Dual relaxation oscillations in a Josephson-junction array Mukhopadhyay, Soham ; https://orcid.org/0000-0001-5263-5559 Lancheros Naranjo, Diego A Senior, Jorden L ; https://orcid.org/0000-0002-0672-9295 Higginbotham, Andrew P ; https://orcid.org/0000-0003-2607-2363 ddc:530 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. American Physical Society 2025 info:eu-repo/semantics/article doc-type:article article http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/20324 https://research-explorer.ista.ac.at/download/20324/20335 Mukhopadhyay S, Lancheros Naranjo DA, Senior JL, Higginbotham AP. Dual relaxation oscillations in a Josephson-junction array. <i>Physical Review Applied</i>. 2025;24. doi:<a href="https://doi.org/10.1103/qvls-7s3q">10.1103/qvls-7s3q</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1103/qvls-7s3q info:eu-repo/semantics/altIdentifier/issn/2331-7019 info:eu-repo/semantics/altIdentifier/wos/001537333100001 info:eu-repo/semantics/altIdentifier/arxiv/2408.07829 https://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess