With the ulterior motivation in mind to investigate the contribution of quantum processes on the dynamics of the expansion of the universe, we investigate dissipative cosmological solutions which preserve the isotropy and the homogeneity. For performing such an investigation, we derive a method which enables us to describe a 2D dynamical system by a Hamiltonian formulation. As formal example, an admissible form for the bulk (viscous) pressure is derived. [References: 19]
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