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In this paper, a new method is presented to analyze the linear stability of the synchronized state in arbitrarily coupled complex dynamical systems with time delays. The coupling configurations are not restricted to the symmetric and irreducible connections or the non-negative off-diagonal...
Persistent link: https://www.econbiz.de/10010873164
The control gain region for synchronization of non-diffusively coupled networks was studied with respect to three … conditions: synchronization, synchronization in finite time, and synchronization in the minimum time. Based on cancellation … synchronized region (TSR) as a substitute for the classical synchronized region to study finite time synchronization. As for the …
Persistent link: https://www.econbiz.de/10010931548
Synchronization is an important dynamical process on complex networks with wide applications. In this paper, we design … a greedy link removal algorithm and find that many links in networks are actually redundant for synchronization, i … synchronization backbone. Simulating the Kuramoto model, we confirm that the network synchronizability is effectively preserved in the …
Persistent link: https://www.econbiz.de/10010753619
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 …
Persistent link: https://www.econbiz.de/10010872204
This work studies the synchronization of a number of mobile agents on a substrate network. Each agent carries a chaotic … from the substrate network. It is found that the synchronization conditions of this agent network depend on the average … the network. Synchronization of the agent network on scale-free and ER networks is considered here, and it is found that …
Persistent link: https://www.econbiz.de/10010872572
compare the synchronization properties of a system of non-linear Kuramoto phase oscillators, when interactions between the … of synchronization is lower for non-constrained lattices. Then, we consider the behavior of the mean frequency of the … function of the degree, we study the role of hubs in the synchronization properties of the system. …
Persistent link: https://www.econbiz.de/10010588480
each interacts with the others following the Kuramoto model. The order parameters that measure synchronization of phases … decrease synchronization. …
Persistent link: https://www.econbiz.de/10010589066
We study the synchronization of coupled phase oscillators in random complex networks. The topology of the networks is … assumed to be vary over time. Here we mainly study the onset of global phase synchronization when the topology switches …
Persistent link: https://www.econbiz.de/10010589333
It has been demonstrated that most complex networks display synchronization phenomena, and this problem has attracted … synchronization criteria were derived for both delay-independent and delay-dependent asymptotical stability. Especially, it has been … shown that synchronization of such dynamical network is determined by the linear matrix inequality consisting of coupling …
Persistent link: https://www.econbiz.de/10010589387
the systems without time delay and with the retarded delay. By some transformation, the synchronization problem of the …-dependent asymptotical synchronization stability criteria are derived in the form of linear matrix inequalities based on the free weighting …
Persistent link: https://www.econbiz.de/10010590124