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Chaotic signals have been proposed as broadband information carriers with the potential of providing a high level of robustness and privacy in data transmission. Laboratory demonstrations of chaos-based optical communications have already shown the potential of this technology, but a field experiment using commercial optical networks has not been undertaken(More)
Reservoir computing is a paradigm in machine learning whose processing capabilities rely on the dynamical behavior of recurrent neural networks. We present a mixed analog and digital implementation of this concept with a nonlinear analog electronic circuit as a main computational unit. In our approach, the reservoir network can be replaced by a single(More)
In this paper we present a unified framework for extreme learning machines and reservoir computing (echo state networks), which can be physically implemented using a single nonlinear neuron subject to delayed feedback. The reservoir is built within the delay-line, employing a number of "virtual" neurons. These virtual neurons receive random projections from(More)
A theoretical analysis has been undertaken of the steady state transverse mode selection in Vertical Cavity Surface Emitting Lasers (VCSELs) subject to optical feedback in an external cavity connguration. Proper account is taken of multiple re-ections in the external cavity. The innuence of thermal eeects on the mode selection is also treated and noise(More)
A physical scheme based on a single nonlinear dynamical system with delayed feedback has been recently proposed for Reservoir Computing (RC) [1]. In this paper we present a computational implementation of this idea using a simple chain topology with properties derived from its physical counterpart (e.g. the reservoir is defined by two tunable parameters(More)
An analysis of the nonlinear dynamics of current modulated weakly index-guided VCSELs in a multi{transverse mode regime is performed by using a model that takes into account all the transverse modes supported by t h e waveguide. Nonlinear dynamical behavior is studied when applying current modulation of high frequency and large modulation depth. Chaotic(More)
Calculations are reported of the eeect of birefringence on the selection of polarization states for the case of a weakly index guided Vertical-Cavity Surface Emitting Laser supporting both a fundamental and a higher-order transverse mode. The innuence of the refraction index step of the waveguide on the polarization behaviour of the laser is elucidated. It(More)
We study polarization switching and transverse mode competition in Vertical Cavity Surface Emitting Lasers in the absence of temperature eeects. We use a model that incorporates the vector nature of the laser eld, saturable dispersion , diierent carrier populations associated with diierent magnetic sublevels of the conduction and heavy hole valence bands in(More)
In this work we present a new combined analytical and numerical method to obtain the turn{on delay time probability distribution P() of single{mode semiconductor lasers under pseudorandom word modulation (PRWM) of the injection current. The laser is described by stochastic rate equations that include the eeect of the spontaneous emission noise. The method(More)
We obtain an exact bound for synchronization in coupled time-delay systems using the generalized Halanay inequality for the general case of time-dependent delay, coupling, and coefficients. Furthermore, we show that the same analysis is applicable to both uni- and bidirectionally coupled time-delay systems with an appropriate evolution equation for their(More)