Author
Pere Colet
Other affiliations: Georgia Institute of Technology, Max Planck Society, University of the Balearic Islands
Bio: Pere Colet is an academic researcher from Spanish National Research Council. The author has contributed to research in topics: Semiconductor laser theory & Optical chaos. The author has an hindex of 37, co-authored 241 publications receiving 6489 citations. Previous affiliations of Pere Colet include Georgia Institute of Technology & Max Planck Society.
Topics: Semiconductor laser theory, Optical chaos, Laser, Chaotic, Instability
Papers published on a yearly basis
Papers
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TL;DR: High-speed long-distance communication based on chaos synchronization over a commercial fibre-optic channel is demonstrated, showing that information can be transmitted at high bit rates using deterministic chaos in a manner that is robust to perturbations and channel disturbances unavoidable under real-world conditions.
Abstract: Chaos is good, if you are looking to send encrypted information across a broadband optical network. The idea that the transmission of light-based signals embedded in chaos can provide privacy in data transmission has been demonstrated over short distances in the laboratory. Now it has been shown to work for real, across a commercial fibre-optic channel in the metropolitan area network of Athens, Greece. The results show that the technology is robust to perturbations and channel disturbances unavoidable under real-world conditions. Chaotic signals have been proposed as broadband information carriers with the potential of providing a high level of robustness and privacy in data transmission1,2. Laboratory demonstrations of chaos-based optical communications have already shown the potential of this technology3,4,5, but a field experiment using commercial optical networks has not been undertaken so far. Here we demonstrate high-speed long-distance communication based on chaos synchronization over a commercial fibre-optic channel. An optical carrier wave generated by a chaotic laser is used to encode a message for transmission over 120 km of optical fibre in the metropolitan area network of Athens, Greece. The message is decoded using an appropriate second laser which, by synchronizing with the chaotic carrier, allows for the separation of the carrier and the message. Transmission rates in the gigabit per second range are achieved, with corresponding bit-error rates below 10-7. The system uses matched pairs of semiconductor lasers as chaotic emitters and receivers, and off-the-shelf fibre-optic telecommunication components. Our results show that information can be transmitted at high bit rates using deterministic chaos in a manner that is robust to perturbations and channel disturbances unavoidable under real-world conditions.
1,267 citations
TL;DR: It is shown that a current-biased series array of nonidentical Josephson junctions undergoes two transitions as a function of the spread of natural frequencies, and the system can be mapped onto an exactly solvable model introduced by Kuramoto and the transition points can be accurately predicted.
Abstract: We show that a current-biased series array of nonidentical Josephson junctions undergoes two transitions as a function of the spread of natural frequencies. One transition corresponds to the onset of partial synchronization, and the other corresponds to complete phase locking. In the limit of weak coupling and disorder, the system can be mapped onto an exactly solvable model introduced by Kuramoto and the transition points can be accurately predicted.
503 citations
TL;DR: In this paper, the circuit equations for certain series arrays of Josephson junctions can be mapped onto a simple model originally introduced by Kuramoto [in Proceedings of the International Symposium on Mathematical Problems in Theoretical Physics, edited by H Araki, Lecture Notes in Physics Vol 39 (Springer, Berlin, 1975)] to study fundamental aspects of frequency locking in large populations of nonlinear oscillators.
Abstract: The circuit equations for certain series arrays of Josephson junctions can be mapped onto a simple model originally introduced by Kuramoto [in Proceedings of the International Symposium on Mathematical Problems in Theoretical Physics, edited by H Araki, Lecture Notes in Physics Vol 39 (Springer, Berlin, 1975)] to study fundamental aspects of frequency locking in large populations of nonlinear oscillators This correspondence makes it possible to derive accurate theoretical predictions of transitions signaling the onset of partial and complete locking, respectively We calculate that both transitions should be observable experimentally using present fabrication tolerances
342 citations
TL;DR: It is numerically show that the synchronization of two chaotic semiconductor lasers is possible when a small amount of output intensity from one is injected into the other and a message can be encoded in the chaotic carrier and transmitted by an optical fiber and decoded by a receiver with a very good quality.
Abstract: We numerically show that the synchronization of two chaotic semiconductor lasers is possible when a small amount of output intensity from one Is injected into the other. We also show that a message can be encoded in the chaotic carrier, transmitted by an optical fiber and decoded by a receiver with a very good quality.
299 citations
TL;DR: A scheme for encoding digital data within a spiky chaotic carrier from a loss-modulated solid-state laser that is performed in real time with a synchronized chaotic laser system.
Abstract: We propose a scheme for encoding digital data within a spiky chaotic carrier from a loss-modulated solid-state laser. Decoding is performed in real time with a synchronized chaotic laser system.
260 citations
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TL;DR: This work aims to understand how an enormous network of interacting dynamical systems — be they neurons, power stations or lasers — will behave collectively, given their individual dynamics and coupling architecture.
Abstract: The study of networks pervades all of science, from neurobiology to statistical physics. The most basic issues are structural: how does one characterize the wiring diagram of a food web or the Internet or the metabolic network of the bacterium Escherichia coli? Are there any unifying principles underlying their topology? From the perspective of nonlinear dynamics, we would also like to understand how an enormous network of interacting dynamical systems-be they neurons, power stations or lasers-will behave collectively, given their individual dynamics and coupling architecture. Researchers are only now beginning to unravel the structure and dynamics of complex networks.
7,665 citations
TL;DR: In this paper, the authors describe the rules of the ring, the ring population, and the need to get off the ring in order to measure the movement of a cyclic clock.
Abstract: 1980 Preface * 1999 Preface * 1999 Acknowledgements * Introduction * 1 Circular Logic * 2 Phase Singularities (Screwy Results of Circular Logic) * 3 The Rules of the Ring * 4 Ring Populations * 5 Getting Off the Ring * 6 Attracting Cycles and Isochrons * 7 Measuring the Trajectories of a Circadian Clock * 8 Populations of Attractor Cycle Oscillators * 9 Excitable Kinetics and Excitable Media * 10 The Varieties of Phaseless Experience: In Which the Geometrical Orderliness of Rhythmic Organization Breaks Down in Diverse Ways * 11 The Firefly Machine 12 Energy Metabolism in Cells * 13 The Malonic Acid Reagent ('Sodium Geometrate') * 14 Electrical Rhythmicity and Excitability in Cell Membranes * 15 The Aggregation of Slime Mold Amoebae * 16 Numerical Organizing Centers * 17 Electrical Singular Filaments in the Heart Wall * 18 Pattern Formation in the Fungi * 19 Circadian Rhythms in General * 20 The Circadian Clocks of Insect Eclosion * 21 The Flower of Kalanchoe * 22 The Cell Mitotic Cycle * 23 The Female Cycle * References * Index of Names * Index of Subjects
3,424 citations
TL;DR: In this paper, a review of the Kuramoto model of coupled phase oscillators is presented, with a rigorous mathematical treatment, specific numerical methods, and many variations and extensions of the original model that have appeared in the last few years.
Abstract: Synchronization phenomena in large populations of interacting elements are the subject of intense research efforts in physical, biological, chemical, and social systems. A successful approach to the problem of synchronization consists of modeling each member of the population as a phase oscillator. In this review, synchronization is analyzed in one of the most representative models of coupled phase oscillators, the Kuramoto model. A rigorous mathematical treatment, specific numerical methods, and many variations and extensions of the original model that have appeared in the last few years are presented. Relevant applications of the model in different contexts are also included.
2,864 citations
TL;DR: In this article, the authors review 25 years of research on the Kuramoto model, highlighting the false turns as well as the successes, but mainly following the trail leading from Kuramoto's work to Crawford's recent contributions.
2,795 citations
TL;DR: Synchronization of chaos refers to a process where two chaotic systems adjust a given property of their motion to a common behavior due to a coupling or to a forcing (periodical or noisy) as discussed by the authors.
2,266 citations