  We study the information geometry and the entropic dynamics of a 3D Gaussian
statistical model. We then compare our analysis to that of a 2D Gaussian
statistical model obtained from the higher-dimensional model via introduction
of an additional information constraint that resembles the quantum mechanical
canonical minimum uncertainty relation. We show that the chaoticity (temporal
complexity) of the 2D Gaussian statistical model, quantified by means of the
Information Geometric Entropy (IGE) and the Jacobi vector field intensity, is
softened with respect to the chaoticity of the 3D Gaussian statistical model.
