Аннотация:We reconsider the dynamical systems approach toanalyze inflationary universe in the Jordan frame models ofscalar field nonminimally coupled to curvature. The adoptedset of variables allows us to clearly distinguish between different asymptotic states in the phase space, including the kinetic and inflationary regimes. Inflation is realized as a heteroclinic trajectory originating either at infinity from a nonhyperbolic asymptotic de Sitter point or from a regular saddle de Sitter point. We also present a comprehensive pictureof possible initial conditions leading to sufficient inflationary expansion and show their extent on the phase diagrams.In addition we comment on the slow roll conditions applicable in the Jordan frame and show how they approximate theleading inflationary “attractor solution”. As particular examples we portrait quadratic and quartic potential models andnote that increasing the nonminimal coupling diminishes therange of good initial conditions in the quadratic case, but enlarges is in the quartic case.