TY - JOUR A2 - Torres, Delfim F. M. AU - Ouannas, Adel AU - Wang, Xiong AU - Pham, Viet-Thanh AU - Ziar, Toufik PY - 2017 DA - 2017/06/28 TI - Dynamic Analysis of Complex Synchronization Schemes between Integer Order and Fractional Order Chaotic Systems with Different Dimensions SP - 4948392 VL - 2017 AB - We present new approaches to synchronize different dimensional master and slave systems described by integer order and fractional order differential equations. Based on fractional order Lyapunov approach and integer order Lyapunov stability method, effective control schemes to rigorously study the coexistence of some synchronization types between integer order and fractional order chaotic systems with different dimensions are introduced. Numerical examples are used to validate the theoretical results and to verify the effectiveness of the proposed schemes. SN - 1076-2787 UR - https://doi.org/10.1155/2017/4948392 DO - 10.1155/2017/4948392 JF - Complexity PB - Hindawi KW - ER -