C# - Edward Lorenz Strange Attractor - Chaos

2017-08-26T01:57:37.039Z

I decided to code Edward Lorenz Strange Attractor while my reading of Chaos, Making a New Science, by James Gleick. The code uses the standard constant variables defined by Lorenz on his 3 differencial equations that describe his attractor in a chaotic behavior when rho > 24.7. All the values of X =sigma(Y-X) *dt never repeat themselves through each moment in time making their distribution totaly random, we can see this at the end of the video with the linear graph. The beautiful thing is that even though the values of X are randomly distribuited over time, the result is a beautiful ordered shape, this in essence is the principal of chaotic systems. Or as James Gleick would say " chaotic systems embed hidden ordering principles"

X =sigma(Y-X)
Y= -X*Z+rho*X-Y
Z = X*Y-betta*Z

X = dx/dt -------> change of X over time
Y = dy/dt -------> change of Y over time
Z= dz/dt -------> change of z over time

rho = 28
betta = 3/8
sigma = 10

http://mathworld.wolfram.com/LorenzAttractor.html

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C# - Edward Lorenz Strange Attractor - Chaos