Aiming at the problem of slow convergence speed, bad robustness, reference multi populations parallel mechanism and random search strategy. A novel synergy search Differential Evolution based on Stochastic Diffusion Search(SDS-DE), which aims to accelerate convergence and improve accuracy of SDS-DE, the algorithm introduces the initialization mechanism of opposition chaos search, and stochastic diffusion search strategy is used to divided populations into successful and failed two sub-groups, and differential strategies of the success and failures sub-groups are used to overcome the shortcomin...