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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 353, Pages 93–115 (Mi znsl1634)  
This article is cited in 11 scientific papers (total in 11 papers)

General properties of planar spiral curves

A. I. Kurnosenko

Moscow Engineering Physics Institute (State University)
Full-text PDF (450 kB) Citations (11)
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Abstract: The paper deals with planar curves with monotone curvature (spirals). Some known facts are generalized by removing requirements of curvature's continuity and constant sign. Necessary and sufficient conditions for the existence of a spiral with given end conditions as well as the existence of the bipolar equation of a spiral are discussed. Bibl. – 8 titles.
Received: 10.01.2007
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 161, Issue 3, Pages 405–418
DOI: https://doi.org/10.1007/s10958-009-9566-0
Bibliographic databases:
UDC: 514.752.22
Language: Russian
Citation: A. I. Kurnosenko, “General properties of planar spiral curves”, Geometry and topology. Part 10, Zap. Nauchn. Sem. POMI, 353, POMI, St. Petersburg, 2008, 93–115; J. Math. Sci. (N. Y.), 161:3 (2009), 405–418
Citation in format AMSBIB
\Bibitem{Kur08}
\by A.~I.~Kurnosenko
\paper General properties of planar spiral curves
\inbook Geometry and topology. Part~10
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 353
\pages 93--115
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1634}
\zmath{https://zbmath.org/?q=an:1182.53003}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 161
\issue 3
\pages 405--418
\crossref{https://doi.org/10.1007/s10958-009-9566-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70350643487}
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  • https://www.mathnet.ru/eng/znsl/v353/p93
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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