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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 1, Pages 132–145 (Mi smj1944)  
This article is cited in 2 scientific papers (total in 2 papers)

Cyclic invariant sets for one class of maps

I. N. Pankratova

Institute of Mathematics, Ministry of Education and Science, Republic of Kazakhstan
Full-text PDF (320 kB) Citations (2)
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Abstract: We consider the dynamical system that is determined by a multidimensional map with scalar type nonlinearity and a nonnegative matrix of special form. For this map we establish the bifurcation character for the location of cyclic invariant sets in the phase space of the system, determine their location and periods depending on the properties of the matrix.
Keywords: map, linear operator, dynamical system, invariant set.
Received: 30.07.2007
Revised: 18.03.2008
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 1, Pages 107–116
DOI: https://doi.org/10.1007/s11202-009-0013-8
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: I. N. Pankratova, “Cyclic invariant sets for one class of maps”, Sibirsk. Mat. Zh., 50:1 (2009), 132–145; Siberian Math. J., 50:1 (2009), 107–116
Citation in format AMSBIB
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\by I.~N.~Pankratova
\paper Cyclic invariant sets for one class of maps
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\issue 1
\pages 132--145
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\jour Siberian Math. J.
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\pages 107--116
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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