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On Sharkovsky's cycle coexistence ordering

Published online by Cambridge University Press:  17 April 2009

Peter E. Kloeden
Peter E. Kloeden
Affiliation:
School of Mathematical and Physical Sciences, Murdoch University, Murdoch, Western Australia.
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 20 , Issue 2 , April 1979 , pp. 171 - 177
Copyright
Copyright © Australian Mathematical Society 1979

References

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