Exchanging ideas with Stuart Fowler: Fowler , S. 1987. Christian Educational Distinctives

R. S. Fowler

Thermoregulation and Mate - Selection in Fowler ' s Toads ?

undifferentiated periphery and immaturity of hindlimb motoneurons. The early appearance of the pattern generator for coordination between the hindlimbs, activation of this pattern generator only during operation of the locomotor program for tail oscillations, and the rigid phase and frequency locking between bursts of primary and hindlimb motoneurons all suggest that the two pattern generators ...

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...

Quasi-Lie schemes and Emden–Fowler equations

The recently developed theory of quasi-Lie schemes is studied and applied to investigate several equations of Emden type and a scheme to deal with them and some of their generalisations is given. As a first result we obtain t-dependent constants of the motion for particular instances of Emden equations by means of some of their particular solutions. Previously known results are recovered from t...