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We obtain the first evidence of chaotic behaviour in cosmology.
The model under consideration corresponds to the spatially
homogeneous Bianchi-type IX cosmological model within the
Jordan-Brans-Dicke theory of gravitation. The model is cast by
a large set of coupled stiff ordinary differential equations.
For parameter values in agreement
with current cosmological observations we obtain evidence that
the considered model behaves in a chaotic manner. The evidence
is given in terms of the existence of at least one positive Lyapunov
exponent. When varying some of the model parameters we again obtain
strong evidence of chaotic behaviour. This suggests that our
findings may still be qualitatively valid even though the
current observed parameters might not be completely accurate.
This work was entitled with
the award ``Premio a la investigación Cientiífica''
(scientific research award) given by Universidad Autónoma
Metropolitana,
November 1995.
Award announcement (in Spanish):
http://www.uam.mx/organo-uam/documentos/V-II/ii19-02.html.
Ricardo Carretero
2002-08-02