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We construct an analytical theory of interplay between synchronizing effects by common noise and by global coupling for a general class of smooth limit-cycle oscillators. Both the cases of attractive and repulsive coupling are considered.…

Adaptation and Self-Organizing Systems · Physics 2019-04-02 Denis S. Goldobin , Anastasiya V. Dolmatova

After a sudden quench from the disordered high-temperature $T_0\to\infty$ phase to a final temperature below the critical point $T_F \ll T_c$, the non-conserved order parameter dynamics of the two-dimensional ferromagnetic Ising model on a…

We consider the time development of the density matrix for a system coupled to a thermal bath, in models that go beyond the standard two-level systems through addition of an energy excitation degree of freedom and through the possibility of…

Quantum Physics · Physics 2016-09-08 N. F. Bell , R. F. Sawyer , R. R. Volkas

The nonasymptotic critical behavior of sound attenuation coefficient has been studied in an elastically isotropic Ising system above the critical point on the basis of a complete stochastic model including both spin-energy and…

Statistical Mechanics · Physics 2007-05-23 Andrzej Pawlak

The out-of-equilibrium character of active systems is often twofold, arising from both the activity itself and from non-reciprocal couplings between constituents. A well-established measure to quantify the system's distance from equilibrium…

Statistical Mechanics · Physics 2026-02-13 Kim L. Kreienkamp , Sabine H. L. Klapp

We propose an approach for inferring strength of coupling between two systems from their transient dynamics. This is of vital importance in cases where most information is carried by the transients, for instance in evoked potentials…

Neurons and Cognition · Quantitative Biology 2008-11-27 Szymon Leski , Daniel K. Wojcik

Using a stochastic nonlinear phase oscillator model, we study the effect of event-triggered feedback on the statistics of interevent intervals. Events are associated with the entering of a new cycle. The feedback is modeled by an…

Data Analysis, Statistics and Probability · Physics 2015-06-18 Justus A. Kromer , Benjamin Lindner , Lutz Schimansky-Geier

This paper is concerned with linear quantum networks of $N$ nondegenerate optical parametric amplifiers (NOPAs), with $N$ up to 6, which are interconnected in a coherent feedback chain. Each network connects two communicating parties (Alice…

Quantum Physics · Physics 2019-03-05 Zhan Shi , Hendra I. Nurdin

The entrainment between weakly-coupled nonlinear oscillators, as well as between complex signals such as those representing physiological activity, is frequently assessed in terms of whether a stable relationship is detectable between the…

Neurons and Cognition · Quantitative Biology 2019-02-27 Ludovico Minati , Natsue Yoshimura , Mattia Frasca , Stanislaw Drozdz , Yasuharu Koike

A lattice model of three-state stochastic phase-coupled oscillators has been shown by Wood et al (2006 Phys. Rev. Lett. 96 145701) to exhibit a phase transition at a critical value of the coupling parameter, leading to stable global…

Biological Physics · Physics 2011-09-23 Vladimir R. V. Assis , Mauro Copelli , Ronald Dickman

The dynamics of a pair of coupled harmonic oscillators in separate or common thermal environments is studied, focusing on different indicators of quantumness, such as entanglement, twin oscillators correlations and quantum discord. We…

Quantum Physics · Physics 2011-12-13 Gian Luca Giorgi , Fernando Galve , Roberta Zambrini

Dynamical decoupling is an important tool to counter decoherence and dissipation effects in quantum systems originating from environmental interactions. It has been used successfully in many experiments; however, there is still a gap…

Quantum Physics · Physics 2014-06-25 J. Z. Bernád , H. Frydrych

We consider a system of two linear and linearly coupled oscillators with ideal impact constraints. Primary resonant energy exchange is investigated by analysis of the slow-flow using the action-angle (AA) formalism. Exact inversion of the…

Chaotic Dynamics · Physics 2018-08-15 Nathan Perchikov , O. V. Gendelman

This paper addresses the amplitude and phase dynamics of a large system non-linear coupled, non-identical damped harmonic oscillators, which is based on recent research in coupled oscillation in optomechanics. Our goal is to investigate the…

Chaotic Dynamics · Physics 2015-06-23 P. Cudmore , C. A. Holmes

We formulate a phase-reduction method for a general class of noisy limit cycle oscillators and find that the phase equation is parametrized by the ratio between time scales of the noise correlation and amplitude relaxation of the limit…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Jun-nosuke Teramae , Hiroya Nakao , G. Bard Ermentrout

A system of two enzymes mechanically coupled to each other in a viscous medium was recently studied, and conditions for obtaining synchronization and an enhanced average rate of the thermally-activated catalytic reactions of the enzymes…

Statistical Mechanics · Physics 2023-09-29 Michalis Chatzittofi , Ramin Golestanian , Jaime Agudo-Canalejo

In order to respond to environmental signals, cells often use small molecular circuits to transmit information about their surroundings. Recently, motivated by concrete examples in signaling and gene regulation, a body of work has focused…

Molecular Networks · Quantitative Biology 2020-01-08 P. Szymańska-Rożek , D. Villamaina , J. Miȩkisz , A. M. Walczak

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

A self-consistent particle-in-cell simulation study is performed to investigate the effect of driving frequency on the electric field non-linearity, electron heating mechanism and electron energy distribution function (EEDF) in a low…

Plasma Physics · Physics 2020-04-22 Sarveshwar Sharma , Nishant Sirse , Animesh Kuley , Miles M Turner

We show that \emph{stochastic bursting} is observed in a ring of unidirectional delay-coupled noisy excitable systems, thanks to the combinational action of time-delayed coupling and noise. Under the approximation of timescale separation,…

Disordered Systems and Neural Networks · Physics 2019-05-01 Chunming Zheng , Arkady Pikovsky
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