build based on 8addd6c

dev/BifProblem/index.html

@@ -29,4 +29,4 @@
 prob2 = BifurcationKit.re_make(prob, u0 = rand(3))</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">┌─ Bifurcation Problem with uType Vector{Float64}
 ├─ Inplace:  false
 ├─ Symmetric: false
-└─ Parameter: a</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plotting/">« Plot functions</a><a class="docs-footer-nextpage" href="../diffeq/">DiffEq wrapper »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Saturday 16 December 2023 12:53">Saturday 16 December 2023</span>. Using Julia version 1.9.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+└─ Parameter: a</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../plotting/">« Plot functions</a><a class="docs-footer-nextpage" href="../diffeq/">DiffEq wrapper »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Friday 29 December 2023 20:14">Friday 29 December 2023</span>. Using Julia version 1.10.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/MooreSpence/index.html

@@ -14,4 +14,4 @@
 0 \\
 1
 \end{array}\right), \quad j=0,1,2, \ldots
-\end{array}\right.\]</p><p>We initialise <span>$\phi_1^0$</span> with the tangent.</p><h2 id="Step-size-control"><a class="docs-heading-anchor" href="#Step-size-control">Step size control</a><a id="Step-size-control-1"></a><a class="docs-heading-anchor-permalink" href="#Step-size-control" title="Permalink"></a></h2><p>Each time the corrector fails, the step size <span>$ds$</span> is halved. This has the disadvantage of having lost Newton iterations (which costs time) and imposing small steps (which can be slow as well). To prevent this, the step size is controlled internally with the idea of having a constant number of Newton iterations per point. This is in part controlled by the aggressiveness factor <code>a</code> in <code>ContinuationPar</code>.</p><h3 id="References"><a class="docs-heading-anchor" href="#References">References</a><a id="References-1"></a><a class="docs-heading-anchor-permalink" href="#References" title="Permalink"></a></h3><section class="footnotes is-size-7"><ul><li class="footnote" id="footnote-Meijer"><a class="tag is-link" href="#citeref-Meijer">Meijer</a><blockquote><p>Meijer, Dercole, and Oldeman, “Numerical Bifurcation Analysis.”</p></blockquote></li></ul></section></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../PALC/">« PALC</a><a class="docs-footer-nextpage" href="../ANM/">ANM »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Saturday 16 December 2023 12:53">Saturday 16 December 2023</span>. Using Julia version 1.9.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+\end{array}\right.\]</p><p>We initialise <span>$\phi_1^0$</span> with the tangent.</p><h2 id="Step-size-control"><a class="docs-heading-anchor" href="#Step-size-control">Step size control</a><a id="Step-size-control-1"></a><a class="docs-heading-anchor-permalink" href="#Step-size-control" title="Permalink"></a></h2><p>Each time the corrector fails, the step size <span>$ds$</span> is halved. This has the disadvantage of having lost Newton iterations (which costs time) and imposing small steps (which can be slow as well). To prevent this, the step size is controlled internally with the idea of having a constant number of Newton iterations per point. This is in part controlled by the aggressiveness factor <code>a</code> in <code>ContinuationPar</code>.</p><h3 id="References"><a class="docs-heading-anchor" href="#References">References</a><a id="References-1"></a><a class="docs-heading-anchor-permalink" href="#References" title="Permalink"></a></h3><section class="footnotes is-size-7"><ul><li class="footnote" id="footnote-Meijer"><a class="tag is-link" href="#citeref-Meijer">Meijer</a><blockquote><p>Meijer, Dercole, and Oldeman, “Numerical Bifurcation Analysis.”</p></blockquote></li></ul></section></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../PALC/">« PALC</a><a class="docs-footer-nextpage" href="../ANM/">ANM »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Friday 29 December 2023 20:15">Friday 29 December 2023</span>. Using Julia version 1.10.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/NSContinuationPO/index.html

@@ -18,4 +18,4 @@
 \partial_{u}F_{po} & \partial_pF_{po} & 0 \\
 \partial_u\sigma_r & \partial_p\sigma_r & \partial_\omega\sigma_r\\
 \partial_u\sigma_i & \partial_p\sigma_i & \partial_\omega\sigma_i
-\end{array}\right].\]</p><h2 id="References"><a class="docs-heading-anchor" href="#References">References</a><a id="References-1"></a><a class="docs-heading-anchor-permalink" href="#References" title="Permalink"></a></h2><section class="footnotes is-size-7"><ul><li class="footnote" id="footnote-Govaerts"><a class="tag is-link" href="#citeref-Govaerts">Govaerts</a><blockquote><p>Govaerts, Willy J. F. Numerical Methods for Bifurcations of Dynamical Equilibria. Philadelphia, Pa: Society for Industrial and Applied Mathematics, 2000.</p></blockquote></li></ul></section></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../PDContinuationPO/">« Period-Doubling continuation (2 params)</a><a class="docs-footer-nextpage" href="../simplebp/">Simple branch point »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Saturday 16 December 2023 12:53">Saturday 16 December 2023</span>. Using Julia version 1.9.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+\end{array}\right].\]</p><h2 id="References"><a class="docs-heading-anchor" href="#References">References</a><a id="References-1"></a><a class="docs-heading-anchor-permalink" href="#References" title="Permalink"></a></h2><section class="footnotes is-size-7"><ul><li class="footnote" id="footnote-Govaerts"><a class="tag is-link" href="#citeref-Govaerts">Govaerts</a><blockquote><p>Govaerts, Willy J. F. Numerical Methods for Bifurcations of Dynamical Equilibria. Philadelphia, Pa: Society for Industrial and Applied Mathematics, 2000.</p></blockquote></li></ul></section></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../PDContinuationPO/">« Period-Doubling continuation (2 params)</a><a class="docs-footer-nextpage" href="../simplebp/">Simple branch point »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Friday 29 December 2023 20:14">Friday 29 December 2023</span>. Using Julia version 1.10.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/PDContinuationPO/index.html

@@ -17,4 +17,4 @@
 \end{array}\right).\]</p><p>The jacobian of the PD functional to use for the Newton algorithm</p><p class="math-container">\[\left[\begin{array}{cc}
 \partial_{u}F_{po} &amp; \partial_pF_{po} \\
 \partial_u\sigma &amp; \partial_p\sigma
-\end{array}\right].\]</p><h2 id="References"><a class="docs-heading-anchor" href="#References">References</a><a id="References-1"></a><a class="docs-heading-anchor-permalink" href="#References" title="Permalink"></a></h2><section class="footnotes is-size-7"><ul><li class="footnote" id="footnote-Govaerts"><a class="tag is-link" href="#citeref-Govaerts">Govaerts</a><blockquote><p>Govaerts, Willy J. F. Numerical Methods for Bifurcations of Dynamical Equilibria. Philadelphia, Pa: Society for Industrial and Applied Mathematics, 2000.</p></blockquote></li></ul></section></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../FoldContinuationPO/">« Fold continuation (2 params)</a><a class="docs-footer-nextpage" href="../NSContinuationPO/">Neimark-Sacker continuation (2 params) »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Saturday 16 December 2023 12:53">Saturday 16 December 2023</span>. Using Julia version 1.9.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+\end{array}\right].\]</p><h2 id="References"><a class="docs-heading-anchor" href="#References">References</a><a id="References-1"></a><a class="docs-heading-anchor-permalink" href="#References" title="Permalink"></a></h2><section class="footnotes is-size-7"><ul><li class="footnote" id="footnote-Govaerts"><a class="tag is-link" href="#citeref-Govaerts">Govaerts</a><blockquote><p>Govaerts, Willy J. F. Numerical Methods for Bifurcations of Dynamical Equilibria. Philadelphia, Pa: Society for Industrial and Applied Mathematics, 2000.</p></blockquote></li></ul></section></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../FoldContinuationPO/">« Fold continuation (2 params)</a><a class="docs-footer-nextpage" href="../NSContinuationPO/">Neimark-Sacker continuation (2 params) »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Friday 29 December 2023 20:14">Friday 29 December 2023</span>. Using Julia version 1.10.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/abs-from-codim2-eq/index.html

@@ -24,4 +24,4 @@
 	autodiff = false,
 	Teigvec = getvectortype(br),
 	scaleζ = norm,
-	kwargs...)</code></pre><p>where <code>ind_HH</code> is the index of the HH point in <code>br</code>. Note that the HH has been detected during Hopf continuation. Calling the above method thus switches from Hopf continuation to another Hopf branch automatically with the same parameter axis.</p><blockquote><p>Check the docs of <a href="../codim2Continuation/#Fold-/-Hopf-Continuation">Fold / Hopf Continuation</a> and particularly <a href="../codim2Continuation/#jac-fold">Setting the jacobian</a> for improving the speed of computation for large scale systems.</p></blockquote><p></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../abs-from-hopf/">« From Hopf/PD/Branch to periodic orbits</a><a class="docs-footer-nextpage" href="../abs-from-codim2-po/">From codim 2 to periodic orbits »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Saturday 16 December 2023 12:53">Saturday 16 December 2023</span>. Using Julia version 1.9.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+	kwargs...)</code></pre><p>where <code>ind_HH</code> is the index of the HH point in <code>br</code>. Note that the HH has been detected during Hopf continuation. Calling the above method thus switches from Hopf continuation to another Hopf branch automatically with the same parameter axis.</p><blockquote><p>Check the docs of <a href="../codim2Continuation/#Fold-/-Hopf-Continuation">Fold / Hopf Continuation</a> and particularly <a href="../codim2Continuation/#jac-fold">Setting the jacobian</a> for improving the speed of computation for large scale systems.</p></blockquote><p></p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../abs-from-hopf/">« From Hopf/PD/Branch to periodic orbits</a><a class="docs-footer-nextpage" href="../abs-from-codim2-po/">From codim 2 to periodic orbits »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 0.27.25 on <span class="colophon-date" title="Friday 29 December 2023 20:14">Friday 29 December 2023</span>. Using Julia version 1.10.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>