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

Abraham Boyarsky

International Journal of Mathematics and Mathematical Sciences, 1984, vol. 7, 1-6

Abstract:

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.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:768080

DOI: 10.1155/S016117128400082X

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