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JOURNALS // Doklady Akademii Nauk

Dokl. Akad. Nauk, 1995, Volume 342, Number 5, Pages 596–599 (Mi dan4434)

Blue sky catastrophes
D. V. Turaev, L. P. Shilnikov

This publication is cited in the following articles:
  1. S. V. Gonchenko, O. V. Gordeeva, “On Two-Dimensional Diffeomorphisms with Homoclinic Orbits to Nonhyperbolic Fixed Points”, Rus. J. Nonlin. Dyn., 20:1 (2024), 151–165  mathnet  crossref
  2. Zh. T. Zhusubaliev, U. A. Sopuev, D. A. Bushuev, “On forced oscillations in a relay system with hysteresis”, Autom. Remote Control, 85:4 (2024), 377–386  mathnet  crossref  crossref
  3. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Solenoidal attractors of diffeomorphisms of annular sets”, Russian Math. Surveys, 75:2 (2020), 197–252  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
  4. N. V. Isaenkova, E. V. Zhuzhoma, “O sootvetstvii bazisnykh mnozhestv A-endomorfizmov i A-diffeomorfizmov”, Chelyab. fiz.-matem. zhurn., 3:3 (2018), 295–310  mathnet  crossref  elib
  5. E. V. Zhuzhoma, N. V. Isaenkova, V. S. Medvedev, “Mnogomernye solenoidalnye invariantnye mnozhestva sedlovogo tipa”, Zhurnal SVMO, 20:1 (2018), 23–29  mathnet  crossref  elib
  6. E. V. Zhuzhoma, V. S. Medvedev, “Saddle-Type Solenoidal Basis Sets”, Math. Notes, 101:6 (2017), 960–968  mathnet  crossref  crossref  mathscinet  isi  elib
  7. Pavel V. Kuptsov, Sergey P. Kuznetsov, Nataliya V. Stankevich, “A Family of Models with Blue Sky Catastrophes of Different Classes”, Regul. Chaotic Dyn., 22:5 (2017), 551–565  mathnet  crossref
  8. E. V. Zhuzhoma, V. S. Medvedev, “Nedissipativnoe kinematicheskoe dinamo na linzakh”, Zhurnal SVMO, 19:2 (2017), 53–61  mathnet  crossref  elib
  9. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “The annulus principle in the existence problem for a hyperbolic strange attractor”, Sb. Math., 207:4 (2016), 490–518  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
  10. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Katastrofa golubogo neba v sistemakh s neklassicheskimi relaksatsionnymi kolebaniyami”, Model. i analiz inform. sistem, 22:1 (2015), 38–64  mathnet  mathscinet  elib
  11. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Blue sky catastrophe as applied to modeling of cardiac rhythms”, Comput. Math. Math. Phys., 55:7 (2015), 1120–1137  mathnet  crossref  crossref  mathscinet  isi  elib  elib
  12. O. B. Isaeva, S. P. Kuznetsov, I. R. Sataev, A. Pikovskii, “Ob odnom bifurkatsionnom stsenarii rozhdeniya attraktora tipa Smeila–Vilyamsa”, Nelineinaya dinam., 9:2 (2013), 267–294  mathnet
  13. E. V. Zhuzhoma, N. V. Isaenkova, “Zero-dimensional solenoidal base sets”, Sb. Math., 202:3 (2011), 351–372  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
  14. S. P. Kuznetsov, “Dynamical chaos and uniformly hyperbolic attractors: from mathematics to physics”, Phys. Usp., 54:2 (2011), 119–144  mathnet  crossref  crossref  adsnasa  isi  elib
  15. M. Kolomiets, A. Shilnikov, “Metody kachestvennoi teorii dlya modeli Khindmarsh–Rouz”, Nelineinaya dinam., 6:1 (2010), 23–52  mathnet  elib
  16. 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
  17. Andrey Shilnikov, Leonid P. Shilnikov, Dmitry Turaev, “Blue-sky catastrophe in singularly perturbed systems”, Mosc. Math. J., 5:1 (2005), 269–282  mathnet  crossref  mathscinet  zmath


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