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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2011, Issue 1, Pages 20–39 (Mi vuu204)  
MATHEMATICS

A study of iteration of cubic maps with the position of linear conjugacy

V. A. Gustomesov

Russian State Professional Pedagogical University, Ekaterinburg, Russia
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Abstract: The device of a linear conjugacy is applied to research of real cubic maps. The program of studying of map cycles is proposed. This program is connected with construction of multipliers constancy lines on the half-plane of material parameters. We study the cycles of small periods: 1 and 2-cycles, and also – it is less detailed – 3-cycles.
Keywords: cubic mapping, linear conjugacy, line multipliers cycles, the stability region of cycles.
Received: 23.06.2010
Document Type: Article
UDC: 517.962.24
MSC: 37Fxx, 37F10
Language: Russian
Citation: V. A. Gustomesov, “A study of iteration of cubic maps with the position of linear conjugacy”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 1, 20–39
Citation in format AMSBIB
\Bibitem{Gus11}
\by V.~A.~Gustomesov
\paper A study of iteration of cubic maps with the position of linear conjugacy
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2011
\issue 1
\pages 20--39
\mathnet{http://mi.mathnet.ru/vuu204}
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    		Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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