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Periodic Solutions; Averaging Methods

1999
Abstract Consider an equation of the form x εh(x, x) x 0 where ε is small. Such an equation is in a sense close to the simple harmonic equation x x 0, whose phase diagram consists of circles centred on the origin. It should be possible to take advantage of this fact to construct approximate solutions: the phase paths will be nearly ...
D W Jordan, P Smith
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Averaging method of granular materials

Physical Review E, 2002
This paper presents an averaging method to link discrete to continuum variables of granular materials. Compared to the other methods proposed in the literature, it has advantages of being applicable to all flow regimes, and to granular flows with or without the effect of physical boundaries.
H P, Zhu, A B, Yu
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Optimizing signal averaging methods

Images of the Twenty-First Century. Proceedings of the Annual International Engineering in Medicine and Biology Society, 2003
A method of optimizing signal averaged recordings is described, in which the signal average remains unbiased. This is in contrast to techniques such as weighted averaging, where beats are given a weighting in the average that is proportional to their noise content.
P. Lander, E.J. Berbari
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Extended Averaging Method

2016
This chapter aims at studying the periodic solutions and the Hopf bifurcations of the SD oscillator using the so-called averaging method. This will be done in the case where the system has a viscous damping and an external harmonic excitation. A four dimensional averaging method is introduced by using the complete Jacobian elliptic integrals, directly ...
Qingjie Cao, Alain Léger
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Prescribed Average Temperature Method

2021
The system equations of the prescribed average temperature (PAT) mapping method are explained. The method allows to transfer the temperature field as computed with the lumped parameter thermal analysis to the finite element model while respecting the assumptions of the lumped parameter method.
Simon Appel, Jaap Wijker
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Complexification-averaging method via the averaged Lagrangian

Nonlinear Dynamics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Method of Averaging

2003
Consider a weakly nonlinear oscillation problem $$ \ddot{x} + \varepsilon h(x,\dot{x}) + x = 0,{\text{ }}\varepsilon {\text{ < < 1}}{\text{.}} $$ (4.1.1)
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Averages and Unitary Methods

1967
On a recent hiking holiday I walked 12 miles on the first day, 15 on the next, then 10, 0, 20 and 9 miles. Altogether I walked 66 miles in 6 days or an average of 11 miles each day. This number 11, called the average, is not the distance I walked on any day but rather a number to give some fair representation of my average performance.
D. M. Neal, D. J. New
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