Updated PyCont from Drew LaMar with new test functions, bifurcation p…

…oint detection (esp. for discrete systems) - already merged with existing PyCont updates

PyCont_docs/ContTypes.aux

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+\relax 
+\ifx\hyper@anchor\@undefined
+\global \let \oldcontentsline\contentsline
+\gdef \contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
+\global \let \oldnewlabel\newlabel
+\gdef \newlabel#1#2{\newlabelxx{#1}#2}
+\gdef \newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
+\AtEndDocument{\let \contentsline\oldcontentsline
+\let \newlabel\oldnewlabel}
+\else
+\global \let \hyper@last\relax 
+\fi
+
+\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction and notation}{2}{section.1}}
+\@writefile{toc}{\contentsline {section}{\numberline {2}Bordered Matrix Methods (\texttt  {class BorderMethod(TestFunc)})}{2}{section.2}}
+\newlabel{sec:bord}{{2}{2}{Bordered Matrix Methods (\texttt {class BorderMethod(TestFunc)})\relax }{section.2}{}}
+\newlabel{eq:bord1}{{1}{2}{Bordered Matrix Methods (\texttt {class BorderMethod(TestFunc)})\relax }{equation.2.1}{}}
+\newlabel{eq:bord2}{{2}{3}{Bordered Matrix Methods (\texttt {class BorderMethod(TestFunc)})\relax }{equation.2.2}{}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Initialization (\texttt  {BorderMethod.setdata})}{3}{subsection.2.1}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Function evaluation (\texttt  {BorderMethod.func})}{3}{subsection.2.2}}
+\@writefile{toc}{\contentsline {section}{\numberline {3}Codimension 1}{3}{section.3}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Continuous Dynamical Systems}{3}{subsection.3.1}}
+\@writefile{toc}{\contentsline {subsubsection}{\numberline {3.1.1}Equilibrium Curves (EP-C) (\texttt  {class EquilibriumCurve(Continuation)})}{3}{subsubsection.3.1.1}}
+\@writefile{toc}{\contentsline {paragraph}{\numberline {3.1.1.1}Mathematical definition}{3}{paragraph.3.1.1.1}}
+\@writefile{toc}{\contentsline {paragraph}{\numberline {3.1.1.2}Detection of bifurcation points}{4}{paragraph.3.1.1.2}}
+\newlabel{eq:BP-T1}{{3}{4}{Detection of bifurcation points\relax }{equation.3.3}{}}
+\newlabel{eq:LP-T1}{{4}{4}{Detection of bifurcation points\relax }{equation.3.3}{}}
+\newlabel{eq:H-T1}{{5}{4}{Detection of bifurcation points\relax }{equation.3.3}{}}
+\newlabel{eq:LP-T2}{{6}{4}{Detection of bifurcation points\relax }{}{}}
+\newlabel{eq:LP-T3}{{6}{4}{Detection of bifurcation points\relax }{}{}}
+\newlabel{eq:H-T2}{{6}{4}{Detection of bifurcation points\relax }{}{}}
+\newlabel{eq:H-T3}{{6}{4}{Detection of bifurcation points\relax }{}{}}
+\@writefile{toc}{\contentsline {paragraph}{\numberline {3.1.1.3}Location of bifurcation points (general)}{4}{paragraph.3.1.1.3}}
+\citation{Beyn_numericalcontinuation}
+\newlabel{sec:locateBP}{{3.1.1.4}{5}{Location of branch points (\texttt {class BranchPoint(BifPoint).locate})\relax }{paragraph.3.1.1.4}{}}
+\@writefile{toc}{\contentsline {paragraph}{\numberline {3.1.1.4}Location of branch points (\texttt  {class BranchPoint(BifPoint).locate})}{5}{paragraph.3.1.1.4}}
+\@writefile{toc}{\contentsline {subparagraph}{\numberline {3.1.1.4.1}Computation of branch direction}{5}{subparagraph.3.1.1.4.1}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Discrete Dynamical Systems}{6}{subsection.3.2}}
+\@writefile{toc}{\contentsline {section}{\numberline {4}Codimension 2}{6}{section.4}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {4.1}Continuous Dynamical Systems}{6}{subsection.4.1}}
+\@writefile{toc}{\contentsline {subsubsection}{\numberline {4.1.1}Fold Curves (LP-C) (\texttt  {class FoldCurve(Continuation)})}{6}{subsubsection.4.1.1}}
+\newlabel{eq:LP-C}{{7}{6}{Fold Curves (LP-C) (\texttt {class FoldCurve(Continuation)})\relax }{equation.4.7}{}}
+\newlabel{eq:BT-T1}{{8}{6}{Fold Curves (LP-C) (\texttt {class FoldCurve(Continuation)})\relax }{equation.4.8}{}}
+\newlabel{eq:CP-T1}{{9}{6}{Fold Curves (LP-C) (\texttt {class FoldCurve(Continuation)})\relax }{equation.4.8}{}}
+\newlabel{eq:BPF-T1}{{10}{6}{Fold Curves (LP-C) (\texttt {class FoldCurve(Continuation)})\relax }{equation.4.8}{}}
+\bibdata{ContTypes}
+\bibcite{Beyn_numericalcontinuation}{1}
+\bibstyle{plain}

PyCont_docs/ContTypes.bbl

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+\begin{thebibliography}{1}
+
+\bibitem{Beyn_numericalcontinuation}
+Wolf-J{\"u}rgen Beyn, Alan Champneys, Eusebius Doedel, Willy Govaerts, Yuri~A
+  Kuznetsov, and Bj{\"o}rn Sandstede.
+\newblock {Numerical Continuation, And Computation Of Normal Forms}.
+\newblock In {\em In Handbook of dynamical systems III: Towards applications}.
+
+\end{thebibliography}

PyCont_docs/ContTypes.bib

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+@inproceedings{Beyn_numericalcontinuation,
+author = {Beyn, Wolf-J{\"u}rgen and Champneys, Alan and Doedel, Eusebius and Govaerts, Willy and Kuznetsov, Yuri A and Sandstede, Bj{\"o}rn},
+title = {{Numerical Continuation, And Computation Of Normal Forms}},
+booktitle = {In Handbook of dynamical systems III: Towards applications}
+}
+

PyCont_docs/ContTypes.blg

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+This is BibTeX, Version 0.99c (TeX Live 2009)
+The top-level auxiliary file: ContTypes.aux
+The style file: plain.bst
+Database file #1: ContTypes.bib
+Warning--empty year in Beyn_numericalcontinuation
+You've used 1 entry,
+            2118 wiz_defined-function locations,
+            501 strings with 4287 characters,
+and the built_in function-call counts, 417 in all, are:
+= -- 30
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+- -- 12
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+(There was 1 warning)