Escape statistics for parameter sweeps through bifurcations.

@article{Miller2012EscapeSF,
  title={Escape statistics for parameter sweeps through bifurcations.},
  author={Nicholas J Miller and Steven W. Shaw},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2012},
  volume={85 4 Pt 2},
  pages={046202}
}
We consider the dynamics of systems undergoing parameter sweeps through bifurcation points in the presence of noise. Of interest here are local codimension-one bifurcations that result in large excursions away from an operating point that is transitioning from stable to unstable during the sweep, since information about these "escape events" can be used for system identification, sensing, and other applications. The analysis is based on stochastic normal forms for the dynamic saddle-node and… CONTINUE READING