teaching:methcalchim:numerical_methods_for_ordinary_differential_equations

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teaching:methcalchim:numerical_methods_for_ordinary_differential_equations [2018/11/20 09:42]
villersd [Lorenz system]
teaching:methcalchim:numerical_methods_for_ordinary_differential_equations [2021/08/18 10:38] (Version actuelle)
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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