How to draw curve inside a closed curve?

Question

I want to draw the following diagram:

enter image description here

I have limited idea about TikZ but I want to draw this picture with TikZ. I have tried to draw the figure but ultimately faied. My written code given here:

\documentclass{article}
\usepackage{tikz}
\begin{document}

\begin{tikzpicture}

\draw (0,0) ellipse  (49pt and 39pt);
\draw (0,1) to [out=90,in=190](0,-1);
\draw (0,1) to [out=180,in=195](0,-1);
\end{tikzpicture}

\end{document}

Anyone can give an idea so that I can draw the picture?

It is not necessary to draw curve exactly I have drawn.It may be different. To show two paths from $X_0$ to $X_1$. — Md Kutubuddin Sardar, Apr 20 '13 at 05:45
Try to play with values: \draw (0,1) to [out=-30, in=45](0,-1); \draw (0,1) to [out=-150,in=135](0,-1); — Qrrbrbirlbel, Apr 20 '13 at 05:48
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score 5 · Answer 1 · edited Apr 13 '17 at 12:34

After adjusting the in and out values a little bit and adding appropriate styles and nodes, one can get something like the following.

If the two paths inside the ellipse should have more kinks like in your picture you will need to give more coordinates and more in and out options (or similar solutions) or for nicer outputs the hobby library or the smooth options …

Code

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{decorations.markings}
\tikzset{
    Arrow/.style={
        decoration={
            name=markings,
            mark=at position .5 with \arrow{#1}
        },
        postaction=decorate
    },
    Arrow/.default=>
}
\begin{document}
\begin{tikzpicture}[
    auto,
    nodes={font=\scriptsize},
    every label/.append style={inner ysep=+1pt}
]
\draw (0,0) ellipse  (49pt and 39pt);
\path (60:49pt and 39pt) coordinate[label=above right:$x$];
\draw[Arrow]   (0,1) coordinate[label=above:$x_0$]
               to [out=-30,  in=45]  node {$f$} (0,-1)
               coordinate[label=below:$x_1$];
\draw[Arrow=<] (0,1) to [out=-150, in=135] node[swap] {$g$} (0,-1);
\end{tikzpicture}
\end{document}

Output

enter image description here

This shows 1 error : ' File 'standalone.cls' not found.\usetikzlibrary' — Md Kutubuddin Sardar, Apr 20 '13 at 06:09
@MdKutubuddinSardar The standalone class is only used for this MWE. You can simply use \documentclass{article}\usepackage{tikz} as usual. (I’ve updated the code.) — Qrrbrbirlbel, Apr 20 '13 at 06:20

How to draw curve inside a closed curve?

1 Answers1

Code

Output