Abstract
The nonlinear resonance of KAM tori in the phase space of Inflationary Cosmologies with a massive scalar field is examined with a potential term derived from quantum cosmology. For certain domains of the parameter space (the scalar field mass and the conserved Hamiltonian) nonlinear resonance phenomena may induce the destruction of KAM tori. This leads to a rapid growth of the scale factor and the scalar field, with a consequent escape into inflation. A semi-analytical approach to these phenomena is made and possible consequences to structure formation discussed.
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