| Les deux révisions précédentes Révision précédente Prochaine révision | Révision précédente |
| teaching:methcalchim:numerical_methods_for_ordinary_differential_equations [2016/12/06 09:54] – villersd | teaching:methcalchim:numerical_methods_for_ordinary_differential_equations [2022/08/25 07:45] (Version actuelle) – [References] 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 (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]] |
| | * [[https://medium.com/geekculture/runge-kutta-numerical-integration-of-ordinary-differential-equations-in-python-9c8ab7fb279c|Runge-Kutta Numerical Integration of Ordinary Differential Equations in Python]] Andrew Joseph Davies, Medium, 23/01/2022 |
| | * chaos : [[https://medium.com/starts-with-a-bang/to-understand-chaos-theory-play-a-game-of-plinko-68aa9dde05ba]] |
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