Gonchenko S., Kazakov A., Turaev D., “Wild Pseudohyperbolic Attractor in a Four-Dimensional Lorenz System”, Nonlinearity, 34:4 (2021), 2018–2047  crossref  isi
    4. Diaz L.J., Gelfert K., Santiago B., “Weak and Entropy Approximation of Nonhyperbolic Measures: a Geometrical Approach”, Math. Proc. Camb. Philos. Soc., 169:3 (2020), 507–545  crossref  isi
    5. Diaz L.J., Gelfert K., Rams M., “Entropy Spectrum of Lyapunov Exponents For Nonhyperbolic Step Skew-Products and Elliptic Cocycles”, Commun. Math. Phys., 367:2 (2019), 351–416  crossref  mathscinet  zmath  isi  scopus
    6. Zaj M., Ghane F.H., “Non Hyperbolic Solenoidal Thick Bony Attractors”, Qual. Theor. Dyn. Syst., 18:1 (2019), 35–55  crossref  mathscinet  isi  scopus
    7. Abbasi N., Gharaei M., Homburg A.J., “Iterated Function Systems of Logistic Maps: Synchronization and Intermittency”, Nonlinearity, 31:8 (2018), 3880–3913  crossref  mathscinet  zmath  isi  scopus
    8. Gharaei M., Homburg A.J., “Random interval diffeomorphisms”, Discret. Contin. Dyn. Syst.-Ser. S, 10:2 (2017), 241–272  crossref  mathscinet  zmath  isi  scopus
    9. A. V. Okunev, I. S. Shilin, “On the attractors of step skew products over the Bernoulli shift”, Proc. Steklov Inst. Math., 297 (2017), 235–253  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    10. L. J. Díaz, K. Gelfert, M. Rams, “Topological and ergodic aspects of partially hyperbolic diffeomorphisms and nonhyperbolic step skew products”, Proc. Steklov Inst. Math., 297 (2017), 98–115  mathnet  crossref  crossref  mathscinet  isi  elib
    11. Das S., Yorke J.A., “Multichaos From Quasiperiodicity”, SIAM J. Appl. Dyn. Syst., 16:4 (2017), 2196–2212  crossref  mathscinet  zmath  isi  scopus
    12. Gorodetski A., Pesin Ya., “Path Connectedness and Entropy Density of the Space of Hyperbolic Ergodic Measures”, Modern Theory of Dynamical Systems: a Tribute to Dmitry Victorovich Anosov, Contemporary Mathematics, 692, eds. Katok A., Pesin Y., Hertz F., Amer Mathematical Soc, 2017, 111–121  crossref  mathscinet  zmath  isi
    13. Ilyashenko Yu., Shilin I., “Attractors and Skew Products”, Modern Theory of Dynamical Systems: a Tribute to Dmitry Victorovich Anosov, Contemporary Mathematics, 692, eds. Katok A., Pesin Y., Hertz F., Amer Mathematical Soc, 2017, 155–175  crossref  mathscinet  zmath  isi  scopus
    14. Pablo G Barrientos, Artem Raibekas, “Robust tangencies of large codimension”, Nonlinearity, 30:12 (2017), 4369  crossref
    15. Ilyashenko Yu., Romaskevich O., “Sternberg Linearization Theorem for Skew Products”, J. Dyn. Control Syst., 22:3 (2016), 595–614  crossref  mathscinet  zmath  isi  elib  scopus
    16. Barrientos P.G., Raibekas A., “Dynamics of Iterated Function Systems on the Circle Close To Rotations”, Ergod. Theory Dyn. Syst., 35:5 (2015), 1345–1368  crossref  mathscinet  zmath  isi  scopus
    17. Ali Tahzibi, Andrey Gogolev, “Center Lyapunov exponents in partially hyperbolic dynamics”, JMD, 8:3/4 (2015), 549  crossref
    18. Tatiana Golenishcheva-Kutuzova, Anton Gorodetski, Victor Kleptsyn, Denis Volk, “Translation numbers define generators of F+kHomeo+(S1)”, Mosc. Math. J., 14:2 (2014), 291–308  mathnet  mathscinet
    19. Barrientos P.G., Fakhari A., Sarizadeh A., “Density of Fiberwise Orbits in Minimal Iterated Function Systems on the Circle”, Discret. Contin. Dyn. Syst., 34:9 (2014), 3341–3352  crossref  mathscinet  zmath  isi  elib  scopus
    20. Ghane F.H., Nazari M., Saleh M., Shabani Z., “Robust Density of Periodic Orbits for Skew Products with High Dimensional Fiber”, Abstract Appl. Anal., 2013, 539736  crossref  mathscinet  zmath  isi  scopus
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    Функциональный анализ и его приложения Functional Analysis and Its Applications
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