q-deformed statistical-mechanical property in the dynamics of trajectories en route to the Feigenbaum attractor.

@article{Robledo2008qdeformedSP,
  title={q-deformed statistical-mechanical property in the dynamics of trajectories en route to the Feigenbaum attractor.},
  author={Alberto Robledo and Luis G. Moyano},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2008},
  volume={77 3 Pt 2},
  pages={036213}
}
We demonstrate that the dynamics toward and within the Feigenbaum attractor combine to form a q -deformed statistical-mechanical construction. The rate at which ensemble trajectories converge to the attractor (and to the repellor) is described by a q entropy obtained from a partition function generated by summing distances between neighboring positions of… CONTINUE READING