On Sharkovsky's cycle coexistence ordering
- 1 January 1979
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 20 (2) , 171-177
- https://doi.org/10.1017/s0004972700010819
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.Keywords
This publication has 5 references indexed in Scilit:
- A theorem of Šarkovskii on the existence of periodic orbits of continuous endomorphisms of the real lineCommunications in Mathematical Physics, 1977
- The dynamics of density dependent population modelsJournal of Mathematical Biology, 1977
- A precise definition of chaosNature, 1976
- Period Three Implies ChaosThe American Mathematical Monthly, 1975
- Period Three Implies ChaosThe American Mathematical Monthly, 1975