Cobweb plot: Difference between revisions

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[[Image:CobwebConstruction.gif|thumb|500px|right|Construction of a cobweb plot of the logistic map y = 2.8 x (1-x), showing an attracting fixed point.]]
[[Image:LogisticCobwebChaos.gif|thumb|500px|right|An animated cobweb diagram of the [[logistic map]] y = r x (1-x), 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.<ref>{{cite book |last1=Stoop |first1= Ruedi |last2=Steeb |first2= Willi-Hans |date=2006 |title=Berechenbares Chaos in dynamischen Systemen |trans_title= Computable Chaos in dynamic systems |url=http://link.springer.com/book/10.1007%2F3-7643-7551-5 |language=german |publisher=Birkhäuser Basel| page=8 |isbn=978-3-7643-7551-5 }}</ref>