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We analyze the dynamical system defined by a universe filled with abarotropic fluid plus a scalar field with modified kinetic term of the form L =F (X) - V (phi). After a suitable choice of variables that allows us to studythe phase space of the system we obtain the critical points and theirstability. We find that they reduce to the ones defined for the canonical casewhen F (X) = X. We also study the field energy conditions to have a nonsingularbounce.

Cosmological phase space analysis of the F (X) - V (phi) scalar field and bouncing solutions