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Continuing the investigation of the simplest cosmological model with themassive real scalar non-interacting inflaton field minimally coupled to gravitywe study an influence of the cosmological constant on the behaviour oftrajectories in closed minisuperspace Friedmann-Robertson-Walker model. Thetransition from chaotic to regular behaviour for large values of cosmologicalconstant is discussed. Combining numerical calculations with qualitativeanalysis both in configuration and phase space we present a convenientclassification of trajectories.Comment: 12 pages with 2 gif figures and 2 eps figures, mprocl.sty, To appear  in International Journal of Modern Physics

SIMPLEST COSMOLOGICAL MODEL WITH THE SCALAR FIELD II.