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Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA


Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania


Hybrid Projective Synchronization in Mixed Fractional-order Complex Networks with Different Structure

Discontinuity, Nonlinearity, and Complexity 4(4) (2015) 457--465 | DOI:10.5890/DNC.2015.11.008

Li-xin Yang; Jun Jiang; Xiao-jun Liu

State Key Laboratory for Strength and Vibration, Xi’an Jiaotong University, Xi’an, 710049, China

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In this paper, a fractional-order drive-response complex network model with different order nodes is proposed for the first time. To achieve the hybrid projective synchronization (HPS) of drive-response complex network with different orders, a general strategy is proposed and effective controllers for hybrid projective synchronization are designed. The fractional operators are introduced into the controller to transform problem into synchronization problem between drive-response complex network with identical orders. Numerical simulation results which are carried show that the method is easy to implement and reliable for synchronizing the driveresponse fractional-order complex networks.


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