, synchronization and seasonality in the theoretical models. In this work, spatial heterogeneity is introduced via coupled map lattices …, synchronization and persistence are studied for some CML. Some applications in population biology and ecology are given. A simple … coefficients is given. This will simplify the study of seasonality. …

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. …