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ABSTRACT: In this work, we experimentally investigate the robustness to noise of synchronization in all the four-nodes network motifs. The experimental setup consists of four Chua's circuits diffusively coupled in order to implement the six different undirected network motifs that can be obtained with four nodes. In this experimental setup, synchronization in the presence of noise injected in one of the network nodes is investigated and network motifs are compared in terms of the synchronization error obtained. The analysis has been then extended to some selected case studies of networks with five and six nodes. Numerical simulations have been also performed and results in agreement with experiments have been obtained. A correlation between node degree and robustness to noise has been found also in these networks.
Chaos (Woodbury, N.Y.) 12/2012; 22(4):043106. · 1.80 Impact Factor
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ABSTRACT: Memristors are gaining increasing attention as next generation electronic devices. They are also becoming commonly used as fundamental blocks for building chaotic circuits, although often arbitrary (typically piece-wise linear or cubic) flux-charge characteristics are assumed. In this paper, a chaotic circuit based on the mathematical realistic model of the HP memristor is introduced. The circuit makes use of two HP memristors in antiparallel. Numerical results showing some of the chaotic attractors generated by this circuit and the behavior with respect to changes in its component values are described.
Chaos (Woodbury, N.Y.) 06/2012; 22(2):023136. · 1.80 Impact Factor
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ABSTRACT: In this paper, pinning control in a system of moving agents (each one as-sociated with a chaotic dynamical system) was investigated. In particu-lar, we studied and compared two different strategies for pinning con-trol and discussed the nontrivial relation between synchronization and chaotic agent control. Our results show how system parameters such as agent density are critical in order to reach synchronous agent behavior as well as to reach global control of the system by pinning a reduced set of agents.
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ABSTRACT: In this paper, the relation between synchronization and control of chaotic nodes connected through a time–varying network is discussed. In particular, the ef-fects of pinning control on a set of moving chaotic agents are investigated showing that the role of system parameters, like agent density, is critical in order to reach the synchronous behavior and also to control the whole network by pinning a reduced set of agents.
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I. J. Bifurcation and Chaos. 01/2011; 21:569-574.
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IEEE Trans. on Circuits and Systems. 01/2011; 58-I:1888-1896.
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ABSTRACT: In this paper, chaos is applied to the control of moving robots in order to generate random-like trajectories needed in tasks such as exploration, scanning natural terrains or mapping of unknown environments. Synchronization between the robots of a team is achieved by exploiting the paradigm of mirror neurons, i.e. a neural structure playing a key role in the process of imitation and behaviour understanding. The experimental results discussed in the paper demonstrate that the introduced approach can be successfully applied to implement an efficient learning system for mobile robots.
Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering Sciences 05/2010; 368(1918):2179-87. · 2.77 Impact Factor
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I. J. Bifurcation and Chaos. 01/2010; 20:765-773.
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Complexity in Engineering, COMPENG 2010, Rome, Italy, February 22-24, 2010; 01/2010
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ABSTRACT: In this Chapter we study synchronization issues in a system of mobile agents. Agents move as random walkers and interact with
neighbouring units. Each agent carries a chaotic oscillator and coupling between oscillators occurs only when agents interact.
Consequently, the interaction matrix is time-varying and appropriate synchronization criteria have to be defined.
10/2009: pages 3-25;
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I. J. Bifurcation and Chaos. 01/2009; 19:2557-2561.
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I. J. Bifurcation and Chaos. 01/2009; 19:3103-3107.
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I. J. Bifurcation and Chaos. 01/2009; 19:2609-2617.
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ABSTRACT: In this paper using a negative feedback scheme we study the problem of synchronizing two systems (each of them made of n independent chaotic circuits) through the transmission of a unique signal (i.e. a scalar variable). To find the appropriate values of the feedback gains, an approach based on the design of an asymptotic observer leading to a set of linear matrix inequalities is used for piecewise linear systems, while for systems with continuous nonlinearities a master stability function approach is adopted. Numerical results showing the suitability of the approach are reported. Furthermore, the experiment showing separation and synchronization of two pairs of chaotic circuits is discussed. Despite the presence of parameter mismatches, separation and synchronization of the two systems can be achieved. This is an experimental demonstration of the successful possibility of multiplexing two (or more) chaotic signals in the same channel.
Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering Sciences 03/2008; 366(1865):569-77. · 2.77 Impact Factor
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ABSTRACT: We consider a set of mobile agents in a two dimensional space, each one of them carrying a chaotic oscillator, and discuss the related synchronization issues under the framework of time-variant networks. In particular, we show that, as far as the time scale for the motion of the agents is much shorter than that of the associated dynamical systems, the global behavior can be characterized by a scaled all-to-all Laplacian matrix, and the synchronization conditions depend on the agent density on the plane.
Physical Review Letters 03/2008; 100(4):044102. · 7.37 Impact Factor
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I. J. Bifurcation and Chaos. 01/2008; 18:51-81.
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ABSTRACT: We study the effect of motion on disease spreading in a system of random walkers which additionally perform long-distance jumps. A small percentage of jumps in the agent motion is sufficient to destroy the local correlations and to produce a large drop in the epidemic threshold, well explained in terms of a mean-field approximation. This effect is similar to the crossover found in static small-world networks, and can be furthermore linked to the structural properties of the dynamical network of agent interactions. Comment: 4 pages, 4 figures
07/2007;
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ABSTRACT: In this paper synchronization of multiplexed chaotic systems with smooth nonlinearities is studied. The strategy to establish if such synchronization is achievable is based on the master stability function approach and on the optimization of the coupling parameters. With this approach we are able to show that systems formed by three independent canonical chaotic circuits (i.e., a Lorenz system, a Rössler oscillator, and a Chua's circuit) can be synchronized through a unique scalar signal.
Physical Review E 02/2007; 75(1 Pt 2):016215. · 2.26 Impact Factor
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I. J. Bifurcation and Chaos. 01/2007; 17:3577-3581.
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I. J. Bifurcation and Chaos. 01/2007; 17:2411-2417.
