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Works on an information geometrodynamical approach to chaos

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  • Cafaro, Carlo

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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  • Cafaro, Carlo, 2009. "Works on an information geometrodynamical approach to chaos," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 886-891.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:2:p:886-891
    DOI: 10.1016/j.chaos.2008.04.017
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    Cited by:

    1. Ali, S.A. & Cafaro, C. & Kim, D.-H. & Mancini, S., 2010. "The effect of microscopic correlations on the information geometric complexity of Gaussian statistical models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3117-3127.

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