The phase-space view of non-local gravity cosmology

We consider non-local Integral Kernel Theories of Gravity in a homogeneous and isotropic universe background as possible scenario to drive the cosmic history. In particular, we investigate cosmological properties gravitational action containing inverse d'Alembert operator Ricci scalar proposed improve Einstein's gravity at both high low-energy regimes. dynamics physically motivated exponential coupling is analyzed detail by recasting equations an autonomous system first-order differential with dimensionless variables. Consequently, study phase-space domain its critical points, investigating their stability main properties. saddle points late-time attractors are discussed terms free parameters model. Finally, discuss physical consequences our approach view dark energy behavior ?CDM