Objectives: To find the amplitude and period of a trigonometric function from its equation; to find the amplitude and period of a trigonometric function from its graph; to graph sine and cosine functions with various amplitudes and periods.
jwilson.coe.uga.edu/emt668/EMAT6680.2000/Umberger/EMAT6... jwilson.coe.uga.edu/emt668/EMAT6680.2000/Umberger/EMAT6690smu/Day2/Day2.html
Amplitude - Wikipedia, the free encyclopedia
Amplitude is the magnitude of change in the oscillating variable, with each oscillation, within an oscillating system. For instance, sound waves are oscillations in atmospheric pressure and their amp...
en.wikipedia.org/wiki/Amplitude
Harmonic oscillator - Wikipedia, the free encyclopedia
In classical mechanics, a harmonic oscillator is a system which, when displaced from its equilibrium position, experiences a restoring force, F , proportional to the displacement, x according to...
en.wikipedia.org/wiki/Harmonic_oscillator
Then the nonlinear PDE might be reduced to an infinite set of ODE by use of some method such as Galerkin's to give an amplitude equation of the following form...
home.iitk.ac.in/~sghorai/NOTES/nonlinear/node5.html
View Proceedings By Meeting ... Reprint Permission Request Form ... The method is based on the amplitude Ginzburg-Landau (GL) equations and analysis of bifurcation diagrams.
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CiteSeerX - Document Details (Isaac Councill, Lee Giles): This paper extends an earlier calculation by Zhang & Vi~nals (1997) of the amplitude equation governing Faraday waves in the weakly nonlinear regime. ... Amplitude equation and pattern selection in Faraday waves (1998) [3 citations — 0 self]
citeseer.ist.psu.edu/chen98amplitude.html citeseer.ist.psu.edu/chen98amplitude.html
The full amplitude equation (as introduced by Newell and Whitehead and Segel) is derived directly from the hydrodynamic equations for both "free" and "rigid" upper and lower boundaries. ... The coefficients involved, including the interaction parameter of nonparallel rolls, are explicitly calculated for ... Item Type: Article...
resolver.caltech.edu/CaltechAUTHORS:CROpof80
An amplitude equation is derived for a four-wave-mixing geometry with nearly counterpropagating, mutually incoherent, nondiffracting pump beams, spatially overlapping in a photorefractive material with a nonlocal response. ... This equation extends the earlier linear two-dimensional theory to the weakly nonlinear regime.
resolver.caltech.edu/CaltechAUTHORS:ENGjosab97
Based on the method of multiple scales we derive a system of coupled amplitude equations for the slowly varying part of the longitudinal distribution function and for the resonator wave envelope, The equation governing the slow evolution of the voltage envelope is shown to be of Ginzburg-Landau type.
www.slac.stanford.edu/pubs/slacpubs/8000/slac-pub-8358.... www.slac.stanford.edu/pubs/slacpubs/8000/slac-pub-8358.html
Previous abstract|Graphical version|Text version| Next abstract ... Session 9S - Waves and Instabilities.; POSTER session, Friday morning, November 15; Exhibit Hall - Concourse Level, Adam's Mark ... [9S.24] Amplitude equation for an electrostatic mode in a multi-species Vlasov plasma...
flux.aps.org/meetings/BAPSDPP96/abs/G730024.html