Phase reduction theory for hybrid nonlinear oscillators.

@article{Shirasaka2017PhaseRT,
  title={Phase reduction theory for hybrid nonlinear oscillators.},
  author={Sho Shirasaka and Wataru Kurebayashi and Hiroya Nakao},
  journal={Physical review. E},
  year={2017},
  volume={95 1-1},
  pages={
          012212
        }
}
Hybrid dynamical systems characterized by discrete switching of smooth dynamics have been used to model various rhythmic phenomena. However, the phase reduction theory, a fundamental framework for analyzing the synchronization of limit-cycle oscillations in rhythmic systems, has mostly been restricted to smooth dynamical systems. Here we develop a general phase reduction theory for weakly perturbed limit cycles in hybrid dynamical systems that facilitates analysis, control, and optimization of… CONTINUE READING
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