Graphics, Bifurcation, Order and Chaos

dc.contributor.authorPickover, C.A.en_US
dc.date.accessioned2014-10-21T05:34:22Z
dc.date.available2014-10-21T05:34:22Z
dc.date.issued1987en_US
dc.description.abstractChaos theory involves the study of how complicated behaviour can arise in systems which are based on simple rules, and how minute changes in the input of a system can lead to large differences in the output. In this paper, bifurcation maps of the education Xt+1=??Xt [1+Xt] -?, where ?= 1 or ?=e-Xi, are presented, and they reveal a visually striking and intricate class of patterns ranging from stable points, to a bifurcating hierarchy of stable cycles, to apparently random fluctuations. The computer-based system presented is special in its primary focus on the fast characterization of simple"chacs equation" data using an interactive graphics system with a variety of controlling parameters.en_US
dc.description.number1en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume6en_US
dc.identifier.doi10.1111/j.1467-8659.1987.tb00342.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages26-33en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.1987.tb00342.xen_US
dc.publisherBlackwell Publishing Ltd and the Eurographics Associationen_US
dc.titleGraphics, Bifurcation, Order and Chaosen_US
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