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  • Synchronization
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  • 1
    Book
    Book
    Springer Berlin Heidelberg, Berlin, Heidelberg
    Language: English
    Description: Intro -- Consensus and Synchronization in Complex Networks -- Preface -- Contents -- Consensus Theory in Networked Systems -- Control of Networks of Coupled Dynamical Systems -- Distributed Consensus and Coordination Control of Networked Multi-agent Systems -- Consensus of Networked Multi-agent Systems...
    Keywords: Physics -- Complex Networks; Physics -- Simulation and Modeling; Physics -- Computational Intelligence; Physics -- Control; Physics -- Complexity
    ISBN: 978-3-642-33358-3
    Source: Springer Science & Business Media B.V.
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  • 2
    Language: English
    In: Physica A: Statistical Mechanics and its Applications, 01 November 2011, Vol.390(23-24), pp.4610-4620
    Description: A new family of networks, called , has recently been proposed in the literature. These networks have optimal properties in terms of synchronization, robustness against errors and attacks, and efficient communication. They are built with an algorithm which uses modified simulated annealing to enhance a well-known measure of networks’ ability to reach synchronization among nodes. In this work, we suggest that a class of networks similar to entangled networks can be produced by changing some of the connections in a given network, or by just adding a few connections. We call this class of networks . Although entangled networks can be considered as a subset of weak-entangled networks, we show that both classes share similar properties, especially with respect to synchronization and robustness, and that they have similar structural properties. ► We present rewiring procedure that produces networks with weak-entangled structure. ► We examine the structural properties, synchronization and robustness of the networks. ► We show that they share similar properties as entangled networks. ► Our procedure improves the synchronizability and robustness of a given network. ► The procedure exploits only the homogenization of the nodes’ degree.
    Keywords: Complex Networks ; Entangled Networks ; Synchronization ; Vulnerability ; Physics
    ISSN: 0378-4371
    E-ISSN: 1873-2119
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  • 3
    Language: English
    In: IEEE Transactions on Circuits and Systems I: Regular Papers, February 2014, Vol.61(2), pp.522-529
    Description: We study synchronization and consensus phenomena in state-dependent graphs in which the edges are weighted according to the Hebbian learning rule or its modified version. By exploring the master stability function of the synchronous state, we show that the modified Hebbian function as coupling strength enlarges the stability region of the synchronous state. In terms of consensus, given that the state-dependent weights are always positive, we prove that consensus in a network of multi-agent systems is always reachable. Furthermore, we show that in state-dependent graphs the second smallest eigenvalue of the graph Laplacian matrix has larger values due to the state-dependency, resulting in speed up of the convergence process.
    Keywords: Couplings ; Synchronization ; Oscillators ; Neurons ; Stability Analysis ; Eigenvalues and Eigenfunctions ; Laplace Equations ; Adaptive Coupling ; Consensus ; Hebbian Learning Rule ; Master-Stability Function ; State-Dependent Graphs ; Synchronization ; Engineering
    ISSN: 1549-8328
    E-ISSN: 1558-0806
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  • 4
    Language: English
    In: IEEE Transactions on Circuits and Systems I: Regular Papers, March 2014, Vol.61(3), pp.811-819
    Description: The incipience of synchrony in a diverse population of phase oscillators with non-identical interactions is an intriguing phenomenon. We study frequency synchronization of such oscillators composing networks with arbitrary topology in the context of the Kuramoto model and we show that its synchronization manifold is exponentially stable when the coupling has certain properties. Several example systems with periodic linear, cubic and sinusoidal coupling functions were examined, some including frustration and external fields. The numerical results confirmed the analytic findings and revealed some other interesting occurrences, like phase clustering in a synchronized network of strongly coupled oscillators. We also analyze the effects of the topology by considering random weighted networks.
    Keywords: Couplings ; Oscillators ; Synchronization ; Frequency Synchronization ; Mathematical Model ; Standards ; Sociology ; Complex Networks ; Nonlinear Systems ; Stability Analysis ; Engineering
    ISSN: 1549-8328
    E-ISSN: 1558-0806
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  • 5
    Language: English
    In: 2013 21st Telecommunications Forum Telfor (TELFOR), November 2013, pp.172-175
    Description: We study the process of synchronization that takes place on multiplex networks, i.e., on a set of networks linked through interconnected layers. As a measure for synchronization we use the eigenratio between the largest and the smallest eigenvalue of the Laplacian matrix of the multiplex graph. Using this measure we analyze how the synchronization depends on the weight of the interconnection links in a given multiplex network. Furthermore, the main results of this work show that even though a network has a bigger eigenratio than other networks, when it is multiplexed with other networks its synchronization rate can be slowed. The results from this work can be easily applied in modeling and analyzing the process of opinion formation in social networks and synchronization in Smart Grid.
    Keywords: Synchronization ; Multiplexing ; Network Topology ; Topology ; Oscillators ; Eigenvalues and Eigenfunctions ; Stability Analysis ; Complex Networks ; Multiplex Networks ; Msf ; Synchronization
    Source: IEEE Conference Publications
    Source: IEEE Xplore
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  • 6
    Language: English
    In: Physics Letters A, 2007, Vol.371(5), pp.416-420
    Description: If a real system and its perfect model (with identical parameters) can be made to synchronize identically, then for an imperfect model of a real system with some unknown parameters, one can design a parameter estimation law, so that all parameters of the real system can be estimated from the model. While the information needed to implement the law is not available in all cases, sufficient information is generally available for a PDE system that possesses translational symmetry if some of the relevant state variables are known at the discrete set of points (or for the finite set of Fourier components) that are coupled to the model. Parameter estimation is illustrated for a geophysical fluid dynamics model.
    Keywords: Synchronization ; Optimization ; Parameter Estimation ; Data Assimilation ; Geophysical Fluid Dynamics ; Physics
    ISSN: 0375-9601
    E-ISSN: 1873-2429
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  • 7
    Language: English
    In: International Journal of Bifurcation and Chaos, August 2008, Vol.18(8), pp.2415-2423
    Description: Synchronization of chaotic systems with unknown parameters, or namely auto-synchronization, has aroused a lot of interest in the past few years. In this paper, we are interested in solving one of the critical cases in Lorenz system. Based on the past researches, it was concluded that the auto-synchronization of Lorenz system was inachievable if the unknown parameters resided in all of its three dynamical equations while only the first state was measurable. However, as demonstrated in this paper, this problem can be resolved by an adaptive observer following simple design rules. The design is justified with the conditional Lyapunov exponents, and its effectiveness is clearly illustrated in simulations.
    Keywords: Adaptive Observer ; Auto-Synchronization ; Lorenz System ; Engineering ; Sciences (General)
    ISSN: 0218-1274
    E-ISSN: 1793-6551
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  • 8
    Language: English
    In: Cognitive Processing, 2009, Vol.10(Supplement 1), pp.41-53
    Description: This paper is to investigate the use of adaptive observers for the modeling of biological neurons and networks. Assuming that a neuron can be modeled as a continuous-time nonlinear system, it is possible to determine its unknown parameters using adaptive observer, based on the concept of adaptive synchronization. The same technique can be extended for the identification of an entire biological neural network. Some conventional observer designs are studied in this paper and satisfactory results are obtained, yet with some restrictions. To further extend the applicability of adaptive observers for the modeling process, a new design is suggested. It is based on a combination of linear feedback control approach and the dynamical minimization algorithm. The effectiveness of the designed adaptive observer is confirmed with simulations.
    Keywords: Adaptive observers ; Estimation ; Identification ; Models of neurons
    ISSN: 1612-4782
    E-ISSN: 1612-4790
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  • 9
    Language: English
    In: IEEE Transactions on Circuits and Systems-II-Express Briefs, Dec, 2008, Vol.55(12), p.1274(5)
    Description: Synchronization is deemed to play an important role in information processing in many neuronal systems. In this work, using a well known technique due to Pecora and Carroll, we investigate the existence of a synchronous state and the bifurcation diagram of a network of synaptically coupled neurons described by the Hindmarsh-Rose model. Through the analysis of the bifurcation diagram, the different dynamics of the possible synchronous states are evidenced. Furthermore, the influence of the topology on the synchronization properties of the network is shown through an example. Index Terms--Bifurcation, biological systems, networks, nonlinear oscillators, synchronization.
    Keywords: Neurons -- Properties ; Bifurcation Theory -- Research ; Biological Systems -- Research
    ISSN: 1549-7747
    E-ISSN: 15583791
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  • 10
    In: IEEE Transactions on Circuits and Systems-I: Fundamental Theory..., Oct, 1997, Vol.44(10), p.1014(5)
    Description: We give the relationship between symbolic dynamics and chaos synchronization. If the capacity of the channel which one- directionally connects two chaotic systems with the aim of synchronizing them is larger than Kolmogorov-Sinai entropy of the driving system, then the synchronization error can be made arbitrarily small. Index Terms - Chaos, channel capacity, symbolic dynamics, synchronization.
    Keywords: Chaotic Systems -- Analysis
    ISSN: 1057-7122
    E-ISSN: 15581268
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