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Sbornik: Mathematics, 2018, Volume 209, Issue 12, Pages 1812–1826
DOI: https://doi.org/10.1070/SM8995 (Mi sm8995) 		 
This article is cited in 7 scientific papers (total in 7 papers)

The existence of a two-dimensional bounded system with continual and coinciding spectra of frequencies and of wandering exponents

E. M. Shishlyannikov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (500 kB) Citations (7) Russian version article
References:
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DOI: https://doi.org/10.1070/SM8995
Abstract: A two-dimensional linear homogeneous differential system with continuous bounded coefficients is constructed so that the frequencies and wandering exponents of each of its nonzero solutions coincide with each other and the set of their values at different solutions (the spectrum) is some interval of the number line.
Bibliography: 12 titles.
Keywords: linear system, characteristic exponents, frequencies, wandering exponents, uniformly distributed sequence.
Received: 21.07.2017 and 14.07.2018
Bibliographic databases:
Document Type: Article
UDC: 517.926
MSC: 34C10, 34D08
Language: English
Original paper language: Russian
Citation: E. M. Shishlyannikov, “The existence of a two-dimensional bounded system with continual and coinciding spectra of frequencies and of wandering exponents”, Sb. Math., 209:12 (2018), 1812–1826
Citation in format AMSBIB
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\paper The existence of a~two-dimensional bounded system with continual and coinciding spectra of frequencies and of wandering exponents
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\yr 2018
\vol 209
\issue 12
\pages 1812--1826
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  • https://doi.org/10.1070/SM8995
  • https://www.mathnet.ru/eng/sm/v209/i12/p149
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
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    Abstract page:413
    Russian version PDF:42
    English version PDF:27
    References:71
    First page:5
     
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