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This paper gives sufficient conditions for having complete synchronization of oscillators in connected undirected networks. The considered oscillators are not necessarily identical and the synchronization terms can be nonlinear. An…

动力系统 · 数学 2011-10-24 Sébastien Orange , Nathalie Verdière

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…

混沌动力学 · 物理学 2019-07-16 Ivan A. Korneev , Vladimir V. Semenov , Tatiana E. Vadivasova

Synchronization of neurons forming a network with a hierarchical structure is essential for the brain to be able to function optimally. In this paper we study synchronization of phase oscillators on the most basic example of such a network,…

无序系统与神经网络 · 物理学 2019-07-29 Diego Garlaschelli , Frank den Hollander , Janusz Meylahn , Benthen Zeegers

Oscillatory activity is ubiquitous in natural and engineered network systems. The interaction scheme underlying interdependent oscillatory components governs the emergence of network-wide patterns of synchrony that regulate and enable…

适应与自组织系统 · 物理学 2022-08-12 Tommaso Menara , Giacomo Baggio , Danielle S. Bassett , Fabio Pasqualetti

We study a Kuramoto model in which the oscillators are associated with the nodes of a complex network and the interactions include a phase frustration, thus preventing full synchronization. The system organizes into a regime of remote…

适应与自组织系统 · 物理学 2013-04-30 Vincenzo Nicosia , Miguel Valencia , Mario Chavez , Albert Díaz-Guilera , Vito Latora

For general networks of pulse-coupled oscillators, including regular, random, and more complex networks, we develop an exact stability analysis of synchronous states. As opposed to conventional stability analysis, here stability is…

无序系统与神经网络 · 物理学 2009-11-07 Marc Timme , Fred Wolf , Theo Geisel

In the study of network synchronization, an outstanding question of both theoretical and practical significance is how to allocate a given set of heterogenous oscillators on a complex network in order for improving the synchronization…

适应与自组织系统 · 物理学 2023-03-08 Liang Wang , Huawei Fan , Yafeng Wang , Jian Gao , Yueheng Lan , Jinghua Xiao , Xingang Wang

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…

适应与自组织系统 · 物理学 2022-03-02 Sherwood Martineau , Tim Saffold , Timothy T. Chang , Henrik Ronellenfitsch

Synchronization transmission describes the emergence of coherence between two uncoupled oscillators mediated by their mutual coupling to an intermediate one. In classical star networks, such mediated coupling gives rise to remote…

量子物理 · 物理学 2026-03-04 Shuo Dai , Ran Qi

Synchronization is one of the paradigmatic phenomena in the study of complex systems. It has been explored theoretically and experimentally mostly to understand natural phenomena, but also in view of technological applications. Although…

Synchronization of coupled oscillators is a fundamental phenomenon that has been observed in many natural and engineered systems, ranging from biological cells to electronic circuits. In recent years, spin torque nano-oscillators (STNOs)…

介观与纳米尺度物理 · 物理学 2024-08-22 Fangzhou Ai , Vitaliy Lomakin

Coupled oscillator-based networks are an attractive approach for implementing hardware neural networks based on emerging nanotechnologies. However, the readout of the state of a coupled oscillator network is a difficult challenge in…

新兴技术 · 计算机科学 2016-07-08 Damir Vodenicarevic , Nicolas Locatelli , Julie Grollier , Damien Querlioz

Oscillation synchronization phenomenon is widely observed in natural systems through frequency modulated signals, especially in biological neural networks. Frequency modulation is also one of most widely used technologies in engineering.…

最优化与控制 · 数学 2021-08-17 Zhiyong Chen

We derive simple conditions for the stability or instability of the synchronized oscillation of a class of networks of coupled phase-oscillators, which includes many of the systems used in neural modelling.

斑图形成与孤子 · 物理学 2007-05-23 Guy Katriel

We experimentally demonstrate group synchrony in a network of four nonlinear optoelectronic oscillators with time-delayed coupling. We divide the nodes into two groups of two each, by giving each group different parameters and by enabling…

We study cluster synchronization in networks and show that the stability of all possible cluster synchronization patterns depends on a small set of Lyapunov exponents. Our approach can be applied to clusters corresponding to both orbital…

混沌动力学 · 物理学 2018-04-26 Abu Bakar Siddique , Louis Pecora , Joe Hart , Francesco Sorrentino

The stability (or instability) of synchronization is important in a number of real world systems, including the power grid, the human brain and biological cells. For identical synchronization, the synchronizability of a network, which can…

混沌动力学 · 物理学 2018-04-17 Jeremie Fish , Jie Sun

Many network applications rely on the synchronization of coupled oscillators. For example, such synchronization can provide networked devices with a common temporal reference necessary for coordinating actions or decoding transmitted…

最优化与控制 · 数学 2014-05-27 Enrique Mallada , Randy A. Freeman , Ao Tang

Weakly coupled oscillators are used throughout the physical sciences, particularly in mathematical neuroscience to describe the interaction of neurons in the brain. Systems of weakly coupled oscillators have a well-known decomposition to a…

动力系统 · 数学 2019-09-30 Jason Bramburger

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