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math.DS2022★ 2 cited
Complex oscillatory dynamics in a three-timescale El Niño Southern Oscillation model
Panagiotis Kaklamanos, Nikola Popović
We study the three-timescale dynamics of a model that describes the El Niño Southern Oscillation (ENSO) phenomenon, which was proposed in [A. Roberts, J. Guckenheimer, E. Widiasih,…
math.DS2022
Geometric singular perturbation analysis of the multiple-timescale Hodgkin-Huxley equations
Panagiotis Kaklamanos, Nikola Popović, Kristian Uldall Kristiansen
We present a novel and global three-dimensional reduction of a non-dimensionalised version of the four-dimensional Hodgkin-Huxley equations [J. Rubin and M. Wechselberger, Giant sq…