Chaos simulation: Duffing attractor movie with source

Posted on Sunday 6 March 2005

Description by Paul Bourke: The solution to the Duffing equations is often used as an example of a classic chaotic system. The Duffing system of differential equations is:

\frac{dx}{dt} = y, \ \frac{dy}{dt} = x - x^3 - a \cdot y + b \cdot \cos(w\cdot t) \

where typically, a = 0.25, b = 0.3 and w = 1.

Simulating it in Flash is amazingly easy. This movie is less than 1 kb! Here’s the source.


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