Help me generate graph with system

Question

Please help me with system I want to generate the graphs with system

\begin{tikzpicture}
\begin{axis}[axis equal,
axis lines=middle,
axis line style={->},
tick style={color=black},
xtick=\empty,
ytick=\empty
]
\addplot[samples=360, domain=0:2*pi] 
({x = a * sin(b * t) + x_0}, {y = a * sin(d * t) + y_0});
\end{axis}
\end{tikzpicture}

This system

{ = ∙ ( ∙ ) + 0

Please write a minimal working example. See link for more details what it means. — user202729, Jan 30 '22 at 01:22
In this forum, you should know a bit about how to ask a question (with MWE), how to accept an answer, etc — Black Mild, Jan 30 '22 at 03:03
Your previous question, which was the same, was closed as duplicate and you come back and ask the same thing without learning how to ask questions properly. Yous posted four times now and three of your posts have been closed. Maybe it's time to learn how to behave on TeX-SE. — SebGlav, Jan 30 '22 at 10:31

Raffaele Santoro · Answer 1 · 2022-01-30T12:14:38.190

Lissajous functions. Two examples plotted:

\documentclass[border=5mm]{standalone}
\usepackage{tikz}
\begin{document}
    \begin{tikzpicture}[scale=2]
    % axex and grid
    \draw[gray!15] (-3.6,-3.6) grid [step=0.5] (3.6,3.6);
    \draw[-latex] (-3.6,0) -- (3.6,0) node [right] {$x$};
    \draw[-latex] (0,-3.6) -- (0,3.6) node [above] {$y$};
    \foreach \i in {-3.5,-3.0,...,-.5,0.5,1,1.5,...,3.5}
    \draw (\i,0.05) -- (\i,-0.05) node [below] {\tiny $\i$};
    \foreach\i in {-3.5,-3.0,...,-.5,0.5,1,1.5,...,3.5}
    \draw (0.05,\i) -- (-0.05,\i) node [left]  {\tiny $\i$};

    % function1 to draw
    \draw[cyan, very thick] plot[variable=\t,domain=-30*pi:30*pi,smooth] ({3 * sin(7 * \t)}, {2 * sin(5 * \t)});

    % function2 to draw
    \draw[red, very thick] plot[variable=\t,domain=-60*pi:60*pi,smooth] ({2 * sin(2 * \t)}, {3 * sin(3 * \t)});
\end{tikzpicture}


\end{document}

OUTCOME:

ADD: From Lorenzo Pantieri manual, with this code:

\documentclass[border=5mm]{standalone}
\usepackage{pgfplots}
\begin{document}
    \begin{tikzpicture}
        \begin{axis}
            [title={Figura di Lissajous}]
            \addplot
            [domain=0:360,variable=\t,
            samples=200,smooth,thick,blue]
            ({sin(7t)},{sin(2t)});
        \end{axis}
    \end{tikzpicture}
\end{document}

you have the following output:

Definitely needs to increase the number of samples to make those curves smoother and more accurate, but nice answer. — SebGlav, Jan 30 '22 at 10:29
@ Nika I have added added what you search: the graph with addplot (from a document of Lorenzo Pantieri). — Raffaele Santoro, Jan 30 '22 at 17:42

Help me generate graph with system

1 Answers1