Abstract
We consider the cosmological dynamics in a generalized modified theory of gravity with an R□R term added to the action of the form R + R N. The influence of the R□R term on the known solutions of modified gravity is described. We show that in the particular case of N = 3 the two non-Einsteinian terms are equally important in power-law solutions. These solutions and their stability have been studied using the dynamical system approach. Some results for the case of N ≠ 3 (including stability of the de Sitter solution in the theory under investigation) have been obtained using other methods.
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