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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)
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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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1992, Volume 56, Issue 6, Pages 1165–1197
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”, Izv. RAN. Ser. Mat., 56:6 (1992), 1165–1197; Russian Acad. Sci. Izv. Math., 41:3 (1993), 417–445
Citation in format AMSBIB
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\by S.~V.~Gonchenko, L.~P.~Shilnikov
\paper On~moduli of systems with a structurally unstable homoclinic Poincare curve
\jour Izv. RAN. Ser. Mat.
\yr 1992
\vol 56
\issue 6
\pages 1165--1197
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\zmath{https://zbmath.org/?q=an:0801.58034}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1993IzMat..41..417G}
\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1993
\vol 41
\issue 3
\pages 417--445
\crossref{https://doi.org/10.1070/IM1993v041n03ABEH002270}
\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:460
    Russian version PDF:114
    English version PDF:8
    References:69
    First page:2
     
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