Chaotic synchronization of regular and irregular complex networks with fractional order oscillators

Synchronization of complex networks of identical and nonidentical chaotic systems via model-matching control

“…The MMC for network synchronization presented in this work is competitive with the most popular methodology used in [1–7, 14]. In that case, an error feedback between the signals to be synchronized is used.…”

“…Topology or coupling mesh is the layout or how the nodes of a network are connected, while the configuration is the type of connection that determines the flow of information between nodes. Now, consider the traditional control law for network synchronization [3, 14] where N denotes the size of the network or the number of nodes, c > 0 represents the coupling strength, and is a constant matrix linking the state variables. The matrix is the coupling matrix.…”

“…In chaos synchronization area, MMC has been used in the last years, but only to synchronize pairs of identical and nonidentical chaotic oscillators [11–13]. Chaotic synchronization of regular and irregular complex networks with fractional order oscillators has been presented in [14]. Nevertheless, most of the authors show results in synchronization for only structurally identical complex systems, whereas for synchronization of nonidentical complex systems, the results are only a few.…”

Design of sampled-data controllers for the synchronization of complex dynamical networks under controller attacks

“…By considering the high potential of CDNs, therefore, it is natural that the research on CDNs has become a large research area, and many researchers have discovered the nature of CDNs [1][2][3]. The synchronization is one of the popular applications of CDNs, which makes all states of each node in a CDN follow the same trajectories, and it has been widely studied [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. To solve the synchronization problem for CDNs, various control schemes, such as feedback control [4][5][6], adaptive control [7,8], sliding-mode control [9,10], dynamic control [11,12], event-triggered control [13], impulsive control [14,15], H ∞ control [16], and pinning control [17][18][19][20], have been employed.…”

“…The paper [7] proposed a concept of consecutive synchronization and designed a distributed adaptive controller for consecutive synchronization of CDNs with special topology structures. Synchronization of CDNs with N -coupled fractional-order chaotic system oscillators and regular/irregular topologies was studied in [6], and their results were applied to various fractional-order chaotic systems, Lorenz, Volta, Duffing, and financial chaotic oscillators. [8] dealt with traffic road network as an application of CDNs, in which an adaptive controller and adjustable coupling strength were designed to reduce the impact of uncertainties, and pinning control method was employed as well for the smooth flow of traffic.…”