Chaos in classical cosmology

Physics

Scientific paper

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Scientific paper

We study the dynamics of a Friedmann-Robertson-Walker universe conformally coupled to a real, self-interacting, massive scalar field. We apply a full set of tools corresponding to dynamical system theory: fixed points, linear stability analysis, resonances study and numerical evaluation of Poincaré sections of the dynamical flux. We can conclude that the chaotic behaviour is possible in the very early universe. In the case of a spatially closed universe we show that the route to chaos is reached by successive breaking of the resonant tori due to the action of 1∶1 resonances.

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