Birkhoff Normal Forms and KAM Theory for Gumowski-Mira Equation

Figure 1

(a) A Phase portrait of three orbits for 𝑎=0.5. (b) A bifurcation diagram of typical solution of (5) for 𝑎 between −1 and 1. The plots are produced by Dynamica 3 [10].

(a)

(b)