Abstract
The cosmological evolution of modified Chaplygin Gas (MCG) model with the sign-changeable interactions is studied. The key point of the new interaction is the deceleration parameter \(q\equiv-\ddot{a}a/\dot{a}^{2}\) in the interaction term Q. This new feature gives the possibility that interaction Q can change its sign when the universe changes from deceleration (q>0) to acceleration (q −1 or wg 0 as the universe expands, which is different from the usual interaction. The numerical calculation shows that a heteroclinic orbit (solution of dynamical system) can interpolate between MCG matter-dominated phase (an unstable critical point) and MCG vacuum-energy-dominated attractor.
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