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

Figure 5

The rotation curves in two-parameter space (𝛾, 𝛽). Each color of background represents different period order and type of motion (i.e., oscillation, rotations). Initial conditions for numerical integration (𝜃₁=𝜋, 𝜃̇₁=−5, 𝜃₂=𝜋−0.01, and 𝜃̇₂=5). Abbreviations of bifurcations: SN: saddle-node, PD: period doubling, BP: branching point, and SB: symmetry breaking.