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- W2053046602 abstract "Abstract : Let f:R yeild R be continuous, If f has an orbit of period n, the question of which other periods f must necessarily have was answered by A.N. Sarkovskii by giving a total ordering of the natural numbers, now called the Sarkovskii Ordering. The ordering does not take into account the period types and examples show that depending on the type of the period other periods than those implied by the Sarkovskii ordering are present. Introducing the concepts of a periodic loop (a periodic orbit of a certain type) and infinite loop, we give a total ordering of loops and obtain, as a consequence, a refinement of the theorem of Sarkovskii." @default.
- W2053046602 created "2016-06-24" @default.
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- W2053046602 date "1988-04-01" @default.
- W2053046602 modified "2023-09-24" @default.
- W2053046602 title "A Refinement of Sarkovskii's Theorem" @default.
- W2053046602 cites W2013373336 @default.
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- W2053046602 doi "https://doi.org/10.2307/2047342" @default.
- W2053046602 hasPublicationYear "1988" @default.
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