abstract = "This work presents an investigation into the use of
genetic programming (GP) applied to chaotic systems
modelling. A difference equation model representation
was proposed for being the basis of the hierarchical
tree encoding in GP. Based upon the NARMA difference
equation model and formulating the identification as a
multiobjective optimisation problem, Chua's circuit was
studied. The formulation of the GP fitness function,
defined as a multiobjective function, generated a set
of nondominated chaotic models. This approach
considered criteria related to the complexity,
performance and also statistical validation of the
models in the fitness evaluation. The final set of
non-dominated model solutions were able to capture the
dynamic characteristics of the system and reproduce the
chaotic motion of the double scroll attractor",
notes = "CEC-99 - A joint meeting of the IEEE, Evolutionary
Programming Society, Galesia, and the IEE.