Bifurcations of Oscillatory and Rotational Solutions of Double Pendulum with Parametric Vertical Excitation

Figure 6

Basin of attractions in different planes and parameters: (a) plane (𝜃₁,𝜃₂), 𝛾=0.68, 𝛽=0.85, 𝜃̇₁=0.5, and 𝜃̇₂=0.5; (b) plane (𝜃₂,𝜃̇₂), 𝛾=0.68, 𝛽=0.85, 𝜃₁=−𝜋/2, and 𝜃̇₁=2; (c) plane (𝜃₂,𝜃̇₂), 𝛾=0.75, 𝛽=1.5, 𝜃₁=−𝜋/2, and 𝜃̇₁=2.

(a)

(b)

(c)