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update notebooks
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gboeing committed Jul 5, 2018
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17 changes: 12 additions & 5 deletions examples/pynamical-demo-3d-animation.ipynb
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"source": [
"# Pynamical: animated 3D phase diagrams of the logistic map\n",
"\n",
"Author: Geoff Boeing\n",
"**Citation info**: Boeing, G. 2016. \"[Visual Analysis of Nonlinear Dynamical Systems: Chaos, Fractals, Self-Similarity and the Limits of Prediction](http://geoffboeing.com/publications/nonlinear-chaos-fractals-prediction/).\" *Systems*, 4 (4), 37. doi:10.3390/systems4040037.\n",
"\n",
"Pynamical documentation: http://pynamical.readthedocs.org\n",
"\n",
"This notebook demonstrates how to make animated GIFs that pan and zoom around 3-D phase diagrams to visualize fractal data sets, strange attractors, and chaos."
]
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]
},
{
"cell_type": "code",
"execution_count": null,
"cell_type": "markdown",
"metadata": {},
"outputs": [],
"source": []
"source": [
"## For more info:\n",
" - [Read the journal article](http://geoffboeing.com/publications/nonlinear-chaos-fractals-prediction/)\n",
" - [Pynamical documentation](http://pynamical.readthedocs.org)\n",
" - [Chaos Theory and the Logistic Map](http://geoffboeing.com/2015/03/chaos-theory-logistic-map/)\n",
" - [Visualizing Chaos and Randomness with Phase Diagrams](http://geoffboeing.com/2015/04/visualizing-chaos-and-randomness/)\n",
" - [Animated 3D Plots in Python](http://geoffboeing.com/2015/04/animated-3d-plots-python/)"
]
}
],
"metadata": {
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17 changes: 12 additions & 5 deletions examples/pynamical-demo-cobweb-plots.ipynb
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"source": [
"# Pynamical: cobweb plots of the logistic map\n",
"\n",
"Author: Geoff Boeing"
"**Citation info**: Boeing, G. 2016. \"[Visual Analysis of Nonlinear Dynamical Systems: Chaos, Fractals, Self-Similarity and the Limits of Prediction](http://geoffboeing.com/publications/nonlinear-chaos-fractals-prediction/).\" *Systems*, 4 (4), 37. doi:10.3390/systems4040037.\n",
"\n",
"Pynamical documentation: http://pynamical.readthedocs.org"
]
},
{
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]
},
{
"cell_type": "code",
"execution_count": null,
"cell_type": "markdown",
"metadata": {},
"outputs": [],
"source": []
"source": [
"## For more info:\n",
" - [Read the journal article](http://geoffboeing.com/publications/nonlinear-chaos-fractals-prediction/)\n",
" - [Pynamical documentation](http://pynamical.readthedocs.org)\n",
" - [Chaos Theory and the Logistic Map](http://geoffboeing.com/2015/03/chaos-theory-logistic-map/)\n",
" - [Visualizing Chaos and Randomness with Phase Diagrams](http://geoffboeing.com/2015/04/visualizing-chaos-and-randomness/)\n",
" - [Animated 3D Plots in Python](http://geoffboeing.com/2015/04/animated-3d-plots-python/)"
]
}
],
"metadata": {
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17 changes: 12 additions & 5 deletions examples/pynamical-demo-logistic-model.ipynb
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"source": [
"# Pynamical: demo of the logistic map and bifurcation diagrams\n",
"\n",
"Author: Geoff Boeing\n",
"**Citation info**: Boeing, G. 2016. \"[Visual Analysis of Nonlinear Dynamical Systems: Chaos, Fractals, Self-Similarity and the Limits of Prediction](http://geoffboeing.com/publications/nonlinear-chaos-fractals-prediction/).\" *Systems*, 4 (4), 37. doi:10.3390/systems4040037.\n",
"\n",
"Pynamical documentation: http://pynamical.readthedocs.org\n",
"\n",
"This notebook implements a logistic map and plots its results, bifurcation diagrams, and phase diagrams"
]
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]
},
{
"cell_type": "code",
"execution_count": null,
"cell_type": "markdown",
"metadata": {},
"outputs": [],
"source": []
"source": [
"## For more info:\n",
" - [Read the journal article](http://geoffboeing.com/publications/nonlinear-chaos-fractals-prediction/)\n",
" - [Pynamical documentation](http://pynamical.readthedocs.org)\n",
" - [Chaos Theory and the Logistic Map](http://geoffboeing.com/2015/03/chaos-theory-logistic-map/)\n",
" - [Visualizing Chaos and Randomness with Phase Diagrams](http://geoffboeing.com/2015/04/visualizing-chaos-and-randomness/)\n",
" - [Animated 3D Plots in Python](http://geoffboeing.com/2015/04/animated-3d-plots-python/)"
]
}
],
"metadata": {
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19 changes: 13 additions & 6 deletions examples/pynamical-demo-other-models.ipynb
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"source": [
"# Pynamical: demo of the Cubic Map, Singer Map, and Mandelbrot Map\n",
"\n",
"Author: Geoff Boeing\n",
"**Citation info**: Boeing, G. 2016. \"[Visual Analysis of Nonlinear Dynamical Systems: Chaos, Fractals, Self-Similarity and the Limits of Prediction](http://geoffboeing.com/publications/nonlinear-chaos-fractals-prediction/).\" *Systems*, 4 (4), 37. doi:10.3390/systems4040037.\n",
"\n",
"Pynamical can be used to simulate, visualize, and explore any discrete dynamical system. This notebook demonstrates how to do this with two additional models that come included in the Pynamical module (the *Cubic Map* and the *Singer Map*) as well as with one additional model defined in this notebook (the *Mandelbrot Map*). Any other models can be created and easily plugged-in, as demonstrated below."
"Pynamical documentation: http://pynamical.readthedocs.org\n",
"\n",
"Pynamical can simulate, visualize, and explore any discrete dynamical system. This notebook demonstrates how to do this with two additional models that come included in the Pynamical module (the *Cubic Map* and the *Singer Map*) as well as with one additional model defined in this notebook (the *Mandelbrot Map*). Any other models can be created and easily plugged-in, as demonstrated below."
]
},
{
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]
},
{
"cell_type": "code",
"execution_count": null,
"cell_type": "markdown",
"metadata": {},
"outputs": [],
"source": []
"source": [
"## For more info:\n",
" - [Read the journal article](http://geoffboeing.com/publications/nonlinear-chaos-fractals-prediction/)\n",
" - [Pynamical documentation](http://pynamical.readthedocs.org)\n",
" - [Chaos Theory and the Logistic Map](http://geoffboeing.com/2015/03/chaos-theory-logistic-map/)\n",
" - [Visualizing Chaos and Randomness with Phase Diagrams](http://geoffboeing.com/2015/04/visualizing-chaos-and-randomness/)\n",
" - [Animated 3D Plots in Python](http://geoffboeing.com/2015/04/animated-3d-plots-python/)"
]
}
],
"metadata": {
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17 changes: 12 additions & 5 deletions examples/pynamical-demo-phase-diagrams.ipynb
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"source": [
"# Pynamical: phase diagrams of the logistic map\n",
"\n",
"Author: Geoff Boeing\n",
"**Citation info**: Boeing, G. 2016. \"[Visual Analysis of Nonlinear Dynamical Systems: Chaos, Fractals, Self-Similarity and the Limits of Prediction](http://geoffboeing.com/publications/nonlinear-chaos-fractals-prediction/).\" *Systems*, 4 (4), 37. doi:10.3390/systems4040037.\n",
"\n",
"Pynamical documentation: http://pynamical.readthedocs.org\n",
"\n",
"This notebook demonstrates several ways to create phase diagrams to visualize system attractors and differentiate random noise from chaos. Phase diagrams embed 1-dimensional data (like time series) from a dynamical system into 2- or 3-dimensional phase space by plotting the value at time t vs the value at time t+1 (vs the value at time t+2, if it's a 3-D plot)."
]
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]
},
{
"cell_type": "code",
"execution_count": null,
"cell_type": "markdown",
"metadata": {},
"outputs": [],
"source": []
"source": [
"## For more info:\n",
" - [Read the journal article](http://geoffboeing.com/publications/nonlinear-chaos-fractals-prediction/)\n",
" - [Pynamical documentation](http://pynamical.readthedocs.org)\n",
" - [Chaos Theory and the Logistic Map](http://geoffboeing.com/2015/03/chaos-theory-logistic-map/)\n",
" - [Visualizing Chaos and Randomness with Phase Diagrams](http://geoffboeing.com/2015/04/visualizing-chaos-and-randomness/)\n",
" - [Animated 3D Plots in Python](http://geoffboeing.com/2015/04/animated-3d-plots-python/)"
]
}
],
"metadata": {
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16 changes: 15 additions & 1 deletion examples/pynamical-quick-overview.ipynb
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"source": [
"# Pynamical: quick overview\n",
"\n",
"Author: Geoff Boeing\n",
"**Citation info**: Boeing, G. 2016. \"[Visual Analysis of Nonlinear Dynamical Systems: Chaos, Fractals, Self-Similarity and the Limits of Prediction](http://geoffboeing.com/publications/nonlinear-chaos-fractals-prediction/).\" *Systems*, 4 (4), 37. doi:10.3390/systems4040037.\n",
"\n",
"Pynamical documentation: http://pynamical.readthedocs.org\n",
"\n",
"This notebook provides a quick overview of using pynamical."
]
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"source": [
"IPdisplay.Image(url='images/animated-logistic-cobweb.gif')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## For more info:\n",
" - [Read the journal article](http://geoffboeing.com/publications/nonlinear-chaos-fractals-prediction/)\n",
" - [Pynamical documentation](http://pynamical.readthedocs.org)\n",
" - [Chaos Theory and the Logistic Map](http://geoffboeing.com/2015/03/chaos-theory-logistic-map/)\n",
" - [Visualizing Chaos and Randomness with Phase Diagrams](http://geoffboeing.com/2015/04/visualizing-chaos-and-randomness/)\n",
" - [Animated 3D Plots in Python](http://geoffboeing.com/2015/04/animated-3d-plots-python/)"
]
}
],
"metadata": {
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