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**Date:** 2014/01/01
**Subject:**
Eigenvalue problem.
| Bryan’s effect.
| Resonator gyroscope.
| Thin shell theory.
| Shooting method.
| Rayleigh–Ritz method.
**Language:** en
**Type:** Text
**Identifier:** tut:4518
**Description:**
In 1890 G.H. Bryan observed that when a vibrating structure is rotated with respect to inertial space, the vibrating pattern rotates at a rate proportional to the inertial rate of rotation. This effec
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**Date:** 2009/07/24
**Language:** en
**Type:** Text
**Identifier:** tut:4211
**Description:**
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
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**Date:** 2009/07/24
**Language:** en
**Type:** Text
**Identifier:** tut:3426
**Description:**
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
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**Date:** 2009-05-01
**Type:** Text
**Identifier:** tut:1625
**Description:**
Introduction When a vibrating structure is subjected to a rotation at an angular rate , the vibrating pattern rotates with respect to the structure at a rate proportional to . This effect, known as “B
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**Date:** 2007-07-01
**Type:** Text
**Identifier:** tut:1624
**Description:**
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,
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**Date:** 2007-03-26
**Type:** Text
**Identifier:** tut:1620
**Description:**
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 th
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**Date:** 2005
**Language:** en
**Type:** Text
**Identifier:** tut:3572
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**Date:** 2004/05/01
**Language:** en
**Type:** Text
**Identifier:** tut:3400
**Description:**
In a recent article, we considered factors influencing the build-up of corruga-tions on dirt roads and the reactions of vehicles to them. We suggested that corrugations are (at least in part) a conseq
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**Authors:**
Fay, Temple H.
**Date:** 2003-07-31
**Type:** Text
**Identifier:** tut:1635
**Description:**
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 ge
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**Date:** 2003-06-11
**Type:** Text
**Identifier:** tut:1634
**Description:**
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 beginn
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**Authors:**
Fay, Temple H.
**Date:** 2003/01/01
**Language:** en
**Type:** Text
**Identifier:** tut:2518
**Description:**
The phenomenon of nonlinear resonance (sometimes called the ‘jump phenomenon’) is examined and second-order van der Pol plane analysis is employed to indicate that this phenomenon is not a feature of
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**Date:** 2003-01-01
**Type:** Text
**Identifier:** tut:1632
**Description:**
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
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**Date:** 2003
**Type:** Text
**Identifier:** tut:1621
**Description:**
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
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**Date:** 2003
**Language:** en
**Type:** Text
**Identifier:** tut:3250
**Description:**
Part of the teaching "reform" movement established in the undergraduate curriculum has included an emphasis on graphical interpretation, and the study of linear equations and their inverses plays an i
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**Date:** 2001-11-16
**Type:** Text
**Identifier:** tut:1637
**Description:**
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 cours
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