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