Resonant Homoclinic Flips Bifurcation in Principal Eigendirections

Figure 3

1-homoclinic orbit (1-H) and (1-OH).

(a) 𝐹(0,𝜇)=0, 𝑦₀=𝑀₄𝜇+h.o.t.≠0

(b) 𝐹(0,𝜇)=0, 𝑦₀=𝑀₄𝜇+h.o.t.=0