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We study populations of globally coupled noisy rotators (oscillators with inertia) allowing a nonequilibrium transition from a desynchronized state to a synchronous one (with the non-vanishing order parameter). The newly developed…

Adaptation and Self-Organizing Systems · Physics 2019-12-04 V. ~O. ~Munyaev , L. ~A. ~Smirnov , V. ~A. ~Kostin , G. ~V. ~Osipov , A. ~Pikovsky

When two resonantly interacting modes are in contact with a thermostat, their statistics is exactly Gaussian and the modes are statistically independent despite strong interaction. Considering noise-driven system, we show that when one mode…

Chaotic Dynamics · Physics 2021-07-28 N. Vladimirova , M. Shavit , S. Belan , G. Falkovich

We consider a standard optomechanical system where a mechanical oscillator is coupled to a cavity mode through the radiation pressure interaction. The oscillator is coherently driven at its resonance frequency, whereas the cavity mode is…

Mesoscale and Nanoscale Physics · Physics 2019-03-01 Kjetil Borkje

In this article, we present a systematic study of the critical behavior of phase oscillators with multiplicative noise from a thermodynamic equilibrium approach. We have already presented the thermodynamics of phase noise oscillators and…

Statistical Mechanics · Physics 2017-05-24 Pedro D. Pinto , Fernando A. Oliveira , André L. A. Penna

This experimental study investigates the dynamical transition from stable operation to thermoacoustic instability in a turbulent bluff-body stabilized dump combustor. We conduct experiments to characterize the dynamical transition utilizing…

Fluid Dynamics · Physics 2022-01-12 M. Raghunathan , N. B. George , V. R Unni , J. Kurths , E. Surovyatkina , R. I. Sujith

Adaptive dynamical networks are ubiquitous in real-world systems. This paper aims to explore the synchronization dynamics in networks of adaptive oscillators based on a paradigmatic system of adaptively coupled phase oscillators. Our…

Adaptation and Self-Organizing Systems · Physics 2024-09-16 Mengke Wei , Andreas Amann , Oleksandr Burylko , Xiujing Han , Serhiy Yanchuk , Jürgen Kurths

Self-sustained order can emerge in complex systems due to internal feedback between coupled subsystems. Here, we present our discovery of a non-monotonic emergence of order amidst chaos in a turbulent thermo-acoustic fluid system.…

Fluid Dynamics · Physics 2025-02-19 Aswin Balaji , Shruti Tandon , Norbert Marwan , Jürgen Kurths , R. I. Sujith

As lean premixed combustion systems are more susceptible to combustion instabilities than non-premixed systems, there is an increasing demand for improved numerical design tools that can predict the occurrence of combustion instabilities…

Fluid Dynamics · Physics 2015-05-19 Nils Erland L. Haugen , Øyvind Langørgen , Sigurd Sannan

We address a recently introduced model describing a system of periodically coupled nonlinear phase oscillators submitted to multiplicative white noises, wherein a ratchet-like transport mechanism arises through a symmetry-breaking…

Statistical Mechanics · Physics 2009-10-31 S. E. Mangioni , R. R. Deza , H. S. Wio

Assessment of voice signals has long been performed with the assumption of periodicity as this facilitates analysis. Near periodicity of normal voice signals makes short-time harmonic modeling an appealing choice to extract vocal feature…

Audio and Speech Processing · Electrical Eng. & Systems 2022-02-10 Takeshi Ikuma , Andrew J. McWhorter , Lacey Adkins , Melda Kunduk

We numerically study the celebrated Kuramoto model of identical oscillators arranged on the sites of a two-dimensional periodic square lattice and subject to nearest neighbor interactions and dichotomous noise. In the nonequilibrium…

Adaptation and Self-Organizing Systems · Physics 2021-08-04 Mrinal Sarkar

Superparamagnetic tunnel junctions are nanostructures that auto-oscillate stochastically under the effect of thermal noise. Recent works showed that despite their stochasticity, such junctions possess a capability to synchronize to…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 A. Mizrahi , N. Locatelli , J. Grollier , D. Querlioz

We consider a toy model of two kinetically coupled stochastic oscillators whose dynamics is described as a Markov jump process among $N$ discrete phase states. For large $N$, it maps onto the deterministic two-oscillator Kuramoto model of…

Statistical Mechanics · Physics 2026-03-24 Maciej Chudak , Massimiliano Esposito , Krzysztof Ptaszynski

We formulate and study a low-order nonlinear coupled ocean-atmosphere model with an emphasis on the impact of radiative and heat fluxes and of the frictional coupling between the two components. This model version extends a previous…

Chaotic Dynamics · Physics 2015-08-28 Stéphane Vannitsem , Jonathan Demaeyer , Lesley De Cruz , Michael Ghil

In this work, we perform a careful study of an special arrangement of coupled systems that consists of two external harmonic oscillators weakly coupled to an arbitrary network (data bus) of strongly interacting oscillators. Our aim is to…

Quantum Physics · Physics 2016-08-25 F. Nicacio , F. L. Semião

Rate processes are simple and analytically tractable models for many dynamical systems which switch stochastically between a discrete set of quasi stationary states but they may also approximate continuous processes by coarse grained,…

Statistical Mechanics · Physics 2013-03-11 R. Toenjes , H. Kori

Turbulent dynamical systems characterized by both a high-dimensional phase space and a large number of instabilities are ubiquitous among many complex systems in science and engineering. The existence of a strange attractor in the turbulent…

Fluid Dynamics · Physics 2018-02-23 Andrew J. Majda , Di Qi

This study developed the theory of nonequilibrium thermodynamics for populations of low-temperature-differential (LTD) Stirling engines weakly-coupled in a general class of networks to clarify the effects of synchronous and asynchronous…

Statistical Mechanics · Physics 2025-02-26 Songhao Yin , Hiroshi Kori , Yuki Izumida

We consider a chain of weakly harmonic coupled oscillators perturbed by a conservative noise. We show that by tuning accordingly the coupling constant energy can diffuse like a Brownian motion or superdiffuse like a maximally 3/2-stable…

Probability · Mathematics 2016-11-10 Cedric Bernardin , Patricia Goncalves , Milton Jara

Self-sustained oscillations arising from the interactions between the hydrodynamic and the acoustic field are disastrous in engineering systems such as segmented solid rocket motors and large gas pipelines. These self-sustained oscillations…

Fluid Dynamics · Physics 2023-06-13 Ramesh S. Bhavi , Induja Pavithran , R. I. Sujith
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