Cobweb plot: Difference between revisions

Revision as of 04:40, 5 April 2010

Revision as of 00:27, 6 June 2010

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{{noref|date=March 2010}}

[[Image:CobwebConstruction.gif|thumb|300px500px|right|Construction of a cobweb plot of the logistic map, showing an attracting fixed point.]]

[[Image:LogisticCobwebChaos.gif|thumb|300px500px|right|An animated cobweb diagram of the [[logistic map]], showing [[chaos theory|chaotic]] behaviour for most values of r > 3.57.]]

A '''cobweb plot''', or '''Verhulst diagram''' is a visual tool used in the [[dynamical system]]s field of [[mathematics]] to investigate the qualitative behaviour of one dimensional [[iterated function]]s, such as the [[logistic map]]. Using a cobweb plot, it is possible to infer the long term status of an [[initial condition]] under repeated application of a map.