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Related papers: Synchronisation zweier Labialpfeifen

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The stability of synchronization state in networks of oscillators are studied under the assumption that oscillators and their couplings have slightly mismatched parameters. A generalized master stability function is provided that takes the…

Dynamical Systems · Mathematics 2014-07-29 Saeed Manaffam , Alireza Seyedi

We consider a system of identical van der Pol oscillators, globally coupled through their velocities, and study how the presence of competitive interactions affects its synchronisation properties. We will address the question from two…

Statistical Mechanics · Physics 2011-11-03 Teresa Vaz Martins , Raúl Toral

From the flashes of fireflies to Josephson junctions and power infrastructure, networks of coupled phase oscillators provide a powerful framework to describe synchronization phenomena in many natural and engineered systems. Most real-world…

Adaptation and Self-Organizing Systems · Physics 2022-03-02 Sherwood Martineau , Tim Saffold , Timothy T. Chang , Henrik Ronellenfitsch

This study investigates remote synchronization in arbitrary network clusters of coupled nonlinear oscillators, a phenomenon inspired by neural synchronization in the brain. Employing a multi-faceted approach encompassing analytical,…

Systems and Control · Electrical Eng. & Systems 2025-05-01 Sanjeev Kumar Pandey , Neetish Patel

Two decades ago, a phenomenon resembling Landau damping was described in the synchronization of globally coupled oscillators: the evidence of a regime where the order parameter decays when linear theory predicts neutral stability for the…

Chaotic Dynamics · Physics 2015-07-21 Tian Qiu , Yue Zhang , Jie Liu , Hongjie Bi , S. Boccaletti , Zonghua Liu , Shuguang Guan

In this paper, we investigate synchronization of coupled second-order linear harmonic oscillators with random noises and time delays. The interaction topology is modeled by a weighted directed graph and the weights are perturbed by white…

Data Analysis, Statistics and Probability · Physics 2009-09-29 Yilun Shang

Synchronization and emergence of a collective mode is a general phenomenon, frequently observed in ensembles of coupled self-sustained oscillators of various natures. In several circumstances, in particular in cases of neurological…

Adaptation and Self-Organizing Systems · Physics 2015-06-16 Ghazal Montaseri , Mohammad Javad Yazdanpanah , Arkady Pikovsky , Michael Rosenblum

A model for synchronization of globally coupled phase oscillators including ``inertial'' effects is analyzed. In such a model, both oscillator frequencies and phases evolve in time. Stationary solutions include incoherent (unsynchronized)…

Condensed Matter · Physics 2009-10-31 J. A. Acebron , L. L. Bonilla , R. Spigler

In the circuit of two thermally coupled VO2 oscillators, we studied a higher order synchronization effect, which can be used in object classification techniques to increase the number of possible synchronous states of the oscillator system.…

Neural and Evolutionary Computing · Computer Science 2020-07-30 Andrei Velichko , Vadim Putrolaynen , Maksim Belyaev

Synchronization has great impacts in various fields such as self-clocking, communication, neural networks, etc. Here we present a mechanism of synchronization for two mechanical modes in two coupled optomechanical resonators by introducing…

Optics · Physics 2020-04-07 Chang-long Zhu , Yu-long Liu , Lan Yang , Yu-xi Liu , Jing Zhang

Synchronization occurs ubiquitously in nature. The van der Pol oscillator has been a favorite model to investigate synchronization. Here we study the oscillator in the deep quantum regime, where nonclassical effects dominate the dynamics.…

Quantum Physics · Physics 2020-09-23 Wai Keong Mok , Leong Chuan Kwek , Hermanni Heimonen

Synchronization of forced reactively coupled van der Pol oscillators is investigated in the phase approximation. We discuss essential features of the reactive coupling. Bifurcation mechanisms for the destruction of complete synchronization…

Chaotic Dynamics · Physics 2015-03-11 A. P. Kuznetsov , L. V. Turukina , N. Yu. Chernyshov , Yu. V. Sedova

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…

In our earlier studies, we found the effect of non-conventional synchronization, which is a specific type of nonlinear stable beating in the system of two weakly coupled autogenerators with hard excitation given by generalized van der…

Chaotic Dynamics · Physics 2018-02-14 Margarita Kovaleva , Leonid Manevitch , Valery Pilipchuk

While the stochastic dynamics of two coupled oscillators have been extensively studied, most of the research has focused on stochastic input with equal intensity. However, this is often not the case in biological systems. In this study, we…

Dynamical Systems · Mathematics 2023-03-02 Gurpreet Jagdev , Na Yu

Nonlinear isolated and coupled oscillators are extensively studied as prototypical nonlinear dynamics models. Much attention has been devoted to oscillator synchronization or the lack thereof. Here, we study the synchronization and…

Pattern Formation and Solitons · Physics 2023-01-04 Golan Bel , Boian S. Alexandrov , Alan R. Bishop , Kim Ø. Rasmussen

Noise is expected to play an important role in the dynamics of analog systems such as coupled oscillators which have recently been explored as a hardware platform for application in computing. In this work, we experimentally investigate the…

Emerging Technologies · Computer Science 2021-01-12 Jaykumar Vaidya , Mohammad Khairul Bashar , Nikhil Shukla

We consider a one-dimensional directional array of diffusively coupled oscillators. They are perturbed by the injection of a small additive noise, typically orders of magnitude smaller than the oscillation amplitude, and the system is…

Disordered Systems and Neural Networks · Physics 2019-01-09 Clement Zankoc , Duccio Fanelli , Francesco Ginelli , Roberto Livi

The nonadiabatic electron-phonon corrections for the superconducting pairing are investigated for a specific tight-binding model corresponding to a 2d square lattice. This permits to investigate the role of various specific properties like…

Superconductivity · Physics 2009-10-31 A. Perali , C. Grimaldi , L. Pietronero

We investigate the effects of heterogeneous delays in the coupling of two excitable neural systems. Depending upon the coupling strengths and the time delays in the mutual and self-coupling, the compound system exhibits different types of…

Adaptation and Self-Organizing Systems · Physics 2015-06-05 Anastasiia Panchuk , David P. Rosin , Philipp Hövel , Eckehard Schöll