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We present an approach for reconstructing networks of pulse-coupled neuron-like oscillators from passive observation of pulse trains of all nodes. It is assumed that units are described by their phase response curves and that their phases…

适应与自组织系统 · 物理学 2017-07-19 Rok Cestnik , Michael Rosenblum

Synchronization commonly occurs in many natural and man-made systems, from neurons in the brain to cardiac cells to power grids to Josephson junction arrays. Transitions to or out of synchrony for coupled oscillators depend on several…

适应与自组织系统 · 物理学 2018-05-10 Hui Wu , Mukesh Dhamala

We consider anti-phase synchronization of coupled oscillators using the Stuart-Landau model and explore its relative infrequency in occurrence compared to in-phase synchronization. We report effective limits in number of oscillators which…

适应与自组织系统 · 物理学 2020-06-24 George Vathakkattil Joseph , Vikram Pakrashi

Synchronization in systems of coupled Kuramoto oscillators may depend on their natural frequencies, coupling, and underlying networks. In this paper, we reduce the alternatives to only one by considering identical oscillators where the only…

适应与自组织系统 · 物理学 2019-11-11 Yury Sokolov , G. Bard Ermentrout

We introduce a model to study the effect of degree-frequency correlations on synchronization in networks of coupled oscillators. Analyzing this model, we find several remarkable characteristics. We find a stationary synchronized state that…

适应与自组织系统 · 物理学 2013-01-29 Per Sebastian Skardal , Jie Sun , Dane Taylor , Juan G. Restrepo

We investigate phase synchronization between two identical or detuned response oscillators coupled to a slightly different drive oscillator. Our result is that phase synchronization can occur between response oscillators when they are…

混沌动力学 · 物理学 2009-11-10 Dae-Sic Lee , Won-Ho Kye , Sunghwan Rim , Tae-Yoon Kwon , Chil-Min Kim

We study dynamics of phase-differences (PDs) of coupled oscillators where both the intrinsic frequencies and the couplings vary in time. In case the coupling coefficients are all nonnegative, we prove that the PDs are asymptotically stable…

动力系统 · 数学 2018-06-15 Wenlian Lu , Fatihcan M. Atay

We investigate topological and spectral properties of models of European and US-American power grids and of paradigmatic network models as well as their implications for the synchronization dynamics of phase oscillators with heterogeneous…

物理与社会 · 物理学 2024-03-29 Max Potratzki , Timo Bröhl , Thorsten Rings , Klaus Lehnertz

An excitable semiconductor micropillar laser with delayed optical feedback is able to regenerate pulses by the excitable response of the laser. It has been shown that almost any pulse sequence can, in principle, be excited and regenerated…

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…

适应与自组织系统 · 物理学 2009-11-10 Ernest Montbrió , Jürgen Kurths , Bernd Blasius

Synchronization in networks with delayed coupling are ubiquitous in nature and play a key role in almost all fields of science including physics, biology, ecology, climatology and sociology. In general, the published works on network…

光学 · 物理学 2013-05-30 Micha Nixon , Moti Fridman , Eitan Ronen , Asher A. Friesem , Nir Davidson , Ido Kanter

Motivated by recent observations in neuronal systems we investigate all-to-all networks of non-identical oscillators with adaptive coupling. The adaptation models spike-timing-dependent plasticity in which the sum of the weights of all…

适应与自组织系统 · 物理学 2013-05-29 Clara B. Picallo , Hermann Riecke

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…

混沌动力学 · 物理学 2015-03-11 A. P. Kuznetsov , L. V. Turukina , N. Yu. Chernyshov , Yu. V. Sedova

Cluster synchronization in synthetic networks of coupled chaotic oscillators is investigated. It is found that despite the asymmetric nature of the network structure, a subset of the oscillators can be synchronized as a cluster while the…

适应与自组织系统 · 物理学 2024-05-16 Huawei Fan , Yafeng Wang , Yao Du , Haibo Qiu , Xingang Wang

Abrupt changes of behaviour in complex networks can be triggered by a single node. This work describes the dynamical fundamentals of how the behaviour of one node affects the whole network formed by coupled phase-oscillators with…

适应与自组织系统 · 物理学 2015-12-14 Chengwei Wang , Celso Grebogi , Murilo S. Baptista

Experimental studies of synchronization properties on networks with controlled connection topology can provide powerful insights into the physics of complex networks. Here, we report experimental results on the influence of connection…

混沌动力学 · 物理学 2011-07-28 Bhargava Ravoori , Adam B. Cohen , Jie Sun , Adilson E. Motter , Thomas E. Murphy , Rajarshi Roy

We examine the dynamics of an ensemble of phase oscillators that are divided in $k$ sets, with time-delayed coupling interactions {\em only} between oscillators in different sets or partitions. The network of interactions thus form a…

混沌动力学 · 物理学 2022-03-23 Joydeep Singha , Ramakrishna Ramaswamy

We study a system of coupled oscillators of the Sakaguchi-Kuramoto type with interactions including a phase delay. We consider the case of a coupling matrix such that oscillators with large natural frequencies drive all slower ones but not…

适应与自组织系统 · 物理学 2024-10-28 Leonard M. Sander

Two oscillators coupled to a two-level system which in turn is coupled to an infinite number of oscillators (reservoir) are considered, bringing to light the occurrence of synchronization. A detailed analysis clarifies the physical…

量子物理 · 物理学 2017-09-13 B. Militello , H. Nakazato , A. Napoli

A network of delay-coupled logistic maps exhibits two different synchronization regimes, depending on the distribution of the coupling delay times. When the delays are homogeneous throughout the network, the network synchronizes to a…

适应与自组织系统 · 物理学 2011-05-31 Cristina Masoller , Fatihcan M. Atay
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