Ruth Fowler (1930–2013)

4 June 2001 − Ruth

STYLES OF RATIONALITY Ruth

By whatever general principles and mechanisms animal behavior is governed, human behavior control rides piggyback on top of the same or very similar mechanisms. We have reflexes. We can be conditioned. The movements that make up our smaller actions are mostly caught up in perception-action cycles following perceived Gibsonian affordances. Still, without doubt there are levels of behavior contro...

R. S. Fowler

The Generalized Emden-Fowler Equation

We give the description of nonlinear nonautonomous ordinary differential equations of order n with a so-called reducible linear part. The group classification of generalized Emden-Fowler equations of the mentioned class is done. We have found such laws of the variation of f(x) that the equation admits one, two, or tree one-parameter Lie groups.

Splitting methods for the nonlocal Fowler equation

We consider a nonlocal scalar conservation law proposed by Andrew C. Fowler to describe the dynamics of dunes, and we develop a numerical procedure based on splitting methods to approximate its solutions. We begin by proving the convergence of the well-known Lie formula, which is an approximation of the exact solution of order one in time. We next use the split-step Fourier method to approximat...