1,721,023 research outputs found
Synchronization in random networks with given expected degree sequences
Full text linkSynchronization in random networks with given expected degree sequences is studied. We also investigate in details the synchronization in networks whose topology is described by classical random graphs, power-law random graphs and hybrid graphs when N goes to infinity. In particular, we show that random graphs almost surely synchronize. We also show that adding small number of global edges to a local graph makes the corresponding hybrid graph to synchronize
Periodic dynamics in queuing networks
No full textThis paper deals with state-dependent open Markovian (or exponential) queuing networks, for which arrival and service rates, as well as routing probabilities, may depend on the queue lengths. For a network of this kind, following Mandelbaum and Pats, we provide a formal definition of its associated fluid model, and we focus on the relationships which may occur between the network stochastic dynamics and the deterministic dynamics of its corresponding fluid model, particularly focusing on queuing networks whose fluid models have global periodic attractors
Robust synchronization of chaotic systems
No full textThe question of robustness of synchronization with respect to small arbitrary perturbations of the underlying dynamical systems is addressed. We present examples of chaos synchronization demonstrating that normal hyperbolicity is a necessary and sufficient condition for the synchronization manifold to be smooth and persistent under small perturbations. The same examples, however, show that in real applications normal hyperbolicity is not sufficient to give quantitative hounds for deformations of the synchronization manifold, i.e., even in the case of normal hyperbolicity two almost identical systems may cause large synchronization errors
On the Limit of Large Couplings and Weighted Averaged Dynamics
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Synchronization of Kuramoto-Sivashinsky equations using spatially local coupling
No full textThe synchronization properties of a pair of Kuramoto-Sivashinsky equations are examined using only a finite number of coupling signals that are given in terms of local spatial averages. The dependence of the synchronization on the number of coupling signals and the width of the spatial average intervals is examined, including spatiotemporal intermittency of the synchronization error near the onset of synchronization
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