Figure 4From: Local dynamics of planar maps with a non-isolated fixed point exhibiting 1–1 resonanceDynamical behavior near a 1–1 resonant fixed point \(( \bar{x}, \bar{y})\), according to Theorem 3; the black dot is \((\bar{x}, \bar{y})\). The thick curves through \((\bar{x}, \bar{y})\) are the invariant curves in Theorems A and B. The sectors appear in blue (hyperbolic), red (parabolic), and green (elliptic)Back to article page