continued

presentation.tex

 \documentclass[12pt]{article}
 \usepackage{fontspec}
 \usepackage{polyglossia}
+\usepackage{amsthm,amsmath}
 \usepackage{unicode-math}
-\usepackage{amsthm}
-\usepackage{tikz,pgfplots,subfig}
+\usepackage{tikz,pgfplots,subfig,circuitikz}
 \usepackage{xcolor}
 
 \setdefaultlanguage{french}
@@ -11,7 +11,7 @@
 \setmathfont{XITS Math}
 
 \newcommand\R{\symbf{R}}
-\def\FunctionF(#1, #2){(#1)*(#2)*(1-(#2))}
+\newcommand\abs[1]{\left\lvert #1 \right\rvert}
 
 \theoremstyle{plain}
 \newtheorem{thm}{Théorème}
@@ -133,4 +133,41 @@ Cascade de doublement de période.
 \newpage
 
 \section{Oscillateur de Chua}
+\begin{circuitikz}[scale=1.5]
+    \draw
+    (0,0) to[L=$L$,i=$i_L$] (0,2) to[R=$R$] (4,2)
+    to[Mr=$M$] (4,0) to[short] (0,0);
+    \draw (1,2) to[C=$C_2$,v=$v_{C_2}$] (1,0);
+    \draw (3,2) to[C=$C_1$,v=$v_{C_1}$] (3,0);
+\end{circuitikz}
+\begin{equation}\label{eq:chua}
+    \left\lbrace
+        \begin{aligned}
+            x' &= \alpha \left[y - h(x)\right]\\
+            y' &= x - y + z\\
+            z' &= -\beta y
+        \end{aligned}
+    \right.;\quad
+    h(x) = \begin{cases}
+        m_1x + (m_0 - m_1), & x \geq 1\\
+        m_0x, & \abs{x} \leq 1\\
+        m_1x - (m_0 - m-1), & x \leq -1
+        \end{cases}
+    \tag{$\mathfrak{C}$}
+\end{equation}
+    \begin{tikzpicture}
+        \begin{axis}[axis x line = middle, axis y line = middle]
+            \addplot[mark=none,domain = -4:-1] {(2/7)*x - (-(1/7) - (2/7))};
+            \addplot[mark=none,domain = -1:1] {-(1/7)*x};
+            \addplot[mark=none,domain = 1:4] {(2/7)*x + (-(1/7) - (2/7))}
+            node{$h(x)$};
+        \end{axis}
+    \end{tikzpicture}
+    \begin{tikzpicture}
+        \begin{axis}[3d box=complete, grid=major, xlabel=$x$, ylabel=$y$,
+            zlabel=$z$]
+            \addplot3[mark=none, ultra thin]
+            table [x=b, y=c, z=d, col sep=comma] {chua.csv};
+        \end{axis}
+    \end{tikzpicture}
 \end{document}