Sprinkler Bifurcations and Stability

Sprinkler Bifurcations and Stability

After discussing common bifurcations of a one-parameter family of single variable functions, we introduce sprinkler bifurcations, in which any number of new fixed points emanate from a single point. Based on observations of these and other bifurcations, we then prove a number of general results abou...

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Veröffentlicht in:The College mathematics journal 2010-11, Vol.41 (5), p.2
Hauptverfasser: Sorensen, Jody, Rykken, Elyn
Format: Artikel
Sprache:eng
Schlagworte:
Integrals
Mathematical functions
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Zusammenfassung:After discussing common bifurcations of a one-parameter family of single variable functions, we introduce sprinkler bifurcations, in which any number of new fixed points emanate from a single point. Based on observations of these and other bifurcations, we then prove a number of general results about the stabilities of fixed points near a bifurcation point. [PUBLICATION ABSTRACT]
ISSN:0746-8342
1931-1346