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On Sharkovsky's cycle coexistence ordering
Journal article   Peer reviewed

On Sharkovsky's cycle coexistence ordering

P.E. Kloeden
Bulletin of the Australian Mathematical Society, Vol.20(2), pp.171-177
1979
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Abstract

A theorem of Sharkovsky on the coexistence of cycles for one-dimensional difference equations is generalized to a class of difference equations of arbitary dimension. The mappings defining these difference equations are such that the ith component depends only on the first i independent variables.

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