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Russian Academy of Sciences. Izvestiya Mathematics, 1993, Volume 41, Issue 3, Pages 417–445
DOI: https://doi.org/10.1070/IM1993v041n03ABEH002270 (Mi im902) 		 
This article is cited in 29 scientific papers (total in 29 papers)

On moduli of systems with a structurally unstable homoclinic Poincare curve

S. V. Gonchenko, L. P. Shilnikov
English version PDF (1672 kB) Citations (29) Russian version article
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DOI: https://doi.org/10.1070/IM1993v041n03ABEH002270
Abstract: For higher-dimensional dynamical systems with a structurally unstable homoclinic Poincare curve we find moduli of topological and $\Omega$-equivalence. Using these, in the case of systems with a nontrivial structure we find sufficient conditions for $\Omega$-equivalence on small neighborhoods of homoclinic curves.
Received: 24.05.1990
Revised: 10.01.1992
Bibliographic databases:
UDC: 517.9
MSC: Primary 58F15, 58F14; Secondary 58F10
Language: English
Original paper language: Russian
Citation: S. V. Gonchenko, L. P. Shilnikov, “On moduli of systems with a structurally unstable homoclinic Poincare curve”, Russian Acad. Sci. Izv. Math., 41:3 (1993), 417–445
Citation in format AMSBIB
\Bibitem{GonShi92}
\by S.~V.~Gonchenko, L.~P.~Shilnikov
\paper On~moduli of systems with a structurally unstable homoclinic Poincare curve
\jour Russian Acad. Sci. Izv. Math.
\yr 1993
\vol 41
\issue 3
\pages 417--445
\mathnet{http://mi.mathnet.ru//eng/im902}
\crossref{https://doi.org/10.1070/IM1993v041n03ABEH002270}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1208160}
\zmath{https://zbmath.org/?q=an:0801.58034}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1993IzMat..41..417G}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MV05800002}
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  • https://doi.org/10.1070/IM1993v041n03ABEH002270
  • https://www.mathnet.ru/eng/im/v56/i6/p1165
    • This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:478
    Russian version PDF:118
    English version PDF:9
    References:71
    First page:2
     
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