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JOURNALS // Doklady Akademii Nauk

Dokl. Akad. Nauk SSSR, 1967, Volume 172, Number 1, Pages 54–57 (Mi dan32794)

Existence of a countable set of periodic motions in a four-dimensional space in an extended neighborhood of a saddle-focus
L. P. Shilnikov

This publication is cited in the following articles:
  1. Nikolay E. Kulagin, Lev M. Lerman, Konstantin N. Trifonov, “Twin Heteroclinic Connections of Reversible Systems”, Regul. Chaotic Dyn., 29:1 (2024), 40–64  mathnet  crossref
  2. José Angel Rodríguez, “Emergence of Strange Attractors from Singularities”, Regul. Chaotic Dyn., 28:4-5 (2023), 468–497  mathnet  crossref
  3. Maria Carvalho, Alexandre P. Rodrigues, “Complete Set of Invariants for a Bykov Attractor”, Regul. Chaotic Dyn., 23:3 (2018), 227–247  mathnet  crossref  mathscinet  adsnasa
  4. Yu. V. Bakhanova, A. O. Kazakov, A. G. Korotkov, “Spiralnyi khaos v modelyakh tipa Lotki-Volterry”, Zhurnal SVMO, 19:2 (2017), 13–24  mathnet  crossref  elib
  5. Valentin S. Afraimovich, Sergey V. Gonchenko, Lev M. Lerman, Andrey L. Shilnikov, Dmitry V. Turaev, “Scientific Heritage of L.P. Shilnikov”, Regul. Chaotic Dyn., 19:4 (2014), 435–460  mathnet  crossref  mathscinet  zmath
  6. A. Yu. Loskutov, “Fascination of chaos”, Phys. Usp., 53:12 (2010), 1257–1280  mathnet  crossref  crossref  adsnasa  isi  elib
  7. A. Yu. Loskutov, “Dynamical chaos: systems of classical mechanics”, Phys. Usp., 50:9 (2007), 939–964  mathnet  crossref  crossref  adsnasa  isi  elib
  8. L. P. Shilnikov, “A contribution to the problem of the structure of an extended neighborhood of a rough equilibrium state of saddle-focus type”, Math. USSR-Sb., 10:1 (1970), 91–102  mathnet  crossref  mathscinet  zmath


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