Figure 1
From: Local dynamics of planar maps with a non-isolated fixed point exhibiting 1–1 resonance
Clark–Kulenović system (1) with \(a=0.5\): simulations suggest the existence of an invariant curve (dashed) that passes through \((0,0.5)\), which appears to be a boundary of regions with different dynamical behavior. The point in the center of the plot is \((0,0.5)\) and the solid vertical line consists entirely of fixed points. The curves depict paths followed by orbits under iteration of the map of system (1)