The Landau-Lifshitz equation is the first in an infinite series of approximations to Lorentz-Abraham-Dirac obtained from `reduction order'. We show that this divergent, predicting wildly different dynamics at successive perturbative orders. Iterating reduction order ad infinitum a constant crossed field, we obtain motion which free erratic behaviour perturbation theory. Borel-Pad\'e resummation...

Does it matter in what order the four irrigations are conducted in the caloric test? It has been suggested that warm water (44 degrees C) elicits stronger reactions than does cold water (30 degrees C), which might be explained simply by slight differences in water temperatures. However, if it can be shown that starting with cold water diminishes the difference between the warm and cold irrigati...

Fractional differential equations have become a fundamental modelling approach for understanding and simulating the many aspects of non-locality spatial heterogeneity complex materials systems. Yet, while real-order fractional operators are nowadays widely adopted, little progress has been made in extending such to complex-order counterparts. In this work, we introduce new definitions Laplacian...