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We propose a network of oscillators to retrieve given patterns in which the oscillators keep a fixed phase relationship with one another. In this description, the phase and the amplitude of the oscillators can be regarded as the timing and…

adap-org · Physics 2009-10-22 Toshio Aoyagi

We demonstrate experimentally that a broad area laser-like optical oscillator (a nondegenerate photorefractive oscillator) with structured injected signal displays two-phase patterns. The technique (G. J. de Valc\'arcel and K. Staliunas,…

Rewinding the arrow of time via phase conjugation is an intriguing phenomena made possible by the wave property of light. To exploit this phenomenon, diverse research fields have pursed the realization of an ideal phase conjugation mirror,…

Optics · Physics 2015-10-29 KyeoReh Lee , Junsung Lee , Jung-Hoon Park , Ji-Ho Park , YongKeun Park

The possibility for detuned spins to display synchronous oscillations in local observables is analyzed in the presence of collective dissipation and incoherent pumping. We show that there exist two distinct mechanisms that can give rise to…

Quantum Physics · Physics 2021-05-21 Albert Cabot , Gian Luca Giorgi , Roberta Zambrini

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…

Neurons and Cognition · Quantitative Biology 2017-03-10 Ehsan Bolhasani , Yousef Azizi , Alireza Valizadeh , Matjaz Perc

In this article we study synchronization of systems of homogeneous phase-coupled oscillators with plastic coupling strengths and arbitrary underlying topology. The dynamics of the coupling strength between two oscillators is governed by the…

Dynamical Systems · Mathematics 2016-02-24 Andrey Gushchin , Enrique Mallada , Ao Tang

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…

Adaptation and Self-Organizing Systems · Physics 2020-10-28 Ivan A. Korneev , Andrei V. Slepnev , Vladimir V. Semenov , Tatiana Vadivasova

Biological oscillators coordinate individual cellular components so that they function coherently and collectively. They are typically composed of multiple feedback loops, and period mismatch is unavoidable in biological implementations. We…

Biological Physics · Physics 2013-05-06 Yoshihiko Hasegawa , Masanori Arita

Numerous biological systems exhibit transitions to synchronised oscillations via a population-density-dependant mechanism known as quorum sensing. Here we propose a model system, based on spatially distributed limit-cycle oscillators, that…

Analysis of PDEs · Mathematics 2022-08-22 Carles Tardío Pi , Jorge Castillo Medina , Pablo Padilla Longoria

The synchronization between two dynamical systems is one of the most appealing phenomena occurring in Nature. Already observed by Huygens in the case of two pendula, it is a current area of research in the case of chaotic systems, with…

Chaotic Dynamics · Physics 2019-05-14 Guillermo Dávila , Antonio Morante , José A Vallejo

From rhythmic physiological processes to the collective behaviors of technological and natural networks, coherent phases of interacting oscillators are the foundation of the events' coordination leading a system to behave cooperatively. We…

Chaotic Dynamics · Physics 2016-11-15 H. Bi , X. Hu , S. Boccaletti , X. Wang , Y. Zou , Z. Liu , S. Guan

This paper investigates synchronization phenomena in networks of coupled oscillators governed by three-time-scale dynamical systems exhibiting canard dynamics. A mathematical framework has been developed to analyze the synchronization of…

Dynamical Systems · Mathematics 2025-05-28 Navojit Dhali Pallab

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

In this paper, we study a system of two Rossler oscillators coupled through a time-varying link, periodically switching between two values. We analyze the system behavior with respect to the frequency of the switching. By applying an…

We study synchronization in delay-coupled oscillator networks, using a master stability function approach. Within a generic model of Stuart-Landau oscillators (normal form of super- or subcritical Hopf bifurcation) we derive analytical…

Chaotic Dynamics · Physics 2015-05-14 Chol-Ung Choe , Thomas Dahms , Philipp Hoevel , Eckehard Schoell

We propose a method for detecting the presence of synchronization of self-sustained oscillator by external driving with linearly varying frequency. The method is based on a continuous wavelet transform of the signals of self-sustained…

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

We study the synchronization of Kuramoto oscillators with all-to-all coupling in the presence of slow, noisy frequency adaptation. In this paper we develop a new model for oscillators which adapt both their phases and frequencies. It is…

Statistical Mechanics · Physics 2015-05-13 Dane Taylor , Edward Ott , Juan G. Restrepo

We propose a remote phase sensing scheme inspired by the high sensitivity of the entanglement produced by coherent multimode photon addition on the phase set in the remote heralding apparatus. By exploring the case of delocalized photon…

Quantum Physics · Physics 2023-07-27 Nicola Biagi , Saverio Francesconi , Manuel Gessner , Marco Bellini , Alessandro Zavatta

In this letter we examine a model recently proposed to produce phase synchronization [K. Wood et al, Phys. Rev. Lett. 96, 145701 (2006)] and we show that the onset to synchronization corresponds to the emergence of an intermittent process…

Statistical Mechanics · Physics 2007-05-23 Simone Bianco , Elvis Geneston , Paolo Grigolini , Massimiliano Ignaccolo