Krebs' Free form/Chaos Thread

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Mar 16, 2009
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Duffing oscillator

Duffing_typical_anim.gif

Duffing oscillator is an example of a periodically forced oscillator with a nonlinear elasticity, written as

(1)
\ddot x + \delta \dot x + \beta x + \alpha x^3 = \gamma \cos \omega t ,

where the damping constant obeys \delta\geq 0, and it is also known as a simple model which yields chaos, as well as van der Pol oscillator.