@article{20324,
  abstract     = {We report relaxation oscillations in a one-dimensional array of Josephson junctions, wherein the array dynamically switches between low-current and high-current states. The oscillations are current-voltage dual to those ordinarily observed in single junctions. The current-voltage dual circuit quantitatively accounts for temporal dynamics of the array, including the dependence on biasing conditions. Injection locking of the oscillations results in well-developed current plateaux. A thermal model explains the self-consistent reduction of the superconducting gap due to overheating of the array in the high-current state. Our work suggests that overheating determines the switching from the high-current state to the low-current state.},
  author       = {Mukhopadhyay, Soham and Lancheros Naranjo, Diego A and Senior, Jorden L and Higginbotham, Andrew P},
  issn         = {2331-7019},
  journal      = {Physical Review Applied},
  publisher    = {American Physical Society},
  title        = {{Dual relaxation oscillations in a Josephson-junction array}},
  doi          = {10.1103/qvls-7s3q},
  volume       = {24},
  year         = {2025},
}

@unpublished{18057,
  abstract     = {We report relaxation oscillations in a one-dimensional array of Josephson
junctions. The oscillations are circuit-dual to those ordinarily observed in
single junctions. The dual circuit quantitatively accounts for temporal
dynamics of the array, including the dependence on biasing conditions.
Injection locking the oscillations results in well-developed current plateaux.
A thermal model explains the relaxation step of the oscillations.},
  author       = {Mukhopadhyay, Soham and Lancheros Naranjo, Diego A and Senior, Jorden L and Higginbotham, Andrew P},
  booktitle    = {arXiv},
  title        = {{Dual relaxation oscillations in a Josephson junction array}},
  doi          = {10.48550/arXiv.2408.07829},
  year         = {2024},
}