Abstract: Thermal chaos under temporally/spatially periodic perturbations in the extended phase space of Bardeen-Anti de Sitter black holes surrounded by quintessence dark energy is investigated． Occurring condition of chaos is obtained with Melnikov integral． Spatial chaos is always supposed to occur even for a tiny spatially periodic perturbation imposed on equilibrium configuration． However, temporal chaos will arise in unstable spinodal region only if the given perturbed amplitude \gamma is larger than a critical value \gamma _\rmc ． The value of \gamma _\rmc is determined by magnetic monopole charge \beta , initial temperature T_0 , quintessence state parameter \omega , and quintessence normalization parameter a ． In particular, combining effects of \omega and parameter a together, we find that the function of quintessence dark energy is similar to an enhancing/damped mechanism．