display_colorcycle.tex

\documentclass{article}
\usepackage{pgfplots}
\usepgfplotslibrary{colorbrewer}
\usepackage[active,tightpage]{preview}  %generates a tightly fitting border around the work
\PreviewEnvironment{tikzpicture}

\begin{document}

\begin{tikzpicture}
\begin{axis}[smooth,thick,domain=-2*pi:2*pi,cycle multi list={Set1-4}]
  \addplot gnuplot {tanh(x)};
  \addplot gnuplot {sin(x)};
  \addplot gnuplot {atan(x)};
  \addplot gnuplot {tanh(-x)};
\end{axis}
\end{tikzpicture}

\end{document}