Phase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems.

@article{Shirasaka2017PhaseamplitudeRO,
  title={Phase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems.},
  author={Sho Shirasaka and Wataru Kurebayashi and Hiroya Nakao},
  journal={Chaos},
  year={2017},
  volume={27 2},
  pages={023119}
}
Phase reduction framework for limit-cycling systems based on isochrons has been used as a powerful tool for analyzing the rhythmic phenomena. Recently, the notion of isostables, which complements the isochrons by characterizing amplitudes of the system state, i.e., deviations from the limit-cycle attractor, has been introduced to describe the transient… CONTINUE READING

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