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CDSK (Chaotic Dynamical System Kit)

TODO

  • Add references

Features

  • python3 and R version
  • Generation of classic chaotic attractors
  • Generation of Mandelbrot and Julia set
  • Estimation of Local Dimension and persistence

Note

CDSK requires the SDFC package.

License

Copyright Yoann Robin, 2019, CeCILL-C license (open source)

This software is a computer program that is part of the CDSK (Chaotic Dynamical System Kit) library. This library makes it possible to generate classic (continuous and discrete) attractors, generate the Mandelbrot and Julia set, and fit the local dimension.

This software is governed by the CeCILL-C license under French law and abiding by the rules of distribution of free software. You can use, modify and/ or redistribute the software under the terms of the CeCILL-C license as circulated by CEA, CNRS and INRIA at the following URL "http://www.cecill.info".

As a counterpart to the access to the source code and rights to copy, modify and redistribute granted by the license, users are provided only with a limited warranty and the software's author, the holder of the economic rights, and the successive licensors have only limited liability.

In this respect, the user's attention is drawn to the risks associated with loading, using, modifying and/or developing or reproducing the software by the user in light of its specific status of free software, that may mean that it is complicated to manipulate, and that also therefore means that it is reserved for developers and experienced professionals having in-depth computer knowledge. Users are therefore encouraged to load and test the software's suitability as regards their requirements in conditions enabling the security of their systems and/or data to be ensured and, more generally, to use and operate it in the same conditions as regards security.

The fact that you are presently reading this means that you have had knowledge of the CeCILL-C license and that you accept its terms.

Example

Generation of continuous and discrete attractors from Lorenz (1963) and Mira system

Alt

Generation of snapshot attractors from Lorenz (1984) system

Alt

Estimation of location dimension and persistence with Freitas method

Alt

Generation of Mandelbrot and Julia set

Alt

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  • Python 55.3%
  • R 44.5%
  • Shell 0.2%