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a b s t r a c t A periodic steady state is a familiar phenomenon in many areas of theoretical biology and provides a satisfying explanation for those animal communities in which populations are observed to oscillate in a reproducible periodic manner.
1 Introduction Resonant waves can be generated when a disturbance such as an earthquake or tornado moves down the edge of a bay or harbour. The qualitative e¤ect of such a disturbance can be observed in a classroom, with minimal apparatus, on a smal
An overcrowding problem of nyala, and lately also of impala in the Ndumo Game Reserve, South Africa, has been detrimental to other species and vegetation structures over a period of two decades. In the present study a deterministic model for three co
Autor:
Fay, TH
Summary Non-linear second-order differential equations whose solutions are the elliptic functions sn(t, k), cn(t, k) and dn(t, k) are investigated. Using Mathematica, high precision numerical solutions are generated. From these data, Fourier coeffici
Summary A result is discussed which permits the summing of series whose terms have more complicated sign patterns than simply alternating plus and minus. The Alternating Series Test, commonly taught in beginning calculus courses, is a corollary. This
Autor:
Fay, TH, Kloppers, PH
Summary The paper investigates the Gibbs’ phenomenon at a jump discontinuity for Fourier–Bessel series expansions. The unexpected thing is that the Gibbs’ constant for Fourier–Bessel series appears to be the same as that for Fourier series ex
Autor:
Fay, TH
Summary Coupled spring equations for modelling the motion of two springs with weights attached, hung in series from the ceiling are described. For the linear model using Hooke’s Law, the motion of each weight is described by a fourthorder linear di
A nonrelativistic model for the classical electrodynamic equations of motion for a radiating particle is investigated. This model is suitable for discussion in a beginning differential equations course and beginning physics course on particle dynamic
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