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Search Results: 1 - 10 of 230720 matches for " Claudio R. Mirasso "
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Lyapunov Potential Description for Laser Dynamics
Catalina Mayol,Raul Toral,Claudio R. Mirasso
Physics , 1999, DOI: 10.1103/PhysRevA.59.4690
Abstract: We describe the dynamical behavior of both class A and class B lasers in terms of a Lyapunov potential. For class A lasers we use the potential to analyze both deterministic and stochastic dynamics. In the stochastic case it is found that the phase of the electric field drifts with time in the steady state. For class B lasers, the potential obtained is valid in the absence of noise. In this case, a general expression relating the period of the relaxation oscillations to the potential is found. We have included in this expression the terms corresponding to the gain saturation and the mean value of the spontaneously emitted power, which were not considered previously. The validity of this expression is also discussed and a semi-empirical relation giving the period of the relaxation oscillations far from the stationary state is proposed and checked against numerical simulations.
Phase-shifts in stochastic resonance in a Chua circuit
Wojciech Korneta,Iacyel Gomes,Claudio R. Mirasso,Raul Toral
Physics , 2007,
Abstract: We present an experimental study of stochastic resonance in an electronic Chua circuit operating in the chaotic regime. We study in detail the switch-phase distribution and the phase-shift between sinusoidal forcing for two responses of the circuit: one depending on both inter-well and intra-well dynamics and the other depending only on inter-well dynamics. We describe the two relevant de-synchronizatrion mechanisms for high and low frequencies of the forcing and present a method to detect the optimal noise intensity from switch phases which coincides with the one derived from the observation of the signal-to-noise ratio or residence times.
Predict-prevent control method for perturbed excitable systems
Marzena Ciszak,Claudio R. Mirasso,Raul Toral,Oscar Calvo
Physics , 2008, DOI: 10.1103/PhysRevE.79.046203
Abstract: We present a control method based on two steps: prediction and prevention. For prediction we use the anticipated synchronization scheme, considering unidirectional coupling between excitable systems in a master-slave configuration. The master is the perturbed system to be controlled, meanwhile the slave is an auxiliary system which is used to predict the master's behavior. We demonstrate theoretically and experimentally that an efficient control may be achieved.
Suppression of deterministic and stochastic extreme desynchronization events using anticipated synchronization
Jordi Zamora-Munt,Claudio R. Mirasso,Raul Toral
Physics , 2013, DOI: 10.1103/PhysRevE.89.012921
Abstract: We numerically show that extreme events induced by parameter mismatches or noise in coupled oscillatory systems can be anticipated and suppressed before they actually occur. We show this in a main system unidirectionally coupled to an auxiliary system subject to a negative delayed feedback. Each system consists of two electronic oscillators coupled in a master-slave configuration. Extreme events are observed in this coupled system as large and sporadic desynchronization events. Under certain conditions, the auxiliary system can predict the dynamics of the main system. We use this to efficiently suppress the extreme events by applying a direct corrective reset to the main system.
Anticipating the dynamics of chaotic maps
Emilio Hernandez-Garcia,Cristina Masoller,Claudio R. Mirasso
Physics , 2001, DOI: 10.1016/S0375-9601(02)00147-0
Abstract: We study the regime of anticipated synchronization in unidirectionally coupled chaotic maps such that the slave map has its own output reinjected after a certain delay. For a class of simple maps, we give analytic conditions for the stability of the synchronized solution, and present results of numerical simulations of coupled 1D Bernoulli-like maps and 2D Baker maps, that agree well with the analytic predictions.
Anticipated synchronization in coupled complex Ginzburg-Landau systems
Marzena Ciszak,Catalina Mayol,Claudio R. Mirasso,Raul Toral
Physics , 2014, DOI: 10.1103/PhysRevE.92.032911
Abstract: We study anticipated synchronization in two complex Ginzburg-Landau systems coupled in a master-slave configuration. Master and slave systems are ruled by the same autonomous function, but the slave system receives the injection from the master and is subject to a negative delayed self-feedback loop. We give evidence that the magnitude of the largest anticipation time depends on the dynamical regime where the system operates (defect turbulence, phase turbulence or bichaos) and scales with the linear autocorrelation time of the system. Moreover, we find that the largest anticipation times are obtained for complex-valued coupling constants. We provide analytical conditions for the stability of the anticipated synchronization manifold that are in qualitative agreement with those obtained numerically. Finally, we report on the existence of anticipated synchronization in coupled two-dimensional complex Ginzburg-Landau systems.
Diversity-induced resonance
Claudio J. Tessone,Claudio R. Mirasso,Raul Toral,James D. Gunton
Physics , 2006, DOI: 10.1103/PhysRevLett.97.194101
Abstract: We present conclusive evidence showing that different sources of diversity, such as those represented by quenched disorder or noise, can induce a resonant collective behavior in an ensemble of coupled bistable or excitable systems. Our analytical and numerical results show that when such systems are subjected to an external subthreshold signal, their response is optimized for an intermediate value of the diversity. These findings show that intrinsic diversity might have a constructive role and suggest that natural systems might profit from their diversity in order to optimize the response to an external stimulus.
Theta Band Zero-Lag Long-Range Cortical Synchronization via Hippocampal Dynamical Relaying
Leonardo L. Gollo,Claudio R. Mirasso,Mercedes Atienza,Maite Crespo-Garcia,Jose L. Cantero
PLOS ONE , 2012, DOI: 10.1371/journal.pone.0017756
Abstract: Growing evidence suggests that synchronization among distributed neuronal networks underlie functional integration in the brain. Neural synchronization is typically revealed by a consistent phase delay between neural responses generated in two separated sources. But the influence of a third neuronal assembly in that synchrony pattern remains largely unexplored. We investigate here the potential role of the hippocampus in determining cortico-cortical theta synchronization in different behavioral states during motor quiescent and while animals actively explore the environment. To achieve this goal, the two states were modeled with a recurrent network involving the hippocampus, as a relay element, and two distant neocortical sites. We found that cortico-cortical neural coupling accompanied higher hippocampal theta oscillations in both behavioral states, although the highest level of synchronization between cortical regions emerged during motor exploration. Local field potentials recorded from the same brain regions qualitatively confirm these findings in the two behavioral states. These results suggest that zero-lag long-range cortico-cortical synchronization is likely mediated by hippocampal theta oscillations in lower mammals as a function of cognitive demands and motor acts.
Anticipated Synchronization in a Biologically Plausible Model of Neuronal Motifs
Fernanda S. Matias,Pedro V. Carelli,Claudio R. Mirasso,Mauro Copelli
Physics , 2011, DOI: 10.1103/PhysRevE.84.021922
Abstract: Two identical autonomous dynamical systems coupled in a master-slave configuration can exhibit anticipated synchronization (AS) if the slave also receives a delayed negative self-feedback. Recently, AS was shown to occur in systems of simplified neuron models, requiring the coupling of the neuronal membrane potential with its delayed value. However, this coupling has no obvious biological correlate. Here we propose a canonical neuronal microcircuit with standard chemical synapses, where the delayed inhibition is provided by an interneuron. In this biologically plausible scenario, a smooth transition from delayed synchronization (DS) to AS typically occurs when the inhibitory synaptic conductance is increased. The phenomenon is shown to be robust when model parameters are varied within physiological range. Since the DS-AS transition amounts to an inversion in the timing of the pre- and post-synaptic spikes, our results could have a bearing on spike-timing-dependent-plasticity models.
Anticipating the response of excitable systems driven by random forcing
M. Ciszak,O. Calvo,C. Masoller,Claudio R. Mirasso,Raul Toral
Physics , 2002, DOI: 10.1103/PhysRevLett.90.204102
Abstract: We study the regime of anticipated synchronization in unidirectionally coupled model neurons subject to a common external aperiodic forcing that makes their behavior unpredictable. We show numerically and by implementation in analog hardware electronic circuits that, under appropriate coupling conditions, the pulses fired by the slave neuron anticipate (i.e. predict) the pulses fired by the master neuron. This anticipated synchronization occurs even when the common external forcing is white noise.
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