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We derive rigorous conditions for the synchronization of all-optically coupled lasers. In particular, we elucidate the role of the optical coupling phases for synchronizability by systematically discussing all possible network motifs…

混沌动力学 · 物理学 2012-03-30 Valentin Flunkert , Eckehard Schöll

A broadband chaotic laser with a flat power spectrum extending up to 8.5GHz is achieved by injecting continuous wave laser light into a chaotic diode laser perturbed by fiber random grating induced distributed feedback, which forms a…

光学 · 物理学 2018-10-17 Yanping Xu , Liang Zhang , Ping Lu , Steven Mihailov , Liang Chen , Xiaoyi Bao

Synchronization of chaotic units coupled by their time delayed variables are investigated analytically. A new type of cooperative behavior is found: sublattice synchronization. Although the units of one sublattice are not directly coupled…

混沌动力学 · 物理学 2009-11-13 Johannes Kestler , Wolfgang Kinzel , Ido Kanter

We study the transition to synchronization in large, dense networks of chaotic circle maps, where an exact solution of the mean-field dynamics in the infinite network and all-to-all coupling limit is known. In dense networks of finite size…

无序系统与神经网络 · 物理学 2023-07-06 Hans Muller Mendonca , Ralf Tönjes , Tiago Pereira

The effect of quenched disorder in a many-body system is experimentally investigated in a controlled fashion. It is done by measuring the phase synchronization (i.e. mutual coherence) of 400 coupled lasers as a function of tunable disorder…

Using a combination of analytical and numerical techniques, we show that chaos in globally-coupled identical dynamical systems, be they dissipative or Hamiltonian, is both extensive and sub-extensive: their spectrum of Lyapunov exponents is…

Entrainment of limit cycles by chaos [1] is discovered numerically through specially designed unidirectional coupling of two glow discharge-semiconductor systems. By utilizing the auxiliary system approach [2], it is verified that the…

混沌动力学 · 物理学 2014-06-18 Marat Akhmet , Ismail Rafatov , Mehmet Onur Fen

We study perfect chaos synchronization between two bi-directionally coupled external cavity semiconductor lasers and demonstrate for the first time that mismatches in laser photon decay rates can explain the experimentally observed…

混沌动力学 · 物理学 2009-11-07 E. M. Shahverdiev , S. Sivaprakasam , K. A. Shore

Recently, it was shown that certain systems with large time-varying delay exhibit different types of chaos, which are related to two types of time-varying delay: conservative and dissipative delays. The known high-dimensional Turbulent…

适应与自组织系统 · 物理学 2020-03-24 David Müller-Bender , Andreas Otto , Günter Radons , Joseph D. Hart , Rajarshi Roy

We have found stable chaotic solutions for optomechanical systems coupled with a Two-Level System or qubit. In this system methods have been found which can be used to Tune in and out of Chaos as well as various n-period motions. This…

量子物理 · 物理学 2021-03-02 Manik Kapil , Amarendra K. Sarma

The synchronized excitable behavior of two coupled chaotic diode lasers with feedback was experimental and numerically studied. We determine the relation between the observed delay times in synchronized Low Frequency Fluctuation spikes and…

光学 · 物理学 2015-05-13 Jhon F. Martinez Avila , J. R. Rios Leite

We propose a new diagnostic for quantum chaos. We show that time evolution of complexity for a particular type of target state can provide equivalent information about the classical Lyapunov exponent and scrambling time as out-of-time-order…

高能物理 - 理论 · 物理学 2020-02-05 Tibra Ali , Arpan Bhattacharyya , S. Shajidul Haque , Eugene H. Kim , Nathan Moynihan , Jeff Murugan

We experimentally report on the detection of chaos from a free-running commercial broad-area VCSEL without the need for external perturbation such as optical feedback, injection or current modulation. The evolution of nonlinear dynamics…

光学 · 物理学 2025-01-28 Jules Mercadier , Stefan Bittner , Damien Rontani , Marc Sciamanna

We numerically investigate the dynamics of a closed chain of unidirectionally coupled oscillators in a regime of homoclinic chaos. The emerging synchronization regimes show analogies with the experimental behavior of a single chaotic laser…

斑图形成与孤子 · 物理学 2007-05-23 I. Leyva , E. Allaria , S. Boccaletti , F. T. Arecchi

If you are given a simple three-dimensional autonomous quadratic system that has only one stable equilibrium, what would you predict its dynamics to be, stable or periodic? Will it be surprising if you are shown that such a system is…

混沌动力学 · 物理学 2015-05-27 Xiong Wang , Guanrong Chen

Dynamics of external cavity semiconductor lasers is known to be a complex and uncontrollable phenomenon. Due to the lack of experimental studies on the nature of the external cavity semiconductor lasers, there is a need to theoretically…

混沌动力学 · 物理学 2015-05-27 S. Behnia , Kh. Mabhouti , A. Jafari , A. Akhshani

Spatially extended dynamical systems, namely coupled map lattices, driven by additive spatio-temporal noise are shown to exhibit stochastic synchronization. In analogy with low-dymensional systems, synchronization can be achieved only if…

混沌动力学 · 物理学 2009-10-31 Lucia Baroni , Roberto Livi , Alessandro Torcini

One-dimensional systems exhibiting a continuous symmetry can host quantum phases of matter with true long-range order only in the presence of sufficiently long-range interactions. In most physical systems, however, the interactions are…

We have found a synchronization behavior between two identical chaotic systems^M when their delay times are modulated by a common irregular signal. ^M This phenomenon is demonstrated both in two identical chaotic maps whose delay times are…

混沌动力学 · 物理学 2016-09-08 Won-Ho Kye , Muhan Choi , M. S. Kurdoglyan , Chil-Min Kim , Young-Jai Park

We show the first solvable chaotic synchronization model of unidirectionally coupled dynamical systems. We establish a new interpretation of the conditional Lyapunov exponent that characterizes chaotic synchronization completely. Moreover,…

混沌动力学 · 物理学 2016-07-08 Masaru Shintani , Ken Umeno