Dynamical properties of maps derived from maps with strong negative Schwarzian derivative

A strong Schwarzian derivative is defined, and it is shown that the convolution of a function with a map from an interval into itself having negative strong Schwarzian derivative is a function with negative Schwarzian derivative. Such convolutions have 0 as a stable periodic point and at most one ot...

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Main Author:	Abraham Boyarsky
Format:	Article
Language:	English
Published:	Hindawi Limited 1984-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Subjects:	dynamical systems limiting behaviour Schwarzian derivative convolution stable periodic orbit.
Online Access:	http://dx.doi.org/10.1155/S016117128400082X

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spelling	doaj-aec0cd77bbd54c3a892ea36438d1653c2020-11-24T23:37:16ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251984-01-017480380810.1155/S016117128400082XDynamical properties of maps derived from maps with strong negative Schwarzian derivativeAbraham Boyarsky0Department of Mathematics, Loyola Campus, Concordia University, Montréal H4B 1R6, CanadaA strong Schwarzian derivative is defined, and it is shown that the convolution of a function with a map from an interval into itself having negative strong Schwarzian derivative is a function with negative Schwarzian derivative. Such convolutions have 0 as a stable periodic point and at most one other stable periodic orbit in the interior of the domain.http://dx.doi.org/10.1155/S016117128400082Xdynamical systemslimiting behaviourSchwarzian derivativeconvolutionstable periodic orbit.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Abraham Boyarsky
spellingShingle	Abraham Boyarsky Dynamical properties of maps derived from maps with strong negative Schwarzian derivative International Journal of Mathematics and Mathematical Sciences dynamical systems limiting behaviour Schwarzian derivative convolution stable periodic orbit.
author_facet	Abraham Boyarsky
author_sort	Abraham Boyarsky
title	Dynamical properties of maps derived from maps with strong negative Schwarzian derivative
title_short	Dynamical properties of maps derived from maps with strong negative Schwarzian derivative
title_full	Dynamical properties of maps derived from maps with strong negative Schwarzian derivative
title_fullStr	Dynamical properties of maps derived from maps with strong negative Schwarzian derivative
title_full_unstemmed	Dynamical properties of maps derived from maps with strong negative Schwarzian derivative
title_sort	dynamical properties of maps derived from maps with strong negative schwarzian derivative
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	1984-01-01
description	A strong Schwarzian derivative is defined, and it is shown that the convolution of a function with a map from an interval into itself having negative strong Schwarzian derivative is a function with negative Schwarzian derivative. Such convolutions have 0 as a stable periodic point and at most one other stable periodic orbit in the interior of the domain.
topic	dynamical systems limiting behaviour Schwarzian derivative convolution stable periodic orbit.
url	http://dx.doi.org/10.1155/S016117128400082X
work_keys_str_mv	AT abrahamboyarsky dynamicalpropertiesofmapsderivedfrommapswithstrongnegativeschwarzianderivative
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Dynamical properties of maps derived from maps with strong negative Schwarzian derivative

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