Nonextensive Pesin identity: exact renormalization group analytical results for the dynamics at the edge of chaos of the logistic map.

@article{Baldovin2004NonextensivePI,
  title={Nonextensive Pesin identity: exact renormalization group analytical results for the dynamics at the edge of chaos of the logistic map.},
  author={F. Baldovin and A. Robledo},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2004},
  volume={69 4 Pt 2},
  pages={
          045202
        }
}
  • F. Baldovin, A. Robledo
  • Published 2004
  • Medicine, Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
We show that the dynamical and entropic properties at the chaos threshold of the logistic map are naturally linked through the nonextensive expressions for the sensitivity to initial conditions and for the entropy. We corroborate analytically, with the use of the Feigenbaum renormalization group transformation, the equality between the generalized Lyapunov coefficient lambda(q) and the rate of entropy production, K(q), given by the nonextensive statistical mechanics. Our results advocate the… Expand

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References

SHOWING 1-10 OF 13 REFERENCES
...
1
2
...