]>Chaotic Behavior of the Biharmonic Dynamics System : Figure 13
319179.fig.013a
(a)
319179.fig.013b
(b)
Figure 13: Evolution of stable and unstable manifolds as a function of the damping force coefficients 𝑎 = 1 for 𝑏 = 1 , 𝜀 = 0 . 0 2 , 𝜔 = 1 , 𝛿 and two different values of 𝛿 1 = 0 . 0 0 9 0 6 close to the critical value 𝛿 = 0 . 0 0 9 0 . (a) 𝛿 = 0 . 0 1 1 3 (b) 𝜃 0 = 0 . 9 4 7 2 , with following initial conditions: ̇ 𝜃 0 = 0 . 2 , 𝜙 0 = 𝜋 , 𝐴 1 for the area .