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teaching:methcalchim:numerical_methods_for_ordinary_differential_equations [2018/11/20 09:42] – [Lorenz system] villersd | teaching:methcalchim:numerical_methods_for_ordinary_differential_equations [2021/08/18 10:38] – villersd |
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* [[http://www.gribblelab.org/compneuro2012/2_Modelling_Dynamical_Systems.html#orgheadline5]] | * [[http://www.gribblelab.org/compneuro2012/2_Modelling_Dynamical_Systems.html#orgheadline5]] |
* [[https://titanlab.org/2010/04/08/lorenz-attractor/]] | * [[https://titanlab.org/2010/04/08/lorenz-attractor/]] |
* [[http://ms08035.blogspot.be/2012/04/program-to-simulate-lorenz-system-in.html]] | * [[http://jakevdp.github.io/blog/2013/02/16/animating-the-lorentz-system-in-3d/]] (2012, Jake Vanderplas) |
* [[http://jakevdp.github.io/blog/2013/02/16/animating-the-lorentz-system-in-3d/]] | |
* with Ipython notebook | * with Ipython notebook |
* [[http://nbviewer.ipython.org/github/pjpmarques/Modelling-the-World/blob/master/Lorenz%20Attractor.ipynb]], | * [[http://nbviewer.ipython.org/github/pjpmarques/Modelling-the-World/blob/master/Lorenz%20Attractor.ipynb]], |
* [[http://nbviewer.ipython.org/gist/dpsanders/d417c1ffbb76f13f678c]], including a tutorial on ODEs | * [[http://nbviewer.ipython.org/gist/dpsanders/d417c1ffbb76f13f678c]], including a tutorial on ODEs |
* [[https://ipywidgets.readthedocs.io/en/stable/examples/Lorenz%20Differential%20Equations.html]], in the Jupyter Widgets documentation | * [[https://ipywidgets.readthedocs.io/en/stable/examples/Lorenz%20Differential%20Equations.html]], in the Jupyter Widgets documentation (2016...) |
| * [[https://github.com/jupyter-widgets/ipywidgets/blob/master/docs/source/examples/Lorenz%20Differential%20Equations.ipynb]] |
| * [[https://github.com/jupyterlab/jupyterlab-demo/blob/master/notebooks/Lorenz.ipynb]] |
* On active state | * On active state |
* [[http://code.activestate.com/recipes/577816-synchronized-chaos-using-lorenz-attractor|Synchronized Chaos using Lorenz Attractor]] | * [[http://code.activestate.com/recipes/577816-synchronized-chaos-using-lorenz-attractor|Synchronized Chaos using Lorenz Attractor]] |
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===== Références ===== | ===== References ===== |
* Numerical recipes, The Art of Scientific Computing 3rd Edition, William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery, 2007, isbn: 9780521880688 | * Numerical recipes, The Art of Scientific Computing 3rd Edition, William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery, 2007, isbn: 9780521880688 |
* [[http://numerical.recipes/]] | * [[http://numerical.recipes/]] |
* [[http://www2.units.it/ipl/students_area/imm2/files/Numerical_Recipes.pdf]], p 707... | * [[http://www2.units.it/ipl/students_area/imm2/files/Numerical_Recipes.pdf]], p 707... |
* [[http://apps.nrbook.com/empanel/index.html#]] | * [[http://apps.nrbook.com/empanel/index.html#]] |
| * predator–prey models : |
| * see seminal and recent references here : [[https://www.pnas.org/content/118/4/e2017463118.abstract?etoc|Evolutionarily stable strategies in stable and periodically fluctuating populations: The Rosenzweig–MacArthur predator–prey model]] Katrin Grunert, Helge Holden, Espen R. Jakobsen, Nils Chr. Stenseth, Proceedings of the National Academy of Sciences Jan 2021, 118 (4) e2017463118; DOI: 10.1073/pnas.2017463118 |
| * [[https://www.sympy.org/scipy-2017-codegen-tutorial/|Automatic Code Generation with SymPy]] → applications to ODE and chemical kinetics |
| * [[http://jakevdp.github.io/blog/2017/03/08/triple-pendulum-chaos/|Triple Pendulum CHAOS! - Pythonic Perambulations]] |
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