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We study the onset of synchronization in lattices of limit cycle oscillators with long-range coupling by means of numerical simulations. In this regime the critical coupling strength depends on the system size and interaction range…

Statistical Mechanics · Physics 2009-11-07 M. S. O. Massunaga , M. Bahiana

A procedure is developed and tested to enforce synchronicity in a family of Stuart-Landau oscillators, coupled through a symmetric network. The proposed method exploits network plasticity, as an inherent non autonomous drive. More…

Adaptation and Self-Organizing Systems · Physics 2020-02-19 Claudio Pereti , Duccio Fanelli

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

The property of desynchronization in an all-to-all network of homogeneous impulse-coupled oscillators is studied. Each impulse-coupled oscillator is modeled as a hybrid system with a single timer state that self-resets to zero when it…

Dynamical Systems · Mathematics 2015-03-31 Sean Phillips , Ricardo G. Sanfelice

In this article we study the behavior of globally coupled assemblies of a large number of Integrate and Fire oscillators with excitatory pulse-like interactions. On some simple models we show that the additive effects of pulses on the state…

Condensed Matter · Physics 2009-10-28 Samuele Bottani

We have proposed a method to synchronize multiple spin-transfer torque oscillators based on spin pumping, inverse spin Hall, and spin Hall effects. The proposed oscillator system consists of a series of nano-magnets in junction with a…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Mehrdad Elyasi , Charanjit S. Bhatia , Hyunsoo Yang

We investigate the existence of an optimal interplay between the natural frequencies of a group chaotic oscillators and the topological properties of the network they are embedded in. We identify the conditions for achieving phase…

Adaptation and Self-Organizing Systems · Physics 2017-01-13 Per Sebastian Skardal , Ricardo Sevilla-Escoboza , Victor Vera-Ávila , Javier Martín Buldú

We analyze quasiperiodic partially synchronous states in an ensemble of Stuart-Landau oscillators with global nonlinear coupling. We reveal two types of such dynamics: in the first case the time-averaged frequencies of oscillators and of…

Chaotic Dynamics · Physics 2017-03-01 Michael Rosenblum , Arkady Pikovsky

Synchronization is a fundamental phenomenon in dynamical systems, occurring in a wide range of contexts such as mechanical, chemical, biological, and social systems. In this work, we explore a novel manifestation of synchronization in…

Adaptation and Self-Organizing Systems · Physics 2026-02-09 C. Evain , A. -A. Diallo , E. Roussel , C. Szwaj , M. Herda , M. -A. Tordeux , F. Ribeiro , M. Labat , N. Hubert , J. -B. Brubach , P. Roy , S. Bielawski

We study the onset of synchronization in square lattices of limit cycle oscillators with long-range coupling by means of numerical simulations of the Kuramoto model. In this regime the critical coupling strength depends on the system size…

Statistical Mechanics · Physics 2007-05-23 M. Bahiana , M. S. O. Massunaga

In scenarios where synchronous generators (SGs) and grid-following renewable energy sources (GFLR) are co-located, existing research, which mainly focuses on the first-swing stability of SGs, often overlooks ongoing dynamic interactions…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Bingfang Li , Songhao Yang , Guosong Wang , Yiwen Hu , Xu Zhang , Zhiguo Hao , Dongxu Chang , Baohui Zhang

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…

A model of two self-sustained oscillators interacting through memristive coupling is studied. Memristive coupling is realized by using a cubic memristor model. Numerical simulation is combined with theoretical analysis by means of…

Chaotic Dynamics · Physics 2019-07-16 Ivan A. Korneev , Vladimir V. Semenov , Tatiana E. Vadivasova

Synchronization of coupled harmonic oscillators is investigated. Coupling considered here is pairwise, unidirectional, and described by a nonlinear function (whose graph resides in the first and third quadrants) of some projection of the…

Dynamical Systems · Mathematics 2009-08-04 S. Emre Tuna

A non-autonomous dynamical system is proposed to study the synchronization in networks of mutually coupled optically modulated hyperchaotic CO$_2$ lasers. By the method of master stability function (MSF) it is shown that the stable…

Adaptation and Self-Organizing Systems · Physics 2020-01-27 A. Roy , A. P. Misra , S. Banerjee

A long-standing expectation is that two repulsively coupled oscillators tend to oscillate in opposite directions. It has been difficult to achieve complete synchrony in coupled identical oscillators with purely repulsive coupling. Here, we…

Chaotic Dynamics · Physics 2023-01-18 Simin Mirzaei , Md Sayeed Anwar , Fatemeh Parastesh , Sajad Jafari , Dibakar Ghosh

We have simulated the non-linear dynamics of networks of spin-transfer oscillators. The oscillators are magnetically uncoupled but electrically connected in series. We use a modified Landau-Lifschitz- Gilbert equation to describe the motion…

Materials Science · Physics 2009-11-11 J. Grollier , V. Cros , A. Fert

Two types of synchronization, Achronal Synchronization and Isochronous synchronization are investigated numerically when unidirectionally coupled laser systems are considered both on fast and slow dynamics by studying the correlation…

Chaotic Dynamics · Physics 2009-11-11 Liang Wu , Shiqun Zhu , Juan Li

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

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…

Adaptation and Self-Organizing Systems · Physics 2023-03-31 Jeremy Worsfold , Tim Rogers