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Systems of mobile physical entities exchanging information with their neighborhood can be found in many different situations. The understanding of their emergent cooperative behaviour has become an important issue across disciplines,…

软凝聚态物质 · 物理学 2017-03-15 Demian Levis , Ignacio Pagonabarraga , Albert Diaz-Guilera

The problem of synchronization of coupled Hamiltonian systems exhibits interesting features due to the non-uniform or mixed nature (regular and chaotic) of the phase space. We study these features by investigating the synchronization of…

混沌动力学 · 物理学 2017-05-26 Swetamber Das , Sasibhusan Mahata , Neelima Gupte

We study expanding circle maps interacting in a heterogeneous random network. Heterogeneity means that some nodes in the network are massively connected, while the remaining nodes are only poorly connected. We provide a probabilistic…

动力系统 · 数学 2013-08-27 Tiago Pereira , Sebastian van Strien , Jeroen S. W. Lamb

A model for traffic flow in street networks or material flows in supply networks is presented, that takes into account the conservation of cars or materials and other significant features of traffic flows such as jam formation, spillovers,…

流体动力学 · 物理学 2016-08-14 Dirk Helbing , Jan Siegmeier , Stefan Lämmer

Traffic dynamics on single or isolated complex networks has been extensively studied in the past decade. Recently, several coupled network models have been developed to describe the interactions between real-world networked systems. In a…

物理与社会 · 物理学 2017-12-12 Jiajing Wu , Jian Zhong , Zhenhao Chen

We consider an ensemble of coupled oscillators whose individual states, in addition to the phase, are characterized by an internal variable with autonomous evolution. The time scale of this evolution is different for each oscillator, so…

统计力学 · 物理学 2009-11-10 Damian H. Zanette , Alexander S. Mikhailov

Adaptive dynamical networks are ubiquitous in real-world systems. This paper aims to explore the synchronization dynamics in networks of adaptive oscillators based on a paradigmatic system of adaptively coupled phase oscillators. Our…

适应与自组织系统 · 物理学 2024-09-16 Mengke Wei , Andreas Amann , Oleksandr Burylko , Xiujing Han , Serhiy Yanchuk , Jürgen Kurths

In large groups, every collaborative act requires balancing two pressures: the need to achieve behavioural synchrony and the need to keep free riding to a minimum. This paper introduces a model of collaboration that requires both…

社会与信息网络 · 计算机科学 2023-09-06 Tamas David-Barrett

We investigate numerically the dynamics of traveling clusters in systems of phase oscillators, some of which possess positive couplings and others negative couplings. The phase distribution, speed of traveling, and average separation…

适应与自组织系统 · 物理学 2015-06-22 J. Choi , M. Y. Choi , B. -G. Yoon

Finding the conditions that foster synchronization in networked oscillatory systems is critical to understanding a wide range of biological and mechanical systems. However, the conditions proved in the literature for synchronization in…

系统与控制 · 计算机科学 2018-05-09 Zahra Aminzare , Biswadip Dey , Elizabeth N. Davison , Naomi Ehrich Leonard

The communication networks in real world often couple with each other to save costs, which results in any network does not have a stand-alone function and efficiency. To investigate this, in this paper we propose a transportation model on…

物理与社会 · 物理学 2016-12-19 Ming Li , Mao-Bin Hu , Bing-Hong Wang

We propose that the coronal magnetic field, linking concentrations on the photosphere through an interwoven web of flux, embodies a scale-free network. It arises from a self-organized critical dynamics including flux emergence, the…

天体物理学 · 物理学 2007-05-23 David Hughes , Maya Paczuski

We investigate the structural organization of the point-to-point electric, diffusive or hydraulic transport in complex scale-free networks. The random choice of two nodes, a source and a drain, to which a potential difference is applied,…

We present an approach which enables to state about the existence of phase synchronization in coupled chaotic oscillators without having to measure the phase. This is done by observing the oscillators at special times, and analyzing whether…

统计力学 · 物理学 2009-11-13 T. Pereira , M. S. Baptista , J. Kurths

We study synchronization properties of general uncoupled limit-cycle oscillators driven by common and independent Gaussian white noises. Using phase reduction and averaging methods, we analytically derive the stationary distribution of the…

适应与自组织系统 · 物理学 2007-05-23 Hiroya Nakao , Kensuke Arai , Yoji Kawamura

We investigate front propagation and synchronization transitions in dependence on the information transmission delay and coupling strength over scale-free neuronal networks with different average degrees and scaling exponents. As the…

无序系统与神经网络 · 物理学 2009-08-19 Qingyun Wang , Matjaz Perc , Zhisheng Duan , Guanrong Chen

Different collective behaviors emerging from the unknown have been examined in networks of mobile agents in recent years. Mobile systems, far from being limited to modeling and studying various natural and artificial systems in motion and…

Recent studies on the complex systems have shown that the synchronization of oscillators including neuronal ones is faster, stronger, and more efficient in the small-world networks than in the regular or the random networks, and many…

无序系统与神经网络 · 物理学 2007-05-23 Chang-Woo Shin , Seunghwan Kim

We study a class of globally coupled maps in the continuum limit, where the individual maps are expanding maps of the circle. The circle maps in question are such that the uncoupled system admits a unique absolutely continuous invariant…

动力系统 · 数学 2022-09-22 Péter Bálint , Gerhard Keller , Fanni M. Sélley , Imre Péter Tóth

In many real-world systems, partial synchronization is the dominant dynamical regime and, in systems such as the brain, is often accompanied by collective oscillations in which multiple overlapping modes interact to produce complex rhythmic…

适应与自组织系统 · 物理学 2026-03-03 Ali Seif , Mina Zarei
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