When Darwin meets Lorenz: Evolving new chaotic attractors through genetic programming
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- @Article{Pan:2015:CSF,
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author = "Indranil Pan and Saptarshi Das",
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title = "When Darwin meets Lorenz: Evolving new chaotic
attractors through genetic programming",
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journal = "Chaos, Solitons and Fractals",
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year = "2015",
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volume = "76",
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pages = "141--155",
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month = jul,
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keywords = "genetic algorithms, genetic programming",
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ISSN = "0960-0779",
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DOI = "doi:10.1016/j.chaos.2015.03.017",
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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.",
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notes = "see also http://arxiv.org/abs/1409.7842
\cite{journals/corr/PanD14a}",
- }
Genetic Programming entries for
Indranil Pan
Saptarshi Das
Citations