Dynamics of nonminimally coupled scalar field models with generic potentials in FLRW background

We study the phase space analysis of a nonminimally coupled scalar field model with generic potentials such as KKLT, Higgs, inverse and square. Our investigation brings new asymptotic regimes, obtains stable de-Sitter solution. In case we do not find solution whereas Higgs satisfies condition but does provide in usual sense one eigenvalue is zero. obtain time derivative Hubble constant $${\dot{H}}=0$$ , equation state $$w_{\phi }\simeq -1$$ $$\phi =$$ positive effective gravitational ( $$G_{eff}>0$$ ), which are missed our earlier work. Therefore, $$F(\phi )R$$ coupling )= 1-\xi \phi ^2 $$ models square potentials? true trivially satisfied.