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
\Bibitem{GorIly99}
\by A.~S.~Gorodetski, Yu.~S.~Ilyashenko
\paper Certain New Robust Properties of Invariant Sets and Attractors of Dynamical Systems
\jour Funktsional. Anal. i Prilozhen.
\yr 1999
\vol 33
\issue 2
\pages 16--30
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\crossref{https://doi.org/10.4213/faa351}
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\zmath{https://zbmath.org/?q=an:0939.37015}
\transl
\jour Funct. Anal. Appl.
\yr 1999
\vol 33
\issue 2
\pages 95--105
\crossref{https://doi.org/10.1007/BF02465190}
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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:
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Gonchenko S., Kazakov A., Turaev D., “Wild Pseudohyperbolic Attractor in a Four-Dimensional Lorenz System”, Nonlinearity, 34:4 (2021), 2018–2047
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
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
Abbasi N., Gharaei M., Homburg A.J., “Iterated Function Systems of Logistic Maps: Synchronization and Intermittency”, Nonlinearity, 31:8 (2018), 3880–3913
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
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
Das S., Yorke J.A., “Multichaos From Quasiperiodicity”, SIAM J. Appl. Dyn. Syst., 16:4 (2017), 2196–2212
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
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
Pablo G Barrientos, Artem Raibekas, “Robust tangencies of large codimension”, Nonlinearity, 30:12 (2017), 4369
Ilyashenko Yu., Romaskevich O., “Sternberg Linearization Theorem for Skew Products”, J. Dyn. Control Syst., 22:3 (2016), 595–614
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
Ali Tahzibi, Andrey Gogolev, “Center Lyapunov exponents in partially hyperbolic dynamics”, JMD, 8:3/4 (2015), 549
Tatiana Golenishcheva-Kutuzova, Anton Gorodetski, Victor Kleptsyn, Denis Volk, “Translation numbers define generators of F+k→Homeo+(S1)”, Mosc. Math. J., 14:2 (2014), 291–308
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
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