Dynamical features of a quintom dark energy model with Galileon corrections

In this work, we propose a new dark energy cosmological model, by considering a new quintom scenario which is based on the superposition between a quintessence scalar field and a noncanonical scalar field, both nonminimally coupled with cubic self-interaction terms. Considering that the two scalar fields of the quintom construction are nonminimally coupled in an independent manner with cubic self-interactions terms in the corresponding action, we have analyzed the dynamical features of the present model in the phase-space. By performing a dynamical system analysis in the case of exponential potentials, we have analyzed the structure of the phase-space, obtaining different possible constraints for the parameters of the model which correspond to distinct evolution scenarios.