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Russian Mathematical Surveys, 1988, Volume 43, Issue 3, Pages 216–217
DOI: https://doi.org/10.1070/RM1988v043n03ABEH001766
(Mi rm1909)
 

This article is cited in 12 scientific papers (total in 12 papers)

In the Moscow Mathematical Society
Communications of the Moscow Mathematical Society

On estimates of the bifurcation values of the parameters of a Lorentz system

G. A. Leonov
References:
Received: 26.11.1987
Bibliographic databases:
Document Type: Article
MSC: 37Gxx, 37N30
Language: English
Original paper language: Russian
Citation: G. A. Leonov, “On estimates of the bifurcation values of the parameters of a Lorentz system”, Russian Math. Surveys, 43:3 (1988), 216–217
Citation in format AMSBIB
\Bibitem{Leo88}
\by G.~A.~Leonov
\paper On estimates of the bifurcation values of the parameters of a~Lorentz system
\jour Russian Math. Surveys
\yr 1988
\vol 43
\issue 3
\pages 216--217
\mathnet{http://mi.mathnet.ru/eng/rm1909}
\crossref{https://doi.org/10.1070/RM1988v043n03ABEH001766}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=955789}
\zmath{https://zbmath.org/?q=an:0717.34044|0662.34042}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1988RuMaS..43..216L}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988U421100015}
Linking options:
  • https://www.mathnet.ru/eng/rm1909
  • https://doi.org/10.1070/RM1988v043n03ABEH001766
  • https://www.mathnet.ru/eng/rm/v43/i3/p189
  • This publication is cited in the following 12 articles:
    1. Kai Lu, Wenjing Xu, “Coexisting singular cycles in a class of three-dimensional three-zone piecewise affine systems”, DCDS-B, 27:12 (2022), 7315  crossref
    2. Nikolay Kuznetsov, Volker Reitmann, Emergence, Complexity and Computation, 38, Attractor Dimension Estimates for Dynamical Systems: Theory and Computation, 2021, 3  crossref
    3. Kai Lu, Qigui Yang, Guanrong Chen, “Singular cycles and chaos in a new class of 3D three-zone piecewise affine systems”, Chaos: An Interdisciplinary Journal of Nonlinear Science, 29:4 (2019)  crossref
    4. Fuchen Zhang, Kunqiong Li, Guangyun Zhang, Chunlai Mu, “Qualitative analysis of a new Lorenz‐type chaotic system and its simulation”, Math Methods in App Sciences, 40:1 (2017), 31  crossref
    5. Fuchen Zhang, Xiaofeng Liao, Yi-An Chen, Chunlai Mu, Guangyun Zhang, “On the Dynamics of the Chaotic General Lorenz System”, Int. J. Bifurcation Chaos, 27:05 (2017), 1750075  crossref
    6. G. A. Leonov, “Necessary and sufficient conditions of the existence of homoclinic trajectories and cascade of bifurcations in Lorenz-like systems: birth of strange attractor and 9 homoclinic bifurcations”, Nonlinear Dyn, 84:2 (2016), 1055  crossref
    7. G.A. Leonov, N.V. Kuznetsov, “On differences and similarities in the analysis of Lorenz, Chen, and Lu systems”, Applied Mathematics and Computation, 256 (2015), 334  crossref
    8. Fuchen Zhang, Guangyun Zhang, “Further Results on Ultimate Bound on the Trajectories of the Lorenz System”, Qual. Theory Dyn. Syst, 2015  crossref
    9. Fuchen Zhang, Xiaofeng Liao, Guangyun Zhang, “Dynamical behavior of a generalized Lorenz system model and its simulation”, Complexity, 2015, n/a  crossref
    10. Fuchen Zhang, “On a model of the dynamical systems describing convective fluid motion in rotating cavity”, Applied Mathematics and Computation, 268 (2015), 873  crossref
    11. G.A. Leonov, “General existence conditions of homoclinic trajectories in dissipative systems. Lorenz, Shimizu-Morioka, Lu and Chen systems”, Physics Letters A, 2012  crossref
    12. Ale Jan Homburg, Björn Sandstede, Handbook of Dynamical Systems, 3, 2010, 379  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:65
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