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In recent times, there has been an increasing interest with theories ofmodified gravity as a means to gain a deeper understanding of the universe'slate-time acceleration phase. In this study we focused our attention on aspecific cosmologically viable $f(R)$ model. We performed a dynamic stabilityanalysis of this model, revealing that the model supports presence of just oneasymptotically stable solution which can explain the present-day accelerationof the universe.

Stability analysis for a cosmologically viable model of $f(R)$ gravity