Graphics, Bifurcation, Order and Chaos
dc.contributor.author | Pickover, C.A. | en_US |
dc.date.accessioned | 2014-10-21T05:34:22Z | |
dc.date.available | 2014-10-21T05:34:22Z | |
dc.date.issued | 1987 | en_US |
dc.description.abstract | Chaos 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.number | 1 | en_US |
dc.description.seriesinformation | Computer Graphics Forum | en_US |
dc.description.volume | 6 | en_US |
dc.identifier.doi | 10.1111/j.1467-8659.1987.tb00342.x | en_US |
dc.identifier.issn | 1467-8659 | en_US |
dc.identifier.pages | 26-33 | en_US |
dc.identifier.uri | https://doi.org/10.1111/j.1467-8659.1987.tb00342.x | en_US |
dc.publisher | Blackwell Publishing Ltd and the Eurographics Association | en_US |
dc.title | Graphics, Bifurcation, Order and Chaos | en_US |