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The mechanism of phase synchronization between uncoupled limit-cycle oscillators induced by common external impulsive forcing is analyzed. By reducing the dynamics of the oscillator to a random phase map, it is shown that phase…

适应与自组织系统 · 物理学 2007-06-13 H. Nakao , K. Arai , K. Nagai , Y. Tsubo , Y. Kuramoto

We study synchronization properties of general uncoupled limit-cycle oscillators driven by common and independent Gaussian white noises. Using phase reduction and averaging methods, we analytically derive the stationary distribution of the…

适应与自组织系统 · 物理学 2007-05-23 Hiroya Nakao , Kensuke Arai , Yoji Kawamura

We study a large population of globally coupled phase oscillators subject to common white Gaussian noise and find analytically that the critical coupling strength between oscillators for synchronization transition decreases with an increase…

适应与自组织系统 · 物理学 2010-07-02 Ken H. Nagai , Hiroshi Kori

An ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses shows a range of non-trivial behavior, from synchronization, desynchronization, to clustering. The group behavior that arises in the ensemble can be…

适应与自组织系统 · 物理学 2009-03-12 Kensuke Arai , Hiroya Nakao

We investigate phase synchronization between two identical or detuned response oscillators coupled to a slightly different drive oscillator. Our result is that phase synchronization can occur between response oscillators when they are…

混沌动力学 · 物理学 2009-11-10 Dae-Sic Lee , Won-Ho Kye , Sunghwan Rim , Tae-Yoon Kwon , Chil-Min Kim

We make a short review about the synchronization in coupled phase oscillator models. Next, we study the common-noise-induced synchronization among active rotators. At an intermediate noise strength, the noise-induced synchronization takes…

适应与自组织系统 · 物理学 2015-05-13 Hidetsugu Sakaguchi

Synchronization is the process of achieving identical dynamics among coupled identical units. If the units are different from each other, their dynamics cannot become identical; yet, after transients, there may emerge a functional…

混沌动力学 · 物理学 2016-11-09 Aditya Tandon , Malte Schröder , Manu Mannattil , Marc Timme , Sagar Chakraborty

A universal mechanism underlying generalized synchronization conditions in unidirectionally coupled stochastic oscillators is considered. The consideration is carried out in the framework of a modified system with additional dissipation.…

混沌动力学 · 物理学 2009-11-11 A. A. Koronovskii , O. I. Moskalenko , A. E. Hramov

Experimental realization and quantitative investigation of common-noise-induced synchronization of limit-cycle oscillations subject to random telegraph signals are performed using an electronic oscillator circuit. Based on our previous…

适应与自组织系统 · 物理学 2009-04-17 Ken Nagai , Hiroya Nakao

Shared upstream dynamical processes are frequently the source of common inputs in various physical and biological systems. However, due to finite signal transmission speeds and differences in the distance to the source, time shifts between…

神经元与认知 · 定量生物学 2017-03-10 Ehsan Bolhasani , Yousef Azizi , Alireza Valizadeh , Matjaz Perc

After decades of study, there are only two known mechanisms to induce global synchronization in a population of oscillators: deterministic coupling and common forcing. The inclusion of independent random forcing in these models typically…

适应与自组织系统 · 物理学 2023-03-31 Jeremy Worsfold , Tim Rogers

Spontaneous synchronization between coupled periodic systems occur in a wealth of classical physical setups. Here, we show theoretically that the phase of two distinct quantum harmonic oscillators spontaneously when they are strongly…

量子物理 · 物理学 2019-09-04 Loic Henriet

In this work, we investigate the synchronization in oscillators with conjugate coupling in which oscillators interact via dissimilar variables. The synchronous dynamics and its stability are investigated theoretically and numerically. We…

混沌动力学 · 物理学 2016-10-05 Wenchen Han , Mei Zhang , Junzhong Yang

Synchronization of two or more self-sustained oscillators is a well-known and studied phenomenon, appearing both in natural and designed systems. In some cases, the synchronized state is undesired, and the aim is to destroy synchrony by…

混沌动力学 · 物理学 2024-08-14 Erik T. K. Mau , Michael Rosenblum

We analyze a model for the synchronization of nonlinear oscillators due to reactive coupling and nonlinear frequency pulling motivated by the physics of arrays of nanoscale oscillators. We study the model for the mean field case of…

其他凝聚态物理 · 物理学 2009-11-10 M. C. Cross , A. Zumdieck , Ron Lifshitz , J. L. Rogers

We have found that a novel type of entrainment occurs in two nonidentical limit cycle oscillators subjected to a common external white Gaussian noise. This entrainment is anomalous in the sense that the two oscillators have different mean…

混沌动力学 · 物理学 2007-06-01 Kazuyuki Yoshimura , Peter Davis , Atsushi Uchida

The mechanism of synchronization of oscillations in two identical coupled flow systems has beenstudied. The time (past the coupling onset) during which a synchronous oscillation regime is establisheddepends on the oscillation phase…

混沌动力学 · 物理学 2015-06-26 A. A. Koronovskii , A. E. Hramov , I. A. Khromova

The model of a non-autonomous memristor-based oscillator with a line of equilibria is studied. A numerical simulation of the system driven by a periodical force is combined with a theoretical analysis by means of the quasi-harmonic…

适应与自组织系统 · 物理学 2020-10-28 Ivan A. Korneev , Andrei V. Slepnev , Vladimir V. Semenov , Tatiana Vadivasova

Synchronization is a widespread phenomenon observed in physical, biological, and social networks, which persists even under the influence of strong noise. Previous research on oscillators subject to common noise has shown that noise can…

适应与自组织系统 · 物理学 2021-06-02 Zachary G. Nicolaou , Michael Sebek , Istvan Z. Kiss , Adilson E. Motter

We present a detailed analysis of a model for the synchronization of nonlinear oscillators due to reactive coupling and nonlinear frequency pulling. We study the model for the mean field case of all-to-all coupling, deriving results for the…

适应与自组织系统 · 物理学 2009-11-11 M. C. Cross , J. L. Rogers , Ron Lifshitz , A. Zumdieck
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