order in chaos the bifurcation diagram
{"Image DocumentName": "Order in Chaos: The Bifurcation Diagram", "Image ImageDescription": "The bifurcation diagram demonstrates a universal property of large sets of chaotic systems i.e \u2018\u2019period-doubling\u2019\u2019 to chaos. By iterating the logistic map for a given value of r , a fixed point is first recorded followed by a period-two oscillation, then period four, eight, etc. These abrupt transitions are bifurcations. Cumulative bifurcations result in chaos. Feigenbaum discovered that the rate at which bifurcations got closer (i.e r value-convergence) was known a Feigenbaum\u2019s constant. Source: en.wikipedia.org. Centre for Public Policy Alternatives (CPPA), Lagos. 29.", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}