LISSAJOUS FIGURES EQUATION SERIES

Figure 5.8 lists the source code, which increases the relative phase from 0 to 2 by 1500 steps. The reader should watch how Lissajous figures are animated with different phases. In this figure, the frequency ratio is n x:n y 1 : 2. The ratio a/b also determines the number of lobes in the figure ratios of 3/1 or 1/3 produce figures with three major lobes. Their appearance is sensitive to the ratio a/b.

LISSAJOUS FIGURES EQUATION SERIES

% Because three-dimensional data is not supported for GIF files, % call rgb2ind to convert the RGB data in the image to an indexed image A with a colormap map.ДЇilename = 'Lissajous. Figure 5.7 shows a series of snapshots of an animated Lissajous figure. Lissajous curves are given by the two parametric equations shown here. Will getframeEvery image captured, write GIF Animation file гЂ‚ %% % Save images into a GIF file. In order to accurately examine the function of a variable one needs to graph the system of parametric equations (below) while keeping all of the other variables constant. Figure 5. But here I will just plot the resultant motion. Figure 5.7 shows a series of snapshots of an animated Lissajous figure. There are mathematical as well as graphical method to construct them. we encounter them when we observe the resultant of two perpendicular oscillation of different frequencies. = frame2im(frame) % write image data to `im` % Remove previous head marker except for the last one if idx~= length(t) Teti, 1 Exploring Variable Effects In the system of parametric equations, the variables affect the outcome of the Lissajous figure in different ways. One of the fascinating stuff that we encounter in waves and oscillation class is Lissajous figure.

Lissajous figures equation