Qualitative stability analysis of cosmological parameters in f(T, B) gravity

Abstract We analyze the cosmological solutions of f ( T , B ) gravity using dynamical system analysis where is torsion scalar and be boundary term scalar. In our work, we assume three specific models. For first model, consider $$ f(T,B)=f_{0}(B^{k}+T^{m})$$ f ( T , B ) = 0 k + m k m are constants. second $$f(T,B)=f_{0}T B$$ for third $$f(T,B)=\alpha T^{2}$$ α 2 . generate an autonomous differential equations each models by introducing new dimensionless variables. To solve this equations, use analysis. also investigate critical points their natures, stability conditions behaviors Universe expansion. models, get two stable points, while model one point. The phase plots analyzed in detail study geometrical interpretations also. these evaluated density parameters such as $$\Omega _{r}$$ Ω r _{m}$$ _{\Lambda }$$ Λ $$\omega _{eff}$$ ω eff deceleration parameter q find suitable range $$\lambda λ stability. _{eff}=-0.833,-0.166$$ - 0.833 0.166 _{eff}=-\frac{1}{3}$$ 1 3 This shows that both quintessence phase. accelerated expansion Universe. Further, compare values EoS with observational values.