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Introduction In this paper, we consider the completeness and connectedness of the asymptotic behaviours of the first Painlev´e equation d2y dx2 = 6y2+x, (1.1) in the limit x → ∞, x ∈ C

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Figure 4.1. Near the components of the infinity set
Figure 4.2. The absolute value of the Weierstrass ℘ function
Figure 5.1. The domain V , four half-lines L + t ⊂ V , and their distances to the origin
Figure 5.3. Truncated region in the x-plane, to the left of the curved boundary
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