Works on an information geometrodynamical approach to chaos

Chaos, Solitons and Fractals

Volumn 41, Issue 2, 2009, Pages 886-891

  Cafaro, Carlo ^a  

^a STATE UNIVERSITY OF NEW YORK   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GEOMETRY; QUANTUM THEORY;

DYNAMICAL BEHAVIORS; GEOMETRIC CHARACTERIZATION; GEOMETRIC FRAMEWORK; LINEAR ENTROPY; QUANTUM CHAOS; QUANTUM ENERGY LEVELS; STATISTICAL MANIFOLDS;

CHAOS THEORY;

EID: 67349277118     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2008.04.017     Document Type: Article

References (16)

1. Gell-Mann M. What is complexity?. Complexity 1 1 (1995)
2. Caticha A. Entropic dynamics. In: Fry R.L. (Ed). Bayesian inference and maximum entropy methods in science and engineering. AIP Conf Proc 617 (2002) 302
3. Caticha A., and Preuss R. Maximum entropy and Bayesian data analysis: entropic prior distributions. Phys Rev E 70 (2004) 046127
4. Amari S., and Nagaoka H. Methods of information geometry (2000), American Mathematical Society, Oxford University Press
5. Caticha A. Insufficient reason and entropy in quantum theory. Found Phys 30 (2000) 227
6. Cafaro C., Ali S.A., and Giffin A. An application of reversible entropic dynamics on curved statistical manifolds. In: Ali M.-D. (Ed). Bayesian inference and maximum entropy methods in science and engineering. AIP Conf Proc 872 (2006) 243-251
7. Cafaro C., and Ali S.A. Jacobi fields on statistical manifolds of negative curvature. Physica D 234 (2007) 70-80
8. Cafaro C. Information geometry and chaos on negatively curved statistical manifolds. In: Knuth K., et al. (Ed). Bayesian inference and maximum entropy methods in science and engineering. AIP Conf Proc 954 (2007) 175
9. Caticha A., and Cafaro C. From information geometry to Newtonian dynamics. In: Knuth K., et al. (Ed). Bayesian Inference and Maximum Entropy Methods in Science and Engineering. AIP Conf Proc 954 (2007) 165
10. Zurek W.H., and Paz J.P. Decoherence, chaos, and the second law. Phys Rev Lett 72 (1994) 2508
11. Zurek W.H., and Paz J.P. Quantum chaos: a decoherent definition. Physica D 83 (1995) 300
12. Caves C.M., and Schack R. Unpredictability, information, and chaos. Complexity 3 (1997) 46-57
13. Scott A.J., Brun T.A., Caves C.M., and Schack R. Hypersensitivity and chaos signatures in the quantum baker's map. J Phys A 39 (2006) 13405
14. Zurek W.H. Preferred states, predictability, classicality and environment-induced decoherence. Prog Theor Phys 89 (1993) 281
15. Prosen T., and Znidaric M. Is the efficiency of classical simulations of quantum dynamics related to integrability?. Phys Rev E 75 (2007) 015202
16. Prosen T., and Pizorn I. Operator space entanglement entropy in transverse Ising chain. Phys Rev A 76 (2007) 032316