Synchronization of two coupled Hindmarsh-Rose neurons

Pinning lag synchronization between two dynamical networks with non-derivative and derivative couplings

“…We rearrange the node degrees from high to low and choose four nodes with the highest degree as the pinned nodes. The errors of lag synchronization of networks (6) are shown in Figures 4 -6. In addition, for the coupling strength in 13.315 < c < 20, the lag synchronization also happens with different synchronized time.…”

“…Many real systems in nature can be described by complex dynamical networks, including internet, World Wide Web, electrical power grids, social networks and so forth [1,2,9,17,10]. Presently synchronization of dynamical networks has been widely studied [6,7,21,24,29,30]. Generally speaking, synchronization appearing inside a network is referred as inner synchronization.…”

Adaptive finite-time generalized outer synchronization between two different dimensional chaotic systems with noise perturbation

“…A focused problem in chaos synchronization is how to design a appropriate controller to synchronize chaotic systems. Due to different applications, a wide variety of approaches and controllers have been proposed, including feedback control [20,21], adaptive control [2,9,19,25,42], sliding mode control [1,10,29,37], the distributed impulsive control [16,17] and sampled-data control [18].…”

“…For example, using the linear feedback control and nonlinear feedback control, the chaotic Hindmarsh-Rose Neurons have been studied and some synchronization criteria were derived in [20] and [21]. Associated with the distributed impulsive control, the quasi-synchronization of heterogeneous dynamic networks and the problem of networkbased leader-following consensus of non-linear multi-agent systems were investigated DOI: 10.14736/kyb-2017- in [17] and [16].…”

Mixed Synchronization of Chaotic Financial Systems by Using Linear Feedback Control

“…In order to control chaotic financial systems, synchronization of two chaotic financial systems has been studied. The classical synchronization of two chaotic systems refers to the variables of one system which achieve the consensus with the counterparts of the other system [2][3][4][5][6][7][8][9][10][11][12]. Besides the classical synchronization of two chaotic systems, antisynchronization can also be generated by two chaotic systems, which means the variables of one system achieve the consensus with the negative values of counterparts of the other system [13][14][15].…”