This chapter is dedicated to the discussion of a generalized version of the logistic map presented in Chapter 7 , which we shall refer to as the logistic-like map. We will discuss some dynamical properties of the map, including its fixed points and their classifications, the types of bifurcations present, and the convergence behavior toward the fixed point at and near bifurcations. We will show that the exponents characterizing theScaling law scaling law of convergence to the fixed point at the bifurcation—those measured at the transcritical and supercritical pitchfork bifurcations—are not universal and depend on the nonlinearity of the map. On the other hand, the exponents measured at the period-doubling bifurcation are universal and independent of the map’s nonlinearity. We will employ both a phenomenological formalism, based on scaling hypotheses, and an approximation that transforms the map’s difference equation into an ordinary differential equation (ODE), whose solution provides the exponents analytically.