Statistics of unstable periodic orbits of a chaotic dynamical system with a large number of degrees of freedom.

@article{Kawasaki2005StatisticsOU,
  title={Statistics of unstable periodic orbits of a chaotic dynamical system with a large number of degrees of freedom.},
  author={Mitsuhiro Kawasaki and Shin-ichi Sasa},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2005},
  volume={72 3 Pt 2},
  pages={037202}
}
For a simple model of chaotic dynamical systems with a large number of degrees of freedom, we find that there is an ensemble of unstable periodic orbits (UPOs) with the special property that the expectation values of macroscopic quantities can be calculated using only one UPO sampled from the ensemble. Evidence to support this conclusion is obtained by generating the ensemble by Monte Carlo calculation for a statistical mechanical model described by a space-time Hamiltonian that is expressed in… CONTINUE READING

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