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Contemporary Mathematics. Fundamental Directions, 2013, Volume 48, Pages 36–50 (Mi cmfd237)  
This article is cited in 4 scientific papers (total in 4 papers)

Absence of $C^1$-$\Omega$-explosion in the space of smooth simplest skew products

L. S. Efremova

Lobachevski Nizhni Novgorod State University, Differential Equations and Mathematical Analysis Department, Nizhni Novgorod, Russia
Full-text PDF (390 kB) Citations (4)
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Abstract: We give a detailed proof of absence of a $C^1$-$\Omega$-explosion in the space of $C^1$-regular simplest skew products of mappings of an interval (i.e., skew products of mappings of an interval with a closed set of periodic points). We study the influence of $C^1$-perturbations (of the class of skew products) to the set of periods of the periodic points of $C^1$-regular simplest skew products, and describe the peculiarities of period doubling bifurcations of the periodic points.
English version:
Journal of Mathematical Sciences, 2014, Volume 202, Issue 6, Pages 794–808
DOI: https://doi.org/10.1007/s10958-014-2077-7
Bibliographic databases:
Document Type: Article
UDC: 517.987.5
Language: Russian
Citation: L. S. Efremova, “Absence of $C^1$-$\Omega$-explosion in the space of smooth simplest skew products”, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 4, CMFD, 48, PFUR, M., 2013, 36–50; Journal of Mathematical Sciences, 202:6 (2014), 794–808
Citation in format AMSBIB
\Bibitem{Efr13}
\by L.~S.~Efremova
\paper Absence of $C^1$-$\Omega$-explosion in the space of smooth simplest skew products
\inbook Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14--21, 2011). Part~4
\serial CMFD
\yr 2013
\vol 48
\pages 36--50
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd237}
\transl
\jour Journal of Mathematical Sciences
\yr 2014
\vol 202
\issue 6
\pages 794--808
\crossref{https://doi.org/10.1007/s10958-014-2077-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84919935393}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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