帮助我使用系统生成图表

Question

请帮助我使用系统我想用系统生成图表

\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}

本系统

{

Answer 1

利萨如函数。绘制两个示例：

\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}

结果：

添加：来自 Lorenzo Pantieri 手册，代码如下：

\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(7*t)},{sin(2*t)});
        \end{axis}
    \end{tikzpicture}

    
\end{document}

输出结果如下：