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Related papers: Synchronization of coupled stick-slip oscillators

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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…

Chaotic Dynamics · Physics 2015-06-26 A. A. Koronovskii , A. E. Hramov , I. A. Khromova

We consider optimization of linear stability of synchronized states between a pair of weakly coupled limit-cycle oscillators with cross coupling, where different components of state variables of the oscillators are allowed to interact. On…

Adaptation and Self-Organizing Systems · Physics 2017-08-02 Sho Shirasaka , Nobuhiro Watanabe , Yoji Kawamura , Hiroya Nakao

We study the phenomenon of synchronization in pairs of doubly clamped, mechanically coupled silicon micro-oscillators. A continuous-wave laser beam is used to drive the micro-beams into limit cycle oscillations and to detect the…

Pattern Formation and Solitons · Physics 2022-12-27 Aditya Bhaskar , Mark Walth , Richard H. Rand , Alan T. Zehnder

The behaviors of coupled oscillators, each of which has periodic motion with random natural frequency in the absence of coupling, are investigated. Some novel collective phenomena are revealed. At the onset of instability of the…

chao-dyn · Physics 2009-10-31 Zhigang Zheng , Gang Hu , Bambi Hu

This paper presents mathematical modeling and numerical analysis of bifurcation and synchronization phenomena in a system of coupled oscillators driven by a finite-power energy source and generating two-dimensional stick-slip…

We report the observation of a novel and non-trivial synchronization state in a system consisting of three oscillators coupled in a linear chain. For certain ranges of coupling strength the weakly coupled oscillator pair exhibits phase…

Optimization of mutual synchronization between a pair of limit-cycle oscillators with weak symmetric coupling is considered in the framework of the phase reduction theory. By generalizing a previous study on the optimization of…

Adaptation and Self-Organizing Systems · Physics 2019-10-09 Nobuhiro Watanabe , Yuzuru Kato , Sho Shirasaka , Hiroya Nakao

We analyze synchronization between two interacting populations of different phase oscillators. For the important case of asymmetric coupling functions, we find a much richer dynamical behavior compared to that of symmetrically coupled…

Adaptation and Self-Organizing Systems · Physics 2009-11-10 Ernest Montbrió , Jürgen Kurths , Bernd Blasius

We investigate a system of four nearest neighbour bidirectional coupled phase oscillators of dissimilar initial frequencies in a ring at the changeover into a synchronizing state. There are twenty four permutations upon assigning the…

Adaptation and Self-Organizing Systems · Physics 2023-03-23 Hassan F. El-Nashar , M. S. Mahmoud , M. Medhat

We introduce a simple model system to study synchronization theoretically in quantum oscillators that are not just in limit-cycle states, but rather display a more complex bistable dynamics. Our oscillator model is purely dissipative, with…

Quantum Physics · Physics 2020-03-04 Matthew R. Jessop , Weibin Li , Andrew D. Armour

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…

Adaptation and Self-Organizing Systems · Physics 2007-06-13 H. Nakao , K. Arai , K. Nagai , Y. Tsubo , Y. Kuramoto

In a quasi-1D thermal convective system consisting of a large array of nonlinearly coupled oscillators, clustering is the way to achieve a regime of mostly antiphase synchronized oscillators. This regime is characterized by a spatiotemporal…

Chaotic Dynamics · Physics 2011-03-10 M. A. Miranda , J. Burguete

When a driven oscillator loses phase-locking to a master oscillator via a Hopf bifurcation, it enters a bounded-phase regime in which its average frequency is still equal to the master frequency, but its phase displays temporal…

Optics · Physics 2014-04-24 Marco Romanelli , Lihua Wang , Marc Brunel , Marc Vallet

The question under which conditions oscillators with slightly different frequencies synchronize appears in various settings. We show that synchronization can be achieved even for harmonic oscillators that are bilinearly coupled via a purely…

Chaotic Dynamics · Physics 2023-02-01 Juan N. Moreno , Christopher W. Wächtler , Alexander Eisfeld

Synchronization of stochastic phase-coupled oscillators is known to occur but difficult to characterize because sufficiently complete analytic work is not yet within our reach, and thorough numerical description usually defies all…

Statistical Mechanics · Physics 2009-11-11 Kevin Wood , C. Van den Broeck , R. Kawai , Katja Lindenberg

We study the synchronization of $N$ nearest neighbors coupled oscillators in a ring. We derive an analytic form for the phase difference among neighboring oscillators which shows the dependency on the periodic boundary conditions. At…

Chaotic Dynamics · Physics 2015-05-27 Hassan F. El-Nashar , Hilda A. Cerdeira

We report mixed lag synchronization in coupled counter-rotating oscillators. The trajectories of counter-rotating oscillators has opposite directions of rotation in uncoupled state. Under diffusive coupling via a scalar variable, a mixed…

Chaotic Dynamics · Physics 2013-10-08 Sourav K. Bhowmick , Dibakar Ghosh , Syamal K. Dana

A density oscillator is a fluid system in which oscillatory flow occurs between different density fluids through the pore connecting them. We investigate the synchronization in coupled density oscillators using two-dimensional hydrodynamic…

Pattern Formation and Solitons · Physics 2023-03-27 Nana Takeda , Hiroaki Ito , Hiroyuki Kitahata

This study investigates the synchronization dynamics of coupled-oscillator systems in which some of the oscillators are damaged and lose their autonomous oscillations. The damaged elements are modeled using damped oscillators; thus, the…

Adaptation and Self-Organizing Systems · Physics 2025-11-18 Shota Inagawa , Hiroki Hata , Shigefumi Hata

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…

Chaotic Dynamics · Physics 2024-08-14 Erik T. K. Mau , Michael Rosenblum
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