Cosmological dynamics in six-order gravity

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