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The stability of two different bounce scenarios from F(R,G) modified gravityat later times is studied, namely a hyperbolic cosine bounce model and amatter-dominated one. After describing the main characteristics of F(R,G)modified gravity, the two different bounce scenarios stemming from this theoryare reconstructed and their stability at late stages is discussed. Thestability of the hyperbolic cosine model is proven, while the concretematter-bounce model here chosen does not seem to accomplish the necessaryconditions to be stable at later times.

Stability of Hyperbolic and Matter-Dominated Bounce Cosmologies From F(R,G) Modified Gravity at Late Evolution Stages