Activities

1. Set γ = 0 and f = 0 and solve the system for different initial conditions to see non-linear periodic oscillations.
2. With the default settings (press Reset to recover them) you can see how the initially small distance between solutions grows in this non-chaotic case
3. Set γ = 0.1 and f = 0.3 and two very close initial conditions: say x₁ = 1.5, x₂ = 0.500001, v₁ = v₂ = 0. You will see the very definition of deterministic chaos: sensitive dependence on initial conditions.
4. By changing f, would you be able to find the onset of chaos for a given γ?
5. The sensitive dependence on initial conditions is also shown in the example Duffing5 of Dynamics Solver.