  We study effects of non-abelian gauge fields on the holographic
characteristics for instance the evolution of computational complexity. To do
so we choose Maxwell-power-Yang-Mills theory defined in the AdS space-time.
Then we seek the impact of charge of the YM field on the complexity growth rate
by using $complexity=action$ (CA) conjecture. We also investigate the spreading
of perturbations near the horizon and the complexity growth rate in local shock
wave geometry in presence of the YM charge. At last we check validity regime of
Lloyd bound.
