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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In other projects Wikimedia Commons. I created it with the following GNUplot code:. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.

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Lissajous curve – Academic Kids

By using this site, you agree to the Terms of Use and Privacy Policy. Summary [ edit ] Description Lissajous curve 1by2. I created it with the following GNUplot code: 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.

A Lissajous curve is used in experimental tests to determine if a device may be properly categorized as a memristor. Retrieved 17 September The figure below summarizes how the Lissajous figure changes over different phase shifts. In a sequence towards the end of an episode of Columbo entitled “Make me a Perfect Murder”, the detective sits watching Lissajous curves displayed to music on monitors in a TV outside broadcast van. This W3C- unspecified plot was created with Gnu plot.


Not to be confused with spirographswhich are generally enclosed by a circular boundary, whereas Lissajous curves are enclosed by rectangular boundaries.

This licensing tag was added to this file as part of the GFDL licensing update. Width Height The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.

This family of curves was investigated by Nathaniel Bowditch inand later in more detail by Jules Antoine Lissajous in 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 lissajojs.

I, the copyright holder of this work, hereby publish it under the following licenses:. Rational ratios produce closed connected or “still” figures, while irrational ratios produce figures that appear to rotate. On larger, more sophisticated audio mixing consoles an oscilloscope may courge built-in for this purpose. The following other wikis use this file: This article needs additional citations for verification.

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.

The visual form of these curves is often suggestive of a three-dimensional knotand indeed many kinds of knots, including those known as Lissajous knotscourne to the plane as Lissajous figures. Please help improve this article by adding citations to reliable sources.


The following 2 pages uses this file: The arrows show the direction of rotation of the Lissajous figure.

The beam in some versions traces out a lopsided figure-8 pattern on its side. Gnuplot diagrams Lissajous curves.

Index of /courbes2d/lissajous

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Lissajous curves can also be generated using an oscilloscope as illustrated. Prior to modern electronic equipment, Lissajous curves could be generated mechanically by means of a harmonograph. 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. Wikimedia Commons has media related to Lissajous curves.

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