Driven Duffing Oscillator Solver
Tyler Jones
University of Wisconsin-Madison
$$ \ddot{x} + \delta \dot{x} + \alpha x + \beta x^3 = \gamma \cos(\omega t) $$
Parameters
Coefficient of Linear Damping: \( \alpha= \)
Coefficient of Cubic Damping: \( \beta= \)
Amplitude of external driving force: \( \gamma= \)
Angular frequency of external driving force: \( \omega= \)
Coefficient of velocity damping: \( \delta= \)
Initial Conditions
Initial Displacement: \( x_0= \)
Initial Velocity: \( \dot{x_0}=v_0= \)
Solver Input
Time Span (s):
Time Step (s):
Run Solver
Poincaré Section (φ):
0
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