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 |
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| container_issue | 5 |
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| container_title | The College mathematics journal |
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| creator | Sorensen, Jody Rykken, Elyn |
| description | 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] |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0746-8342 |
| ispartof | The College mathematics journal, 2010-11, Vol.41 (5), p.2 |
| issn | 0746-8342 1931-1346 |
| language | eng |
| recordid | cdi_proquest_journals_810961822 |
| source | JSTOR Mathematics & Statistics Collection; JSTOR |
| subjects | Integrals Mathematical functions |
| title | Sprinkler Bifurcations and Stability |
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