Hypergraphic Functions and Bifurcations in Recurrence Relations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1978 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Applied Mathematics, volume 34, pages 687-691 (issn: 0036-1399, eissn: 1095-712X,

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Authors: Allwright, D. J.;

doi: 10.1137/0134057

Hypergraphic Functions and Bifurcations in Recurrence Relations

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Abstract

In this paper, bifurcations of the recurrence relation $X_{n + 1} = F( {X_n } )$ are studied. For a certain class of functions F, it is proved that when any cycle bifurcates, it produces a nearby one of double the period. The class of functions is defined by a differential inequality which is satisfied by several functions that have been used in models of biological populations.

Keywords

Population dynamics (general)

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