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Regular and Chaotic Dynamics, 1998, Volume 3, Issue 1, Pages 19–27
DOI: https://doi.org/10.1070/RD1998v003n01ABEH000058 (Mi rcd925) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Asymptotic normal forms for equilibria with a triplet of zero characteristic exponents in systems with symmetry

V. Pisarevskii, A. Shilnikov, D. Turaev

Department of Differential Equations, Institute for Applied Mathematics & Cybernetics, 10 Ulyanov Str., Nizhny Novgorod, 603005, Russia
Citations (6)
DOI: https://doi.org/10.1070/RD1998v003n01ABEH000058
Abstract: Asymptotic normal forms for equilibria with a triplet of zero characteristic exponents in systems with $\mathbb{Z}_q$-symmetry are listed.
Received: 05.12.1997
Bibliographic databases:
Document Type: Article
MSC: 58F36
Language: English
Citation: V. Pisarevskii, A. Shilnikov, D. Turaev, “Asymptotic normal forms for equilibria with a triplet of zero characteristic exponents in systems with symmetry”, Regul. Chaotic Dyn., 3:1 (1998), 19–27
Citation in format AMSBIB
\Bibitem{PisShiTur98}
\by V. Pisarevskii, A. Shilnikov, D. Turaev
\paper Asymptotic normal forms for equilibria with a triplet of zero characteristic exponents in systems with symmetry
\jour Regul. Chaotic Dyn.
\yr 1998
\vol 3
\issue 1
\pages 19--27
\mathnet{http://mi.mathnet.ru/rcd925}
\crossref{https://doi.org/10.1070/RD1998v003n01ABEH000058}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1652156}
\zmath{https://zbmath.org/?q=an:1083.37520}
Linking options:
  • https://www.mathnet.ru/eng/rcd925
  • https://www.mathnet.ru/eng/rcd/v3/i1/p19
    • This publication is cited in the following 6 articles:
    1. Li D., Turaev D., “Persistent Heterodimensional Cycles in Periodic Perturbations of Lorenz-Like Attractors”, Nonlinearity, 33:3 (2020), 971–1015  crossref  mathscinet  zmath  isi  scopus
    2. Maciej J Capiński, Dmitry Turaev, Piotr Zgliczyński, “Computer assisted proof of the existence of the Lorenz attractor in the Shimizu–Morioka system”, Nonlinearity, 31:12 (2018), 5410  crossref
    3. I I Ovsyannikov, D V Turaev, “Analytic proof of the existence of the Lorenz attractor in the extended Lorenz model”, Nonlinearity, 30:1 (2017), 115  crossref
    4. S.V. Gonchenko, A.S. Gonchenko, I.I. Ovsyannikov, D.V. Turaev, L. Lerman, D. Turaev, V. Vougalter, M. Zaks, “Examples of Lorenz-like Attractors in Hénon-like Maps”, Math. Model. Nat. Phenom., 8:5 (2013), 48  crossref
    5. C. TONIOLO, G. RUSSO, S. RESIDORI, C. TRESSER, “A PHENOMENOLOGICAL APPROACH TO NORMAL FORM MODELING: A CASE STUDY IN LASER INDUCED NEMATODYNAMICS”, Int. J. Bifurcation Chaos, 15:11 (2005), 3547  crossref
    6. Jan Sieber, Bernd Krauskopf, “Bifurcation analysis of an inverted pendulum with delayed feedback control near a triple-zero eigenvalue singularity”, Nonlinearity, 17:1 (2004), 85  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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