Continuation of Periodic Solutions of Dissipative and Conservative Systems: Application to Elastic Pendulum
Figure 6
The projection of the trajectory to the - plane for four values of the decreasing parameter . Top left: For slightly below the critical value the period doubling bifurcation gives rise to the new oscillation with twice the period and with a small range. Top right: For decreasing the cup-like shape of the trajectory widens and the top parts start to bend. Bottom left: For still lower values the outer parts of the trajectory bend even more and the period grows. Bottom right: Finally the period is close to which is four times the period of the vertical oscillation. For our periodic oscillation merges with the vertical oscillation.
