Modeling and Dynamic Analysis for a Motion of Mounted-Based Axisymmetric Rigid Body under Self-Excited Vibrations in an Attractive Newtonian Field

Figure 11

Homoclinic bifurcation and transition to chaos at  = 1,  = 1, and  =   = 0. (a) ε = 0.25, λ = −1, μ = 1,  = 0 and γ = 0.25. (b) ε = 0.25, λ = −1, μ = 1,  = 0 and γ = 0.35. (c) ε = 0.25, λ = −1, μ = 1,  = −0 and γ = 0.43. (d) ε = 0.25, λ = −1, μ = 1,  = −0 and γ = 0.5.

(a)

(b)

(c)

(d)