TOM HOLROYD – In school physics classrooms the world over, students are taught to use equations such as dx/dt = f(x, p) + H.O.T. to model nature mathematically. In such equations,  f(x, p) is some linear function, and H.O.T. stands for Higher Order Terms, or in other words, stand for nonlinear terms of the mathematical model.  Quite often when applied to real world scenarios, analysis of this kind of equation focuses...