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Dokl. Akad. Nauk, 2008, Volume 418, Number 1, Pages 23–27 (Mi dan468)  

This article is cited in 11 scientific papers (total in 11 papers)

Pseudohyperbolicity and the problem of the periodic perturbation of Lorenz-type attractors

D.V. Turaev, L.P. Shil'nikov



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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. Yu. Kolesov, N. Kh. Rozov, “On the definition of ‘chaos’”, Russian Math. Surveys, 64:4 (2009), 701–744  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    2. S. V. Gonchenko, I. I. Ovsyannikov, “O bifurkatsiyakh trekhmernykh diffeomorfizmov s negrubym geteroklinicheskim konturom, soderzhaschim sedlo-fokusy”, Nelineinaya dinam., 6:1 (2010), 61–77  mathnet  elib
    3. E. A. Sataev, “Stokhasticheskie svoistva singulyarno giperbolicheskikh attraktorov”, Nelineinaya dinam., 6:1 (2010), 187–206  mathnet  elib
    4. A. S. Gonchenko, S. V. Gonchenko, L. P. Shilnikov, “K voprosu o stsenariyakh vozniknoveniya khaosa u trekhmernykh otobrazhenii”, Nelineinaya dinam., 8:1 (2012), 3–28  mathnet
    5. A. S. Gonchenko, S. V. Gonchenko, “O suschestvovanii attraktorov lorentsevskogo tipa v negolonomnoi modeli «keltskogo kamnya»”, Nelineinaya dinam., 9:1 (2013), 77–89  mathnet
    6. Alexander S. Gonchenko, Sergey V. Gonchenko, Alexey O. Kazakov, “Richness of Chaotic Dynamics in Nonholonomic Models of a Celtic Stone”, Regul. Chaotic Dyn., 18:5 (2013), 521–538  mathnet  crossref  mathscinet  zmath
    7. Sergey V. Gonchenko, Ivan I. Ovsyannikov, Joan C. Tatjer, “Birth of Discrete Lorenz Attractors at the Bifurcations of 3D Maps with Homoclinic Tangencies to Saddle Points”, Regul. Chaotic Dyn., 19:4 (2014), 495–505  mathnet  crossref  mathscinet  zmath
    8. A. D. Kozlov, “Primery strannykh attraktorov v trekhmernykh neorientiruemykh otobrazheniyakh”, Zhurnal SVMO, 19:2 (2017), 62–75  mathnet  crossref  elib
    9. Pavel V. Kuptsov, Sergey P. Kuznetsov, “Lyapunov Analysis of Strange Pseudohyperbolic Attractors: Angles Between Tangent Subspaces, Local Volume Expansion and Contraction”, Regul. Chaotic Dyn., 23:7-8 (2018), 908–932  mathnet  crossref
    10. A. O. Kazakov, A. D. Kozlov, “Nesimmetrichnyi attraktor Lorentsa kak primer novogo psevdogiperbolicheskogo attraktora v trekhmernykh sistemakh”, Zhurnal SVMO, 20:2 (2018), 187–198  mathnet  crossref
    11. S. V. Gonchenko, A. S. Gonchenko, A. O. Kazakov, “Three Types of Attractors and Mixed Dynamics of Nonholonomic Models of Rigid Body Motion”, Proc. Steklov Inst. Math., 308 (2020), 125–140  mathnet  crossref  crossref  isi  elib
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