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We study dynamics of induced gravity cosmological models with sixth degreepotential, that have found using the superpotential method. The importantproperty of these models are existence of exact cosmological solutions thattend to fixed points. The stability of these cosmological solutions have beenobtained. In particular, we find conditions under which solutions with anon-monotonic Hubble parameter that tend to a fixed point are attractors.

Stable Exact Cosmological Solutions in Induced Gravity Models