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We present a class of systems for which the signal-to-noise ratio always increases when increasing the noise and diverges at infinite noise level. This new phenomenon is a direct consequence of the existence of a scaling law for the…

Condensed Matter · Physics 2016-08-15 J. M. G. Vilar , J. M. Rubí

We analyze the noise induced synchronization between a collective variable characterizing a complex system with a finite number of interacting bistable units and time periodic driving forces. A random phase process associated to the…

Statistical Mechanics · Physics 2009-11-13 José M. Casado , José Gómez-Ordóñez , Manuel Morillo

The emergence of noise-induced chaos in a random logistic map with bounded noise is understood as a two-step process consisting of a topological bifurcation flagged by a zero-crossing point of the supremum of the dichotomy spectrum and a…

Chaotic Dynamics · Physics 2018-11-12 Yuzuru Sato , Thai Son Doan , Jeroen S. W. Lamb , Martin Rasmussen

Certain nonlinear systems can switch between dynamical attractors occupying different regions of phase space, under variation of parameters or initial states. In this work we exploit this feature to obtain reliable logic operations. With…

Chaotic Dynamics · Physics 2019-03-06 K. Murali , Sudeshna Sinha , Vivek Kohar , Behnam Kia , William L. Ditto

In this work, we demonstrate that the Hindmarsh-Rose model subjected to additive white noise exhibits birhythmicity. Specifically, the system fluctuates between two distinct bursting attractors characterized by different numbers of spikes.…

Adaptation and Self-Organizing Systems · Physics 2025-05-12 Ignacio Ortega-Piwonka , Javier Used , Jesus M. Seoane , Miguel A. F. Sanjuan

It is shown that nonlocal coupling provides for controlling the collective noise-induced dynamics in the regime of stochastic resonance. This effect is demonstrated by means of numerical simulation on an example of coupled overdamped…

Adaptation and Self-Organizing Systems · Physics 2025-02-24 Vladimir Semenov

We present a novel experimental technique that can differentiate unequivocally between chaotic light and coherent light with amplitude fluctuations, and thus permits to characterize unambiguously the output of a laser. This technique…

We experimentally study the synchronization of chaos generated by semiconductor lasers in a cascade injection configuration, i.e., a tunable master laser is used to generate chaos by optical injection in a transmitter laser that injects…

Optics · Physics 2024-05-08 Jules Mercadier , Yaya Doumbia , Stefan Bittner , Marc Sciamanna

Nanolasers operating at low power levels are strongly affected by intrinsic quantum noise, influencing both intensity fluctuations and laser coherence. Starting from semiclassical rate equations and making a simple hypothesis for the phase…

The entrainment (or locking) phenomenon, by which an oscillator adapts its natural rhythm to an external periodic signal, is well-known in physics, chemistry, biology, etc.; however, controlling an stochastic nonlinear system with a…

Optics · Physics 2019-02-20 J Tiana-Alsina , C Quintero-Quiroz , M. C. Torrent , C Masoller

We study the formation of chaos and strange attractors in the order parameter space of a system of two coupled, non-resonantly driven exciton-polariton condensates. The typical scenario of bifurcations experienced by the system with…

Mesoscale and Nanoscale Physics · Physics 2020-04-21 R. Ruiz-Sánchez , R. Rechtman , Y. G. Rubo

We propose a method for controlling synchronization patterns of limit-cycle oscillators by common noisy inputs, i.e., by utilizing noise-induced synchronization. Various synchronization patterns, including fully synchronized and clustered…

Adaptation and Self-Organizing Systems · Physics 2015-02-18 Wataru Kurebayashi , Tsubasa Ishii , Mikio Hasegawa , Hiroya Nakao

Spontaneously symmetry-broken (SSB) phases are locally ordered states of matter characterizing a large variety of physical systems. Because of their specific ordering, their presence is usually witnessed by means of local order parameters.…

The random superposition of many weak sources will produce a stochastic background of gravitational waves that may dominate the response of the LISA (Laser Interferometer Space Antenna) gravitational wave observatory. Unless something can…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Neil J. Cornish

A new configuration for synchronizing two chaotic fiber lasers, which includes both coupling and losses, is presented. Experimental and calculated results reveal that the synchronization time can be significantly shorter than with…

Using methods of numerical simulation, we analyze the influence of L\'evy noise on synchronization of excitable oscillators in the regime of coherence resonance. Three cases are under consideration: forced synchronization of a single…

Adaptation and Self-Organizing Systems · Physics 2025-05-05 Ivan A. Korneev , Vladimir V. Semenov

Effect of biased noise fluctuations on the degree of squeezing as well as the intensity of a radiation generated by a one-photon coherent beat laser is presented. It turns out that the radiation exhibits squeezing inside and outside the…

Quantum Physics · Physics 2009-07-16 Sintayehu Tesfa

We show that for two identical neuronal oscillators with strictly positive phase resetting curve, isochronous synchrony is an unstable attractor and arbitrarily weak noise can destroy entrainment and generate intermittent phase slips. Small…

Neurons and Cognition · Quantitative Biology 2016-11-18 Ehsan Bolhasani , Alireza Valizadeh

We study the effect that the injection of a common source of noise has on the trajectories of chaotic systems, addressing some contradictory results present in the literature. We present particular examples of 1-d maps and the Lorenz…

Chaotic Dynamics · Physics 2009-11-07 Raul Toral , Claudio R. Mirasso , Emilio Hernandez-Garcia , Oreste Piro

Signal extraction out of background noise is a common challenge in high precision physics experiments, where the measurement output is often a continuous data stream. To improve the signal to noise ratio of the detection, witness sensors…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Gabriele Vajente , Yiwen Huang , Maximiliano Isi , Jenne C. Driggers , Jeffrey S. Kissel , Marek J. Szczepanczyk , Salvatore Vitale