3D Strange Attractors with Varying Parameters

This is an animation showing how fairly simple polynomials can exhibit complex fractal behavior. You apply the polynomials to point, plot the step, and repeat, as in X^2, starting with 2 you get 2,4,16,256 ect. This is part of chaos theory and Dynamical System in mathematics. I used chaoscope, www.chaoscope.org/

Category:

Science & Technology

Tags:

• Fractals
• 3D
• Chaos
• Theory
• Mathematics
• complex
• chaoscope
• attractor

[leonelG90]

what is an attractor and are used for!?????? please tell me..

[LaughatNAZIs]

@3niT

I strongly encourage you to read 'The Cosmic Blueprint' by Paul Davies. Very good primer-level intro to the history of the ideas and maths/concepts of 'chaos' (ie, non-linear maths). Might be a bit dated now but still a great intro.

cheers and good reading

[MathDemos]

@3niT This if I remember correctly is a 7 seventh degree polynomial in 3 variables, with me changing the one coeffient at a time, generating chaotic, non uniform convergence. The polynomial only uses the current point to generate the new one, x y and z value.