DoublePendulum
Description
Famous chaotic double pendulum (planar) with two point masses connected by massless rods. The ordering of variables is [θ₁, ω₁, θ₂, ω₂]. Shows sensitive dependence and rich energy-dependent phase space structure. The auxiliary variables φ = θ₂ - θ₁ and Δ = (M1 + M2) - M2 cos² φ appear in the equations.
Parameters
| Name | Value | Unit |
|---|---|---|
| G | 10.0 | |
| L1 | 1.0 | |
| L2 | 1.0 | |
| M1 | 1.0 | |
| M2 | 1.0 |
State variables
| Name | Initial value |
|---|---|
| theta1 | 1.5707963267948966 |
| omega1 | 0.0 |
| theta2 | 0.0 |
| omega2 | 0.5 |