@incollection{kuramoto1975self,
  title={Self-entrainment of a population of coupled non-linear oscillators},
  author={Kuramoto, Yoshiki},
  booktitle={International Symposium on Mathematical Problems in Theoretical Physics},
  series={Lecture Notes in Physics},
  volume={39},
  pages={420--422},
  year={1975},
  publisher={Springer}
}

@article{kurebayashi2013strongperturb,
  title={Phase Reduction Method for Strongly Perturbed Limit Cycle Oscillators},
  author={Kurebayashi, Wataru and Shirasaka, Sho and Nakao, Hiroya},
  journal={Physical Review Letters},
  volume={111},
  pages={214101},
  year={2013},
  doi={10.1103/PhysRevLett.111.214101}
}

@article{teramae2009stochastic,
  title={Stochastic Phase Reduction for a General Class of Noisy Limit Cycle Oscillators},
  author={Teramae, Jun-nosuke and Nakao, Hiroya and Ermentrout, G. Bard},
  journal={Physical Review Letters},
  volume={102},
  pages={194102},
  year={2009},
  doi={10.1103/PhysRevLett.102.194102}
}

@article{wilson2016isostable,
  title={Isostable reduction of periodic orbits},
  author={Wilson, Dan and Moehlis, Jeff},
  journal={Physical Review E},
  volume={94},
  pages={052213},
  year={2016},
  doi={10.1103/PhysRevE.94.052213}
}

@article{shirasaka2017hybrid,
  title={Phase reduction theory for hybrid nonlinear oscillators},
  author={Shirasaka, Sho and Kurebayashi, Wataru and Nakao, Hiroya},
  journal={Physical Review E},
  volume={95},
  pages={012212},
  year={2017},
  doi={10.1103/PhysRevE.95.012212}
}

@article{leon2019higherorder,
  title={Phase reduction beyond the first order: The case of the mean-field complex Ginzburg-Landau equation},
  author={León, Iván and Pazó, Diego},
  journal={Physical Review E},
  volume={100},
  pages={012211},
  year={2019},
  doi={10.1103/PhysRevE.100.012211}
}

@article{leon2020qpr,
  title={Quasi phase reduction of all-to-all strongly coupled lambda-omega oscillators near incoherent states},
  author={León, Iván and Pazó, Diego},
  journal={Physical Review E},
  volume={102},
  pages={042203},
  year={2020},
  doi={10.1103/PhysRevE.102.042203}
}

@article{wilson2022adaptive,
  title={An Adaptive Phase-Amplitude Reduction Framework without O(epsilon) Constraints on Inputs},
  author={Wilson, Dan},
  journal={SIAM Journal on Applied Dynamical Systems},
  volume={21},
  number={1},
  pages={204--230},
  year={2022},
  doi={10.1137/21M1391791}
}

@article{kurebayashi2022strongcoupling,
  title={Phase reduction of strongly coupled limit-cycle oscillators},
  author={Kurebayashi, Wataru and Yamamoto, Takuto and Shirasaka, Sho and Nakao, Hiroya},
  journal={Physical Review Research},
  volume={4},
  pages={043176},
  year={2022},
  doi={10.1103/PhysRevResearch.4.043176}
}

@article{wilsonsun2024reduced,
  title={Reduced Order Characterization of Nonlinear Oscillations Using an Adaptive Phase-Amplitude Coordinate Framework},
  author={Wilson, Dan and Sun, Kai},
  journal={SIAM Journal on Applied Dynamical Systems},
  volume={23},
  number={1},
  pages={470--504},
  year={2024},
  doi={10.1137/23M1551699}
}

@article{setoyama2024quantum,
  title={Lie Algebraic Quantum Phase Reduction},
  author={Setoyama, Wataru and Hasegawa, Yoshihiko},
  journal={Physical Review Letters},
  volume={132},
  pages={093602},
  year={2024},
  doi={10.1103/PhysRevLett.132.093602}
}
