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Sbornik: Mathematics, 1998, Volume 189, Issue 4, Pages 603–622
DOI: https://doi.org/10.1070/sm1998v189n04ABEH000315 (Mi sm315) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Homoclinic $\Omega$-explosion and domains of hyperbolicity

O. V. Sten'kin, L. P. Shilnikov

Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod
English version PDF (291 kB) Citations (7) Russian version article
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DOI: https://doi.org/10.1070/sm1998v189n04ABEH000315
Abstract: The existence of domains of hyperbolicity is proved for general one-parameter families of multidimensional systems that undergo a homoclinic $\Omega$-explosion and the structure of the hyperbolic sets is studied for such families.
Received: 25.06.1997
Bibliographic databases:
UDC: 517.9
MSC: Primary 58F15; Secondary 58F10, 58F14
Language: English
Original paper language: Russian
Citation: O. V. Sten'kin, L. P. Shilnikov, “Homoclinic $\Omega$-explosion and domains of hyperbolicity”, Sb. Math., 189:4 (1998), 603–622
Citation in format AMSBIB
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\by O.~V.~Sten'kin, L.~P.~Shilnikov
\paper Homoclinic $\Omega$-explosion and domains of hyperbolicity
\jour Sb. Math.
\yr 1998
\vol 189
\issue 4
\pages 603--622
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  • https://www.mathnet.ru/eng/sm/v189/i4/p125
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:208
    English version PDF:18
    References:75
    First page:1
     
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