We consider cosmological dynamics in fourth order gravity with both $f(R)$ and $\Phi(\mathcal { G})$ correction to the Einstein gravity ($\mathcal{ G}$ is the Gauss-Bonnet term). The particular case for which both terms are equally important on power-law solutions is described. These solutions and their stability are studied using the dynamical system approach. We also discuss condition of existence and stability of de Sitter solution in a more general situation of power-law $f$ and $\Phi$.
Categories: gr-qc