-\@writefile{toc}{\contentsline {section}{\numberline {16.2}Basic Recalls}{360}}
-\newlabel{section:BASIC RECALLS}{{16.2}{360}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {16.2.1}Devaney's Chaotic Dynamical Systems}{361}}
-\@writefile{toc}{\contentsline {section}{\numberline {16.3}Toward Efficiency and Improvement for CI PRNG}{361}}
-\newlabel{sec:efficient PRNG}{{16.3}{361}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {16.3.1}First Efficient Implementation of a PRNG based on Chaotic Iterations}{361}}
-\newlabel{algo:seqCIPRNG}{{16.1}{361}}
-\@writefile{lol}{\contentsline {lstlisting}{\numberline {16.1}C code of the sequential PRNG based on chaotic iterations}{361}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {16.3.2}Efficient PRNGs based on Chaotic Iterations on GPU}{361}}
-\newlabel{sec:efficient PRNG gpu}{{16.3.2}{361}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {16.3.3}Naive Version for GPU}{362}}
-\@writefile{loa}{\contentsline {algocf}{\numberline {16}{\ignorespaces Main kernel of the GPU ``naive'' version of the PRNG based on chaotic iterations\relax }}{362}}
-\newlabel{algo:gpu_kernel}{{16}{362}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {16.3.4}Improved Version for GPU}{363}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {16.3.5}Chaos Evaluation of the Improved Version}{363}}
-\newlabel{IR}{{17}{364}}
-\@writefile{loa}{\contentsline {algocf}{\numberline {17}{\ignorespaces Main kernel for the chaotic iterations based PRNG GPU efficient version\relax }}{364}}
-\newlabel{algo:gpu_kernel2}{{17}{364}}
-\@writefile{toc}{\contentsline {section}{\numberline {16.4}Experiments}{364}}
-\newlabel{sec:experiments}{{16.4}{364}}
-\@writefile{lof}{\contentsline {figure}{\numberline {16.1}{\ignorespaces Quantity of pseudorandom numbers generated per second with the xorlike-based PRNG\relax }}{365}}
-\newlabel{fig:time_xorlike_gpu}{{16.1}{365}}
-\@writefile{lof}{\contentsline {figure}{\numberline {16.2}{\ignorespaces Quantity of pseudorandom numbers generated per second using the BBS-based PRNG\relax }}{366}}
-\newlabel{fig:time_bbs_gpu}{{16.2}{366}}
+\@writefile{toc}{\contentsline {section}{\numberline {16.2}Basic Recalls}{361}}
+\newlabel{section:BASIC RECALLS}{{16.2}{361}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {16.2.1}A Short Presentation of Chaos}{361}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {16.2.2}On Devaney's Definition of Chaos}{361}}
+\newlabel{sec:dev}{{16.2.2}{361}}
+\newlabel{Devaney}{{16.1}{361}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {16.2.3}Chaotic iterations}{362}}
+\newlabel{subsection:Chaotic iterations}{{16.2.3}{362}}
+\newlabel{Chaotic iterations}{{2}{362}}
+\newlabel{eq:generalIC}{{16.4}{363}}
+\newlabel{equation Oplus}{{16.5}{363}}
+\@writefile{toc}{\contentsline {section}{\numberline {16.3}Toward Efficiency and Improvement for CI PRNG}{363}}
+\newlabel{sec:efficient PRNG}{{16.3}{363}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {16.3.1}First Efficient Implementation of a PRNG based on Chaotic Iterations}{363}}
+\newlabel{algo:seqCIPRNG}{{16.1}{363}}
+\@writefile{lol}{\contentsline {lstlisting}{\numberline {16.1}C code of the sequential PRNG based on chaotic iterations}{363}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {16.3.2}Efficient PRNGs based on Chaotic Iterations on GPU}{364}}
+\newlabel{sec:efficient PRNG gpu}{{16.3.2}{364}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {16.3.3}Naive Version for GPU}{364}}
+\@writefile{loa}{\contentsline {algocf}{\numberline {16}{\ignorespaces Main kernel of the GPU ``naive'' version of the PRNG based on chaotic iterations\relax }}{365}}
+\newlabel{algo:gpu_kernel}{{16}{365}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {16.3.4}Improved Version for GPU}{365}}
+\newlabel{IR}{{17}{366}}
+\@writefile{loa}{\contentsline {algocf}{\numberline {17}{\ignorespaces Main kernel for the chaotic iterations based PRNG GPU efficient version\relax }}{366}}
+\newlabel{algo:gpu_kernel2}{{17}{366}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {16.3.5}Chaos Evaluation of the Improved Version}{366}}
+\@writefile{toc}{\contentsline {section}{\numberline {16.4}Experiments}{367}}
+\newlabel{sec:experiments}{{16.4}{367}}
+\@writefile{lof}{\contentsline {figure}{\numberline {16.1}{\ignorespaces Quantity of pseudorandom numbers generated per second with the xorlike-based PRNG\relax }}{368}}
+\newlabel{fig:time_xorlike_gpu}{{16.1}{368}}
+\@writefile{toc}{\contentsline {section}{Bibliography}{369}}