Efficient time-series detection of the strong stochasticity threshold in Fermi-Pasta-Ulam oscillator lattices.

@article{RomeroBastida2011EfficientTD,
  title={Efficient time-series detection of the strong stochasticity threshold in Fermi-Pasta-Ulam oscillator lattices.},
  author={Mauricio Romero-Bastida and Alan Yoshio Reyes-Mart{\'i}nez},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2011},
  volume={83 1 Pt 2},
  pages={
          016213
        }
}
In this work we study the possibility of detecting the so-called strong stochasticity threshold (i.e., the transition between weak and strong chaos as the energy density of the system is increased) in anharmonic oscillator chains by means of the 0-1 test for chaos. We compare the result of the aforementioned methodology with the scaling behavior of the largest Lyapunov exponent computed by means of tangent space dynamics, which has, so far, been the most reliable method available to detect the… 

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