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We study the phase space analysis of a nonminimally coupled scalar fieldmodel with different potentials such as KKLT, Higgs, inverse and inversesquare. Our investigation brings new asymptotic regimes, and obtains stablede-Sitter solution. In case of KKLT, we do not find stable de-Sitter solutionwhereas Higgs model satisfies the de-Sitter condition but does not provide astable de-Sitter solution in usual sense as one of the eigenvalue is zero. Weobtain time derivative of Hubble constant $\dot{H}=0$, equation of state$w_{\phi}\simeq -1$, scalar field $\phi=$constant and the positive effectivegravitational 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 themodels of inverse and inverse square potentials$-$ a true stable de-Sittersolution is trivially satisfied.

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