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We investigate the dynamics of the chameleonic Generalised Brans--Dicke modelin flat FRW cosmology. In a new approach, a framework to study stability andattractor solutions in the phase space is developed for the model bysimultaneously best fitting the stability and model parameters with theobservational data. The results show that for an accelerating universe thephantom crossing does not occur in the past and near future.

Stability analysis and Observational Measurement in Chameleonic Generalised Brans--Dicke Cosmology