COURBE DE LISSAJOUS PDF
Classification par l’équation cartésienne explicite en y (courbes algébriques): . LISSAJOUS (COURBE OU FIGURE DE/) · LISSE (COURBE/) · LITUUS. équerre f LISP abbr (list processing language) COMP langage de traitement de listes m Lissajous: – figures npl PHYS courbes de Lissajous f pl list’ n COMP.
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The timestamp is only as accurate as the clock in the camera, and it may be completely wrong. Coirbe licensing lissajpus was added to this file as part of the GFDL licensing update.
This article includes a list of referencesbut its sources remain unclear because it has insufficient inline citations. Retrieved 17 September Summary [ edit ] Description Lissajous curve 1by2. From Wikipedia, the free encyclopedia.
File:Lissajous curve 1by2.svg
I created it with the following GNUplo. Unsourced material may be challenged and removed. In other projects Wikimedia Commons.
If the file has been modified from its liseajous state, some details such as the timestamp may not fully reflect those of the original file. A Lissajous curve, that can be expressed in parametric form as: November Learn how and when to remove this template message.
An octopus circuit can be used to demonstrate the waveform images on an oscilloscope. Lissajous figures were sometimes displayed on oscilloscopes meant to simulate high-tech equipment in science-fiction TV shows and movies in the s and s.
Not coudbe be confused with spirographswhich are generally enclosed by a circular courbw, whereas Lissajous lissajjous are enclosed by rectangular boundaries. I created it with the following GNUplot code: Prior to modern electronic equipment, Lissajous curves could be generated mechanically by means of a harmonograph. I created it with the following GNUplot code:. Rational ratios produce closed connected or “still” figures, while irrational ratios produce figures that appear to rotate.
Please help improve this article by adding citations to reliable sources. The figure below summarizes how the Lissajous figure changes over different phase shifts.
Retrieved from ” https: The beam in some versions traces out a lopsided figure-8 pattern on its side. This family of curves was investigated by Nathaniel Bowditch inand later in more detail by Jules Antoine Lissajous in The relation of some Lissajous curves to Chebyshev polynomials is clearer to understand if the Lissajous curve which generates each of them is expressed using cosine functions rather than sine functions. This page was last edited on 24 Octoberat Description Lissajous curve 1by2.
On larger, more sophisticated audio mixing consoles an oscilloscope may be built-in for this purpose. A Lissajous curve is used in experimental tests to determine if a device may be properly categorized as a memristor.
The visual form of these curves is often suggestive of a three-dimensional knotand indeed many kinds of knots, including those known as Lissajous knotsproject to the plane as Lissajous figures. This article needs additional citations for verification. Articles needing additional references from November All articles needing additional coudbe All articles with lissanous statements Articles with unsourced statements from September Articles lacking in-text citations from November Lossajous articles lacking in-text citations Commons category link is on Wikidata Wikipedia articles with NDL identifiers Articles containing video clips.
Two phase-shifted sinusoid inputs are applied to the oscilloscope in X-Y mode and the phase relationship between the signals is presented as a Lissajous figure. Lissajous curves can also be generated using an oscilloscope as illustrated. In the professional audio world, this method is used for realtime analysis of the phase relationship between the left and right channels of a stereo audio signal.
When the input to an LTI system is sinusoidal, the output is sinusoidal with the same frequency, but it may have a different amplitude and some phase shift.
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Lissajous curve – Wikipedia
Lissajous figures are sometimes used in graphic design as logos. Width Height From Wikimedia Commons, the free media repository. Gnuplot diagrams Lissajous curves. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
This page was last edited on 4 Marchat Please help to improve this article by introducing more precise citations. The following other wikis use this file: You may select the license of your choice.