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A novel information-geometric approach to chaotic dynamics on curvedstatistical manifolds based on Entropic Dynamics (ED) is suggested.Furthermore, an information-geometric analogue of the Zurek-Paz quantum chaoscriterion is proposed. It is shown that the hyperbolicity of a non-maximallysymmetric 6N-dimensional statistical manifold M_{s} underlying an ED Gaussianmodel describing an arbitrary system of 3N non-interacting degrees of freedomleads to linear information-geometric entropy growth and to exponentialdivergence of the Jacobi vector field intensity, quantum and classical featuresof chaos respectively.

Information Geometry and Chaos on Negatively Curved Statistical Manifolds