[hdrcouchot.git] / main.tex

%% Use the standard UP-methodology class
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\documentclass[french]{spimufchdr}
\usepackage{dsfont}
\usepackage{graphicx}
\usepackage{listings}
%\usepackage[font=footnotesize]{subfig}
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\usepackage{thmtools, thm-restate}
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\addjury{First}{Name}{Rapporteur}{Professeur à l'Université de XXX}
\addjury{First}{Name}{Examinateur}{Professeur à l'Université de XXX}
 
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\newtheorem{theorem}{Théorème}
\newtheorem{lemma}{Lemme}
\newtheorem*{xpl}{Exemple}
\newtheorem*{Proof}{Preuve}
\newtheorem{Def}{Définition}

\begin{document}

 



\chapter*{Introduction}

Blabla blabla.

\mainmatter

\part{Système Booléens}

\chapter{Iterations discrètes de Systèmes Dynamiques booléens}
\section{Formalisation}
\input{sdd}


\section{Combinaisons synchrones et asynchrones}
\input{mixage}


\section{Conclusion}
Introduire de l'asynchronisme peut permettre de réduire le temps 
d'exécution global, mais peut aussi introduire de la divergence. 
Dans ce chapitre, nous avons exposé comment construire un mode combinant les
avantage du synchronisme en terme de convergence avec les avantages 
de l'asynchronisme en terme de vitesse de convergence.




\chapter[Preuve de convergence de systèmes booléens]{Preuve automatique de  convergence de systèmes booléens}\label{chap:promela}
\input{modelchecking}










% \part{Conclusion et Perspectives}

% \chapter{Conclusion}

% Blabla blabla.


\appendix

\chapter{Preuves sur les SDD}

\section{Convergence du mode mixe}\label{anx:mix}
\input{annexePreuveMixage}


\section{Correction et complétude de la 
  vérification de convergence par SPIN}\label{anx:promela}
\input{annexePromelaProof}



\chapter{Preuves sur les systèmes chaotiques}


\section{Continuité de $G_f$ dans $(\mathcal{X},d)$}\label{anx:cont}
\input{annexecontinuite.tex}



\section{Théorème~\ref{th:Adrien}}\label{anx:sccg}
\input{annexesccg}




\backmatter

\bibliographystyle{apalike}
\bibliography{abbrev,biblioand}
\listoffigures
\listoftables
\listofdefinitions
 
\end{document}