Identifying rare chaotic and regular trajectories in dynamical systems with Lyapunov weighted path sampling

@article{Geiger2010IdentifyingRC,
  title={Identifying rare chaotic and regular trajectories in dynamical systems with Lyapunov weighted path sampling},
  author={Philipp Geiger and Christoph Dellago},
  journal={Chemical Physics},
  year={2010},
  volume={375},
  pages={309-315}
}
Depending on initial conditions, individual finite time trajectories of dynamical systems can have very different chaotic properties. Here we present a numerical method to identify trajectories with atypical chaoticity, pathways that are either more regular or more chaotic than average. The method is based on the definition of an ensemble of trajectories weighted according to their chaoticity, the Lyapunov weighted path ensemble. This ensemble of trajectories is sampled using algorithms… 

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