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We demonstrate experimentally how semiconductor lasers subjected to double optical feedback change the statistics of their chaotic spiking dynamics from Gaussian to long-tail Power Law distributions associated to the emergency of bursting.…

We report the spectral characteristics of fully chaotic and non-chaotic microcavity lasers under continuous-wave operating conditions. It is found that fully chaotic microcavity lasers operate in single mode, whereas non-chaotic microcavity…

Stability control in laser is still an emerging field of research. In this paper the dynamics of External cavity semiconductor lasers (ECSLs) is widely studied applying the methods of chaos physics. The stability is analyzed through…

光学 · 物理学 2011-01-20 Sohrab Behnia , Khosro Mabhouti , Saeid Afrang

In this paper, synchronization of identical switched chaotic systems is explored based on Lyapunov theory of guaranteed stability. Concepts from robust control principles and switched linear systems are merged together to derive a…

最优化与控制 · 数学 2016-11-30 Indranil Pan , Saptarshi Das , Avijit Routh

We present the linear-stability analysis of synchronised states in coupled time-delay systems. There exists a synchronisation threshold, for which we derive upper bounds, which does not depend on the delay time. We prove that at least for…

chao-dyn · 物理学 2009-10-31 Martin J. Bünner , Wolfram Just

Maximizing the rf bandwidth associated with the chaotic output from tailored operation of nonlinear semiconductor laser systems is an ongoing research effort. The early pioneering research was done in semiconductor laser with delayed…

光学 · 物理学 2023-12-25 D M Kane , M Radziunas

We theoretically study chaos synchronization of two lasers which are delay-coupled via an active or a passive relay. While the lasers are synchronized, their dynamics is identical to a single laser with delayed feedback for a passive relay…

混沌动力学 · 物理学 2010-11-22 V. Flunkert , O. D'Huys , J. Danckaert , I. Fischer , E. Schoell

Many complex phenomena, from weather systems to heartbeat rhythm patterns, are effectively modeled as low-dimensional dynamical systems. Such systems may behave chaotically under certain conditions, and so the ability to detect chaos based…

机器学习 · 计算机科学 2021-06-17 Hagai Rappeport , Irit Levin Reisman , Naftali Tishby , Nathalie Q. Balaban

In this paper, we report the enhanced stability of induced synchronization by transient uncoupling observed in certain unidirectionally coupled second-order chaotic systems. The stability of synchronization observed in the coupled systems…

混沌动力学 · 物理学 2019-02-25 G. Sivaganesh , A. Arulgnanam , A. N. Seethalakshmi

We experimentally demonstrate synchronization between two distinct ensembles of cold atoms undergoing steady state superradiance within a single longitudinal and transverse mode of the same optical cavity. The synchronization process is…

原子物理 · 物理学 2017-03-15 Joshua M. Weiner , Kevin C. Cox , Justin G. Bohnet , James K. Thompson

A high degree of chaos synchronization among transverse mode pairs with parity-symmetric polarizations was demonstrated in a laser-diode pumped thin-slice c-cut Nd: GdVO4 laser. The amplitude correlation coefficient greater than R > 0.994…

光学 · 物理学 2020-10-12 Kenju Otsuka

We present results obtained for a network of four delay-coupled lasers modelled by Lang-Kobayashi-type equations. We find small chimera states consisting of a pair of synchronized lasers and two unsynchronized lasers. One class of these…

适应与自组织系统 · 物理学 2021-08-09 André Röhm , Fabian Böhm , Kathy Lüdge

We investigate chaos in mixed-phase-space Hamiltonian systems using time series of the finite- time Lyapunov exponents. The methodology we propose uses the number of Lyapunov exponents close to zero to define regimes of ordered…

混沌动力学 · 物理学 2015-06-16 R. M. da Silva , C. Manchein , M. W. Beims , E. G. Altmann

The linear response of synchronized chaotic units with delayed couplings and feedback to small external perturbations is investigated in the context of communication with chaos synchronization. For iterated chaotic maps, the distribution of…

混沌动力学 · 物理学 2013-02-05 Wolfgang Kinzel , Johannes Kestler , Ido Kanter

We analyze the size limits of coupled map lattices with diffusive coupling at the crossover of low-dimensional to high-dimensional chaos. We investigate the existence of standing-wave-type periodic patterns, within the low-dimensional…

混沌动力学 · 物理学 2009-11-11 P. Palaniyandi , P. Muruganandam , M. Lakshmanan

Synchronization is shown to occur in spatially extended systems under the effect of additive spatio-temporal noise. In analogy to low dimensional systems, synchronized states are observable only if the maximum Lyapunov exponent $\Lambda$ is…

chao-dyn · 物理学 2016-11-23 L. Baroni , R. Livi , A. Torcini

We study the mutual coupling of chaotic lasers and observe both experimentally and in numeric simulations, that there exists a regime of parameters for which two mutually coupled chaotic lasers establish isochronal synchronization, while a…

We show two examples of noise--induced synchronization. We study a 1-d map and the Lorenz systems, both in the chaotic region. For each system we give numerical evidence that the addition of a (common) random noise, of large enough…

混沌动力学 · 物理学 2009-10-31 R. Toral , C. R. Mirasso , E. Hernandez-Garcia , O. Piro

Physical chaos is a fascinating prospect for high-speed data security by serving as a masking carrier or a key source, but suffers from a colored spectrum that divulges system's intrinsic oscillations and degrades randomness. Here, we…

光学 · 物理学 2017-02-20 Anbang Wang , Yuncai Wang , Bingjie Wang , Lei Li , Mingjiang Zhang , Wendong Zhang

Networks of nonlinear units with time-delayed couplings can synchronize to a common chaotic trajectory. Although the delay time may be very large, the units can synchronize completely without time shift. For networks of coupled Bernoulli…

混沌动力学 · 物理学 2015-03-17 A. Englert , S. Heiligenthal , W. Kinzel , I. Kanter