Complex projective synchronization in drive-response stochastic coupled networks with complex-variable systems and coupling time delays

•The complex projective synchronization is investigated for drive-response stochastic complex networks with varying delays.•The pinning control scheme is adopted to achieve complex projective synchronization in a general drive-response network.•The adaptive feedback algorithms are proposed to adjust the control strength.

In this paper, the complex projective synchronization in drive-response stochastic coupled networks with complex-variable systems and linear coupling time delays are considered. The pinning control scheme are adopted to achieve complex projective synchronization and several simple and practical sufficient conditions are obtained in a general drive-response network. In addition, the adaptive feedback algorithms are proposed to adjust the control strength. Several numerical simulations are provided to show the effectiveness and feasibility of the proposed methods.