Works on an information geometrodynamical approach to chaos

Details Works on an information geometrodynamical approach to chaos Works on an information geometrodynamical approach to chaos

2008-10-25

arxiv.org/abs/0810.4639v2

Chaos, Solitons and Fractals 41, 886-891 (2009)

Physics

Mathematical Physics

7 pages, in press in "Chaos, Solitons and Fractals"

Scientific paper

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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