When Darwin meets Lorenz: Evolving new chaotic attractors through genetic programming

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  author =       "Indranil Pan and Saptarshi Das",
  title =        "When Darwin meets Lorenz: Evolving new chaotic
                 attractors through genetic programming",
  journal =      "Chaos, Solitons and Fractals",
  year =         "2015",
  volume =       "76",
  pages =        "141--155",
  month =        jul,
  keywords =     "genetic algorithms, genetic programming",
  ISSN =         "0960-0779",
  DOI =          "doi:10.1016/j.chaos.2015.03.017",
  abstract =     "In this paper, we propose a novel methodology for
                 automatically finding new chaotic attractors through a
                 computational intelligence technique known as
                 multi-gene genetic programming (MGGP). We apply this
                 technique to the case of the Lorenz attractor and
                 evolve several new chaotic attractors based on the
                 basic Lorenz template. The MGGP algorithm automatically
                 finds new nonlinear expressions for the different state
                 variables starting from the original Lorenz system. The
                 Lyapunov exponents of each of the attractors are
                 calculated numerically based on the time series of the
                 state variables using time delay embedding techniques.
                 The MGGP algorithm tries to search the functional space
                 of the attractors by aiming to maximise the largest
                 Lyapunov exponent (LLE) of the evolved attractors. To
                 demonstrate the potential of the proposed methodology,
                 we report over one hundred new chaotic attractor
                 structures along with their parameters, which are
                 evolved from just the Lorenz system alone.",
  notes =        "see also http://arxiv.org/abs/1409.7842

Genetic Programming entries for Indranil Pan Saptarshi Das