Update Sphinx documentation, commit 2816f23 [skip ci].

notebooks/Batch mode overview.html

@@ -1385,7 +1385,7 @@ <h2>Ensemble propagations<a class="headerlink" href="#ensemble-propagations" tit
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-<img alt="../_images/988acc182a5ab1759fa7f65c4634258da7e7a61bded98103a59ddda3f3b77d94.png" src="../_images/988acc182a5ab1759fa7f65c4634258da7e7a61bded98103a59ddda3f3b77d94.png" />
+<img alt="../_images/f2e48d327d5a848ae8d67ab1b5dd3cd3a0d6e121217d067f4e3515b3bd9b3d48.png" src="../_images/f2e48d327d5a848ae8d67ab1b5dd3cd3a0d6e121217d067f4e3515b3bd9b3d48.png" />
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notebooks/Customising the adaptive integrator.html

@@ -637,8 +637,8 @@ <h2>Compact mode<a class="headerlink" href="#compact-mode" title="Link to this h
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 6.23 s, sys: 63.5 ms, total: 6.3 s
-Wall time: 6.76 s
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 6.59 s, sys: 20 ms, total: 6.61 s
+Wall time: 7.24 s
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@@ -653,8 +653,8 @@ <h2>Compact mode<a class="headerlink" href="#compact-mode" title="Link to this h
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 206 ms, sys: 58 µs, total: 206 ms
-Wall time: 205 ms
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 214 ms, sys: 3.25 ms, total: 218 ms
+Wall time: 217 ms
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notebooks/NeuralHamiltonianODEs.html

@@ -637,10 +637,10 @@ <h1>Neural Hamiltonian ODEs<a class="headerlink" href="#neural-hamiltonian-odes"
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-<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[&lt;matplotlib.lines.Line2D at 0x7f8f9b6a74f0&gt;]
+<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[&lt;matplotlib.lines.Line2D at 0x7f366615f940&gt;]
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-<img alt="../_images/cb7e5c5e4eeb9ee05036221e7444a0ef536ec553e456eb0714daec160f75364a.png" src="../_images/cb7e5c5e4eeb9ee05036221e7444a0ef536ec553e456eb0714daec160f75364a.png" />
+<img alt="../_images/6fc01fcd9e3b8af1ad6ff8a476755f55d949fd09c5994d93f6566167e6e2c855.png" src="../_images/6fc01fcd9e3b8af1ad6ff8a476755f55d949fd09c5994d93f6566167e6e2c855.png" />
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 <p>Clearly, the power and interest of this technique, applied to Hamiltonian systems, lies in the possibility to define some good training for the FFNN weights and biases so that the final system converges to something useful</p>

notebooks/NeuralODEs.html

@@ -695,7 +695,7 @@ <h3>Taylor Integrator<a class="headerlink" href="#taylor-integrator" title="Link
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>--- 0.6321372985839844 seconds --- to build (jit) the Taylor integrator
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>--- 0.49286794662475586 seconds --- to build (jit) the Taylor integrator
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@@ -736,7 +736,7 @@ <h3>Taylor Integrator<a class="headerlink" href="#taylor-integrator" title="Link
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>--- 0.0003364086151123047 seconds --- to propagate using the Taylor scheme
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>--- 0.00020313262939453125 seconds --- to propagate using the Taylor scheme
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@@ -755,7 +755,7 @@ <h3>Taylor Integrator<a class="headerlink" href="#taylor-integrator" title="Link
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-<img alt="../_images/c043112a94a2cfafbb0dab525f980fa366de957069200bfd4d2403f444b8f267.png" src="../_images/c043112a94a2cfafbb0dab525f980fa366de957069200bfd4d2403f444b8f267.png" />
+<img alt="../_images/8c441e107ceb50326396d4ed205221308210df7b9dafb36c7460602bb8513d61.png" src="../_images/8c441e107ceb50326396d4ed205221308210df7b9dafb36c7460602bb8513d61.png" />
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@@ -794,7 +794,7 @@ <h3>Scipy Counterpart<a class="headerlink" href="#scipy-counterpart" title="Link
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>--- 0.001981973648071289 seconds --- to propagate
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>--- 0.0018856525421142578 seconds --- to propagate
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@@ -809,7 +809,7 @@ <h3>Scipy Counterpart<a class="headerlink" href="#scipy-counterpart" title="Link
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-<img alt="../_images/03c4fc9beb0a818f5b8d397db301195a3604c4845a0f0120db39f87248fe9db6.png" src="../_images/03c4fc9beb0a818f5b8d397db301195a3604c4845a0f0120db39f87248fe9db6.png" />
+<img alt="../_images/cb111449b8ae1bc9acbda78b3292de81bb1ade6555c3f3ae2f9cb78ac2665e00.png" src="../_images/cb111449b8ae1bc9acbda78b3292de81bb1ade6555c3f3ae2f9cb78ac2665e00.png" />
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 <p>We see a net advantage in timings using the Taylor integration scheme. Note we are here not using batch propagation, which would add an additional 2-4 factor speedup in performances.</p>

notebooks/Optimal Control of the Lotka-Volterra equations.html

@@ -1099,9 +1099,9 @@ <h2>Implementing a single shooting method<a class="headerlink" href="#implementi
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-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_11317/2413872175.py:11: DeprecationWarning: Conversion of an array with ndim &gt; 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
+<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_11190/2413872175.py:11: DeprecationWarning: Conversion of an array with ndim &gt; 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
   ta.pars[6] = np.heaviside(switching_function(x_0,y_0,lx_0,ly_0, ps), 1.)
-/tmp/ipykernel_11317/2413872175.py:14: DeprecationWarning: Conversion of an array with ndim &gt; 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
+/tmp/ipykernel_11190/2413872175.py:14: DeprecationWarning: Conversion of an array with ndim &gt; 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
   ta.state[0] = x_0; ta.state[1] = y_0; ta.state[2] = lx_0; ta.state[3] = ly_0
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@@ -1143,7 +1143,7 @@ <h2>Implementing a single shooting method<a class="headerlink" href="#implementi
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-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_11317/3578120629.py:12: DeprecationWarning: Conversion of an array with ndim &gt; 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
+<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_11190/3578120629.py:12: DeprecationWarning: Conversion of an array with ndim &gt; 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
   ta.pars[6] = np.heaviside(switching_function(x_0,y_0,lx_0,ly_0, ps), 1.)
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notebooks/Periodic orbits in the CR3BP.html

@@ -736,7 +736,7 @@ <h2>Putting all together and integrating some initial conditions<a class="header
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>--- 14.341849088668823 seconds --- to build the Taylor integrator
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>--- 15.24766993522644 seconds --- to build the Taylor integrator
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@@ -767,7 +767,7 @@ <h2>Putting all together and integrating some initial conditions<a class="header
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>--- 0.14029192924499512 seconds --- to propagate
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>--- 0.04840517044067383 seconds --- to propagate
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@@ -825,7 +825,7 @@ <h2>Putting all together and integrating some initial conditions<a class="header
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-<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;matplotlib.collections.PathCollection at 0x7f92a40e7940&gt;
+<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;matplotlib.collections.PathCollection at 0x7fca00173fd0&gt;
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 <img alt="../_images/de0d9b784e67d433c81e1c6d68b5b937452559993089914853f0e1f45dbc1669.png" src="../_images/de0d9b784e67d433c81e1c6d68b5b937452559993089914853f0e1f45dbc1669.png" />

notebooks/ensemble_mode.html

@@ -637,11 +637,11 @@ <h2>A simple example<a class="headerlink" href="#a-simple-example" title="Link t
  Taylor order            : 20
  Dimension               : 2
  Time                    : 20
- State                   : [0.04257993831205169, 0.0636538288632753],
+ State                   : [0.04500839494261312, 0.06655022208688081],
  &lt;taylor_outcome.time_limit: -4294967299&gt;,
- 0.20496733788483049,
- 0.2182970212075632,
- 95,
+ 0.20290166508430252,
+ 0.21812024443985356,
+ 96,
  None,
  None)
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@@ -693,7 +693,7 @@ <h2>A simple example<a class="headerlink" href="#a-simple-example" title="Link t
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-<img alt="../_images/69133c52a1e86a55b9dd38e2efa0d8a1228571be18dd4c5786d9e7568faaf3fa.png" src="../_images/69133c52a1e86a55b9dd38e2efa0d8a1228571be18dd4c5786d9e7568faaf3fa.png" />
+<img alt="../_images/7f01c310262bcdd9edea43a973573e46063d9d37bb85a2849c08830ce8a558ba.png" src="../_images/7f01c310262bcdd9edea43a973573e46063d9d37bb85a2849c08830ce8a558ba.png" />
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