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We consider Brans Dicke scalar vector tensor gravity to study an inflationaryscenario of the accelerating expansion of the universe for which the anisotropyproperty occurs. We study both primordial inflation and late inflationaryperiod of the universe. To do so we, use Bianchi I line element where spatialpart has cylindrical symmetry along $x$ direction in the local Cartesiancoordinates. To seek stabilization of our obtained metric solution, we applydynamical system approach to obtain critical manifolds in phase space anddetermine which of them confirms the inflation with stable nature in presenceof the anisotropy property of spacetime. We solve dynamical equations fordifferent directions of the timelike dynamical vector field. We obtain severalcritical manifolds whose nature of stable (sink) or quasi stable (saddle) aredependent on the direction of the used vector field. At last, we should pointthat observational constraint on the Brans Dicke parameter $\omega>40000$ whichsatisfied by the well known Brans Dicke scalar tensor gravity is not valid forour modified scalar vector Brans Dicke gravity because of presence of timelikedynamical vector field.

Bianchi I cosmology and scalar vector tensor Brans Dicke gravity