Works on an information geometrodynamical approach to chaos
Carlo Cafaro
TL;DR
This paper introduces an information-geometric framework to analyze chaos in complex systems, providing analogues of quantum chaos criteria and characterizations of energy level statistics.
Contribution
It develops a novel information-geometric approach to characterize chaos and regularity in complex and quantum systems, extending existing chaos criteria.
Findings
An information-geometric analogue of the Zurek-Paz quantum chaos criterion.
Characterization of quantum energy level statistics using information geometry.
Framework applicable to arbitrary complex systems on curved statistical manifolds.
Abstract
In this paper, I propose a theoretical information-geometric framework suitable to characterize chaotic dynamical behavior of arbitrary complex systems on curved statistical manifolds. Specifically, I present an information-geometric analogue of the Zurek-Paz quantum chaos criterion of linear entropy growth and an information-geometric characterization of regular and chaotic quantum energy level statistics.
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