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Russian Academy of Sciences. Izvestiya Mathematics, 1994, Volume 43, Issue 3, Pages 517–526
DOI: https://doi.org/10.1070/IM1994v043n03ABEH001578 (Mi im830) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Classification of compact invariant sets of dynamical systems

A. F. Filippov
English version PDF (690 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/IM1994v043n03ABEH001578
Abstract: A classification of the compact invariant sets of a dynamical system in a locally compact complete metric space is given with respect to the properties of stability, attraction, isolation, and others.
Received: 14.04.1993
Bibliographic databases:
UDC: 517.938
MSC: Primary 54H20, 34C35, 34D05; Secondary 93D20, 58F08
Language: English
Original paper language: Russian
Citation: A. F. Filippov, “Classification of compact invariant sets of dynamical systems”, Russian Acad. Sci. Izv. Math., 43:3 (1994), 517–526
Citation in format AMSBIB
\Bibitem{Fil93}
\by A.~F.~Filippov
\paper Classification of compact invariant sets of dynamical systems
\jour Russian Acad. Sci. Izv. Math.
\yr 1994
\vol 43
\issue 3
\pages 517--526
\mathnet{http://mi.mathnet.ru/eng/im830}
\crossref{https://doi.org/10.1070/IM1994v043n03ABEH001578}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1256570}
\zmath{https://zbmath.org/?q=an:0853.54037}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1994IzMat..43..517F}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994QK21500007}
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  • https://www.mathnet.ru/eng/im/v57/i6/p130
    • This publication is cited in the following 5 articles:
    1. B. S. Kalitin, “On a Problem of V. V. Nemytskii”, Math. Notes, 113:2 (2023), 200–211  mathnet  crossref  crossref  mathscinet
    2. M. V. Shamolin, “Obobschennaya zadacha kontrolya v zadachakh diagnostiki”, Materialy Voronezhskoi mezhdunarodnoi vesennei matematicheskoi shkoly «Sovremennye metody teorii kraevykh zadach. Pontryaginskie chteniya–XXXII», Voronezh, 3–9 maya 2021 g.  Chast 2, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 209, VINITI RAN, M., 2022, 117–126  mathnet  crossref
    3. M. V. Shamolin, “Struktura diagnosticheskogo prostranstva v zadachakh differentsialnoi diagnostiki”, Geometriya, mekhanika i differentsialnye uravneniya, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 211, VINITI RAN, M., 2022, 75–82  mathnet  crossref
    4. B. S. Kalitine, “Properties of Neighborhoods of Attractors of Dynamical Systems”, Math. Notes, 109:5 (2021), 748–758  mathnet  crossref  crossref  isi  elib
    5. Kalitin B., “On the Structure of a Neighborhood of Stable Compact Invariant Sets”, Differ. Equ., 41:8 (2005), 1115–1125  mathnet  crossref  mathscinet  zmath  isi
    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:375
    Russian version PDF:163
    English version PDF:21
    References:64
    First page:2
     
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