Variational and phase response analysis for limit cycles with hard boundaries, with applications to neuromechanical control problems

@article{Wang2022VariationalAP,
  title={Variational and phase response analysis for limit cycles with hard boundaries, with applications to neuromechanical control problems},
  author={Yangyang Wang and Jeffrey P. Gill and Hillel J. Chiel and Peter J. Thomas},
  journal={bioRxiv},
  year={2022}
}
Motor systems show an overall robustness, but because they are highly nonlinear, understanding how they achieve robustness is difficult. In many rhythmic systems, robustness against perturbations involves response of both the shape and the timing of the trajectory. This makes the study of robustness even more challenging. To understand how a motor system produces robust behaviors in a variable environment, we consider a neuromechanical model of motor patterns in the feeding apparatus of the… 

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