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math.DS2025
Practicalities of State-Dependent and Threshold Delay Differential Equations
A. R. Humphries, A. S. Eremin, Z. Wang
Delays are ubiquitous in applied problems, but often do not arise as the simple constant discrete delays that analysts and numerical analysts like to treat. In this chapter we show…
math.DS2025
Seasonal Forcing Dominated Dynamics of a piecewise smooth Ghil-Zaliapin-Thompson ENSO model
Samuel Bolduc-St-Aubin, Antony R. Humphries
The Ghil-Zaliapin-Thompson (GZT) model, a scalar delay differential equation with periodic forcing and time-delayed feedback, captures key features of the El Nino-Southern Oscillat…