Synchronization is a phenomenon observed in all of the living and in much of the non-living world, for example in the … circumstances, synchronization generically occurs in the presence of a (small) time delay. Strikingly, the synchronization time is …

synchronization occur. The adaptive coupling modulated by STDP can largely depress the temporal coherence and spatial synchrony … needed to maximize the networked synchronization, and more connections are introduced to achieve coherence resonance … synchronization is always enhanced as more shortcuts are added into the network. …

In this letter the synchronization of complex dynamical networks with fractional order chaotic nodes is studied. A … fractional order controller for synchronization of complex network is presented. Some new sufficient synchronization criteria are … proposed based on the Lyapunov stability theory and the LaSalle invariance principle. These synchronization criteria can apply …

In this paper, the adaptive synchronization and lag synchronization are considered for uncertain dynamical system with … method. With this new and effective method, parameter identification and lag synchronization can be achieved simultaneously …

We apply the theory of incremental input-to-state stability to the problem of synchronization in a complex dynamical … synchronization using only partial state/output information in the sense that it does not require all nodes to have access to the … state/output information from the seed node that produces the reference orbit for network synchronization. Examples and …

then investigate their synchronization phenomena and criteria. Based on these new complex network models, we derive … synchronization conditions for both delay-independent and delay-dependent asymptotical stabilities in terms of linear matrix …

Based on the dynamics towards synchronization in hierarchical networks, we present an efficient method for extracting … hierarchical organization in complex network. In the synchronization process, hierarchical structures corresponding to well defined … dissimilarity between a pair of nodes in networks is introduced according to their time scales of synchronization. Then, using such …

synchronization theorems are established. Numerical examples show the efficiency of the derived theorems. …

This paper addresses the theoretical analysis of synchronization between two complex networks with nonidentical … topological structures. By designing effective adaptive controllers, we achieve synchronization between two complex networks. Both … synchronization are given. Illustrative examples are presented to demonstrate the application of the theoretical results. …