build based on 3912546

dev/BifProblem/index.html

@@ -11,4 +11,4 @@
 		1 + x[1]^2,
 		2 + x[2]^2
 	]
-end</code></pre><p>The structure <a href="../library/#DDEBifurcationKit.SDDDEBifProblem"><code>SDDDEBifProblem</code></a> encapsulates the bifurcation problem.</p><blockquote><p>A more elaborate problem would be to allow <span>$\tau_i$</span> to depend on the history of <span>$x(\theta+t)$</span> for <span>$\theta\in[-\tau_{max},0]$</span> and not just on the current value of <span>$x(t)$</span>. This is not implemented yet.</p></blockquote></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../tutorials/tutorials/">« Tutorials</a><a class="docs-footer-nextpage" href="../periodicOrbit/">Introduction »</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="Monday 25 September 2023 10:00">Monday 25 September 2023</span>. Using Julia version 1.9.3.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+end</code></pre><p>The structure <a href="../library/#DDEBifurcationKit.SDDDEBifProblem"><code>SDDDEBifProblem</code></a> encapsulates the bifurcation problem.</p><blockquote><p>A more elaborate problem would be to allow <span>$\tau_i$</span> to depend on the history of <span>$x(\theta+t)$</span> for <span>$\theta\in[-\tau_{max},0]$</span> and not just on the current value of <span>$x(t)$</span>. This is not implemented yet.</p></blockquote></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../tutorials/tutorials/">« Tutorials</a><a class="docs-footer-nextpage" href="../periodicOrbit/">Introduction »</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="Monday 25 September 2023 10:02">Monday 25 September 2023</span>. Using Julia version 1.8.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/codim2Continuation/index.html

@@ -13,4 +13,4 @@
     detect_codim2_bifurcation,
     kwargs...
 )
-</code></pre><p>Codimension 2 continuation of Fold / Hopf points. This function turns an initial guess for a Fold / Hopf point into a curve of Fold / Hopf points based on a Minimally Augmented formulation. The arguments are as follows</p><ul><li><code>br</code> results returned after a call to <a href="@ref Library-Continuation">continuation</a></li><li><code>ind_bif</code> bifurcation index in <code>br</code></li><li><code>lens2</code> second parameter used for the continuation, the first one is the one used to compute <code>br</code>, e.g. <code>getlens(br)</code></li><li><code>options_cont = br.contparams</code> arguments to be passed to the regular <a href="@ref Library-Continuation">continuation</a></li></ul><p><strong>Optional arguments:</strong></p><ul><li><code>bdlinsolver</code> bordered linear solver for the constraint equation</li><li><code>update_minaug_every_step</code> update vectors <code>a, b</code> in Minimally Formulation every <code>update_minaug_every_step</code> steps</li><li><code>start_with_eigen = false</code> whether to start the Minimally Augmented problem with information from eigen elements</li><li><code>detect_codim2_bifurcation ∈ {0,1,2}</code> whether to detect Bogdanov-Takens, Bautin and Cusp. If equals <code>1</code> non precise detection is used. If equals <code>2</code>, a bisection method is used to locate the bifurcations.</li><li><code>kwargs</code> keywords arguments to be passed to the regular <a href="@ref Library-Continuation">continuation</a></li></ul><p>where the parameters are as above except that you have to pass the branch <code>br</code> from the result of a call to <code>continuation</code> with detection of bifurcations enabled and <code>index</code> is the index of Hopf point in <code>br</code> you want to refine.</p><div class="admonition is-success"><header class="admonition-header">ODE problems</header><div class="admonition-body"><p>For ODE problems, it is more efficient to use the Matrix based Bordered Linear Solver passing the option <code>bdlinsolver = MatrixBLS()</code></p></div></div><div class="admonition is-success"><header class="admonition-header">start_with_eigen</header><div class="admonition-body"><p>It is recommended that you use the option <code>start_with_eigen = true</code></p></div></div></div></section></article><p>where the options are as above except with have an additional parameter axis <code>lens2</code> which is used to locate the bifurcation points.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../detectionBifurcation/">« Bifurcation detection (codim 1)</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="Monday 25 September 2023 10:00">Monday 25 September 2023</span>. Using Julia version 1.9.3.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+</code></pre><p>Codimension 2 continuation of Fold / Hopf points. This function turns an initial guess for a Fold / Hopf point into a curve of Fold / Hopf points based on a Minimally Augmented formulation. The arguments are as follows</p><ul><li><code>br</code> results returned after a call to <a href="@ref Library-Continuation">continuation</a></li><li><code>ind_bif</code> bifurcation index in <code>br</code></li><li><code>lens2</code> second parameter used for the continuation, the first one is the one used to compute <code>br</code>, e.g. <code>getlens(br)</code></li><li><code>options_cont = br.contparams</code> arguments to be passed to the regular <a href="@ref Library-Continuation">continuation</a></li></ul><p><strong>Optional arguments:</strong></p><ul><li><code>bdlinsolver</code> bordered linear solver for the constraint equation</li><li><code>update_minaug_every_step</code> update vectors <code>a, b</code> in Minimally Formulation every <code>update_minaug_every_step</code> steps</li><li><code>start_with_eigen = false</code> whether to start the Minimally Augmented problem with information from eigen elements</li><li><code>detect_codim2_bifurcation ∈ {0,1,2}</code> whether to detect Bogdanov-Takens, Bautin and Cusp. If equals <code>1</code> non precise detection is used. If equals <code>2</code>, a bisection method is used to locate the bifurcations.</li><li><code>kwargs</code> keywords arguments to be passed to the regular <a href="@ref Library-Continuation">continuation</a></li></ul><p>where the parameters are as above except that you have to pass the branch <code>br</code> from the result of a call to <code>continuation</code> with detection of bifurcations enabled and <code>index</code> is the index of Hopf point in <code>br</code> you want to refine.</p><div class="admonition is-success"><header class="admonition-header">ODE problems</header><div class="admonition-body"><p>For ODE problems, it is more efficient to use the Matrix based Bordered Linear Solver passing the option <code>bdlinsolver = MatrixBLS()</code></p></div></div><div class="admonition is-success"><header class="admonition-header">start_with_eigen</header><div class="admonition-body"><p>It is recommended that you use the option <code>start_with_eigen = true</code></p></div></div></div></section></article><p>where the options are as above except with have an additional parameter axis <code>lens2</code> which is used to locate the bifurcation points.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../detectionBifurcation/">« Bifurcation detection (codim 1)</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="Monday 25 September 2023 10:02">Monday 25 September 2023</span>. Using Julia version 1.8.5.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>