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Lorenz Attractor and Sensitivity to Initial Conditions

POpopswilson•Created January 11, 2015
Lorenz Attractor and Sensitivity to Initial Conditions
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Instructions

Click on the green flag. I recommend you do not run in Turbo as you will miss the development of the gradual separation of the two points. Run the simulation through at least 3,000 iterations to get a feel for the difference in the two histories.

Description

See my original Lorenz Attractor project at http://scratch.mit.edu/projects/3068465/ for a detailed description of how the Lorenz Attractor is a mathematical model of a simple convection cell, like a Lava Lamp. The flow of heat through the atmosphere creates small and large 'convection cells' that power our weather. The starting position for the red sprite is x, y, z = 0.10 The starting position for the white sprite is x, y, z = 0.09 Each set of (x, y, z) coordinates represent the state of the convection cell. The two states start close together but the slight difference leads to two totally different paths (histories) of how the story of the red convection cell differs from the story of the white convection cell. I have posted on my blog information about the Lorenz Attractor that can be viewed at: http://www.scratch-blog.com/2013/01/the-lorenz-attractor.html

Project Details

Project ID42648660
CreatedJanuary 11, 2015
Last ModifiedJune 17, 2022
SharedJanuary 11, 2015
Visibilityvisible
CommentsAllowed