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="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>
+└─ 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 30 December 2023 06:40">Saturday 30 December 2023</span>. Using Julia version 1.10.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/FoldContinuationPO/index.html

@@ -10,4 +10,4 @@
     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="#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="#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="#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 <code>br</code> is a branch of periodic orbits and the options are as above except with have an additional parameter axis <code>lens2</code> which is used to locate the bifurcation points.</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="../detectionBifurcationPO/">« Bifurcation detection (1 param)</a><a class="docs-footer-nextpage" href="../PDContinuationPO/">Period-Doubling 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>
+</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="#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="#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="#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 <code>br</code> is a branch of periodic orbits and the options are as above except with have an additional parameter axis <code>lens2</code> which is used to locate the bifurcation points.</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="../detectionBifurcationPO/">« Bifurcation detection (1 param)</a><a class="docs-footer-nextpage" href="../PDContinuationPO/">Period-Doubling 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 30 December 2023 06:40">Saturday 30 December 2023</span>. Using Julia version 1.10.0.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>