%% Author_tex.tex
%% V1.0
%% 2012/12/11
%% developed by Techset
%%
%% This file describes the coding for comnet.cls
\documentclass{comnet}%%%%where comnet is the template name
%%%% To get the unnumbered reference the authors should use unnumbib in the optional of \documentclass.
%%%% Ex:\documentclass[unnumbib]{comnet}
%The authors can define any packages after the \documentclass{comnet} command.
%\usepackage{amsmath} for dealing with mathematics,
%\usepackage{amsthm} for dealing with theorem environments,
%\usepackage{cite} for dealing with citations
%\usepackage{hyperref} for linking the cross references
%\usepackage{graphics} for dealing with figures.
%\usepackage{algorithmic} for describing algorithms
%\usepackage{subfig} for getting the subfigures e.g., "Figure 1a and 1b" etc.
%\usepackage{url} It provides better support for handling and breaking URLs.
%The author can find the documentation of the above style file and any additional
%supporting files if required from "http://www.ctan.org"
% *** Do not adjust lengths that control margins, column widths, etc. ***
\begin{document}
\title{Insert the article title here}
\shorttitle{Insert short title here for recto running head} %%%for recto running head
\shortauthorlist{Insert short author list for verso running head} %%% for verso running head
\author{%%%% First author details
\name{Insert First author name$^*$}
\address{Insert First author address\email{$^*$Corresponding author: Insert corresponding author email here}}
%%%%%%% Second author details
\name{Insert Second author name}
\address{Insert second author address}
%%%%%%%
\and
%%%%%%% Third author details
\name{Insert third author}
\address{Third author address}}
\maketitle
\begin{abstract}
{The abstract text goes here.}
{Insert keyword text here.}
%%%% If classification number provided then
\\
2000 Math Subject Classification: 34K30, 35K57, 35Q80, 92D25
\end{abstract}
\section{Insert A head here}
This demo file is intended to serve as a ``starter file''
for comnet journal papers produced under \LaTeX\ using
comnet.cls v1.5e.
\subsection{Insert B head here}
Subsection text here.
\subsubsection{Insert C head here}
Subsubsection text here.
\section{Equations}
Sample equations.
%%% Numbered equation
\begin{align}\label{1.1}
\begin{split}
\frac{\partial u(t,x)}{\partial t} &= Au(t,x) \left(1-\frac{u(t,x)}{K}\right)-B\frac{u(t-\tau,x) w(t,x)}{1+Eu(t-\tau,x)},\\
\frac{\partial w(t,x)}{\partial t} &=\delta \frac{\partial^2w(t,x)}{\partial x^2}-Cw(t,x)+D\frac{u(t-\tau,x)w(t,x)}{1+Eu(t-\tau,x)},
\end{split}
\end{align}
\begin{align}\label{1.2}
\begin{split}
\frac{dU}{dt} &=\alpha U(t)(\gamma -U(t))-\frac{U(t-\tau)W(t)}{1+U(t-\tau)},\\
\frac{dW}{dt} &=-W(t)+\beta\frac{U(t-\tau)W(t)}{1+U(t-\tau)}.
\end{split}
\end{align}
%%%% Unnumbered equation
\[
\frac{\partial(F_1,F_2)}{\partial(c,\omega)}_{(c_0,\omega_0)} = \left|
\begin{array}{ll}
\frac{\partial F_1}{\partial c} &\frac{\partial F_1}{\partial \omega} \\\noalign{\vskip3pt}
\frac{\partial F_2}{\partial c}&\frac{\partial F_2}{\partial \omega}
\end{array}\right|_{(c_0,\omega_0)}=-4c_0q\omega_0 -4c_0\omega_0p^2 =-4c_0\omega_0(q+p^2)>0.
\]
\section{Enunciations}
%%%% Most of the enunciations like theorem, lemma, corollary, proposition, defintion,
%%%% condition, example, conjecture etc. are defined in the class file.
%%%% If the author wants to add or modify the enunciation style
%%%% they can define in the preamble as shown below.
%%%% \newtheoremstyle{theorem}{6pt}{6pt}{\rm}{}{\sffamily}{ }{ }{}
%%%% \theoremstyle{theorem}
%%%% \newtheorem{theorem}{\sc Theorem}[section]
%%%%\newtheoremstyle{corollary}{6pt}{6pt}{\rm}{}{\sffamily}{ }{ }{}
%%%%\theoremstyle{corollary}
%%%%\newtheorem{corollary}{\sc Corollary}[section]
%%%%\newtheoremstyle{definition}{6pt}{6pt}{\rm}{}{\sffamily}{ }{ }{}
%%%%\theoremstyle{definition}
%%%%\newtheorem{definition}[theorem]{\sc Definition}
%%%%
%%%%\newtheorem{exercise}[theorem]{Exercise}
\begin{theorem}\label{T0.1}
Assume that $\alpha>0, \gamma>1, \beta>\frac{\gamma+1}{\gamma-1}$.
Then there exists a small $\tau_1>0$, such that for $\tau\in
[0,\tau_1)$, if $c$ crosses $c(\tau)$ from the direction of
to a small amplitude periodic traveling wave solution of
(2.1), and the period of $(\check{u}^p(s),\check{w}^p(s))$ is
\[
\check{T}(c)=c\cdot \left[\frac{2\pi}{\omega(\tau)}+O(c-c(\tau))\right].
\]
\end{theorem}
\begin{condition}\label{C2.2}
From (0.8) and (2.10), it holds
$\frac{d\omega}{d\tau}<0,\frac{dc}{d\tau}<0$ for $\tau\in
[0,\tau_1)$. This fact yields that the system (2.1) with delay
$\tau>0$ has the periodic traveling waves for smaller wave speed $c$
than that the system (2.1) with $\tau=0$ does. That is, the
delay perturbation stimulates an early occurrence of the traveling waves.
\end{condition}
\section{Figures \& Tables}
The output for figure is:
\begin{figure}[!h]
%\centering\includegraphics[width=2.5in]{figurename.eps}
%%%call your figure name in the place "figurename.eps"
\caption{Insert figure caption here}
\label{fig_sim}
\end{figure}
An example of a double column floating figure using two subfigures.
(The subfig.sty package must be loaded for this to work.)
The subfigure \verb+\label+ commands are set within each subfloat command, the
\verb+\label+ for the overall figure must come after \verb+\caption+.
\verb+\hfil+ must be used as a separator to get equal spacing.
The subfigure.sty package works much the same way, except \verb+\subfigure+ is
used instead of \verb+\subfloat+.
%\begin{figure*}[!h]
%\centerline{\subfloat[Case I]\includegraphics[width=2.5in]{figurename.eps}%
%\label{fig_first_case}}
%\hfil
%\subfloat[Case II]{\includegraphics[width=2.5in]{figurename.eps}%
%\label{fig_second_case}}}
%\caption{Simulation results}
%\label{fig_sim}
%\end{figure*}
\vskip2pc
\noindent The output for table is:
\begin{table}[!h]
\caption{An Example of a Table}%%%Table caption goes here
\label{table_example}
\centering
\begin{tabular}{|c||c|}%%%The number of columns has to be defined here
\hline
One & Two\\ %%%% Table body
\hline
Three & Four\\%%%% Table body
\hline
\end{tabular}
\end{table}%%%End of the table
\section{Conclusion}
The conclusion text goes here.
\section*{Acknowledgment}
Insert the Acknowledgment text here.
% can use a bibliography generated by BibTeX as a .bbl file
% BibTeX documentation can be easily obtained at:
% http://www.ctan.org/tex-archive/biblio/bibtex/contrib/doc/
\bibliographystyle{comnet}
\bibliography{sample}
%
% once the .bbl file has been generated then place the text in your article.
% To get the unnumbered reference style the author should use [unnumbib]
%as an option in the document class. For example: \documentclass[unnumbib]{comnet}
% \begin{thebibliography}{99}
% \bibitem{Rottmann:2010a}
% {\sc Rottmann-Matthes, J.} (2011a) Linear stability of traveling
% waves in nonstrictly hyperbolic PDES.\break {\em J. Dynam.
% Differential Equations}, \textbf{23}, 365--393.
% \bibitem{Rottmann:2011a}
% {\sc Rottmann-Matthes, J.} (2011b) Stability and freezing of
% nonlinear waves in first-order hyperbolic PDEs. Preprint
% 11-016, CRC 701, Bielefeld University.
% \bibitem{Rottmann:2011b}
% {\sc Rottmann-Matthes, J.} (2012) Stability of
% parabolic-hyperbolic traveling waves. Preprint 12-005, CRC
% 701, Bielefeld University.
% \bibitem{RowleyKevrekidisMarsdenLust:2003}
% {\sc Rowley, C. W., Kevrekidis, I. G., Marsden, J. E. \& Lust,
% K.} (2003) Reduction and reconstruction for self-similar
% dynamical systems. {\em Nonlinearity}, \textbf{16},
% 1257--1275.
% \end{thebibliography}
\end{document}
