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We investigate the phenomenon of first order transition (explosive synchronization (ES)) in adaptively coupled phase-frustrated bi-layer multiplex network. We consider Sakaguchi-Kuramoto (SK) dynamics over the top of multiplex networks and…

适应与自组织系统 · 物理学 2018-12-03 Pitambar Khanra , Prosenjit Kundu , Chittaranjan Hens , Pinaki Pal

Explosive synchronization (ES) of coupled oscillators on networks is shown to be originated from existence of correlation between natural frequencies of oscillators and degrees of corresponding nodes. Here, we demonstrate that ES is a…

物理与社会 · 物理学 2017-12-19 Ajay Deep Kachhvah , Sarika Jalan

We show that an introduction of a phase parameter ($\alpha$), with $0 \le \alpha \le \pi/2$, in the interlayer coupling terms of multiplex networks of Kuramoto oscillators can induce explosive synchronization (ES) in the multiplexed layers.…

适应与自组织系统 · 物理学 2021-04-21 Anil Kumar , Sarika Jalan

Explosive synchronization (ES) is nowadays a hot topic of interest in nonlinear science and complex networks. So far, it is conjectured that ES is rooted in the setting of specific microscopic correlation features between the natural…

物理与社会 · 物理学 2015-06-23 Xiyun Zhang , Stefano Boccaletti , Shuguang Guan , Zonghua Liu

The emergence of explosive synchronization has been reported as an abrupt transition in complex networks of first-order Kuramoto oscillators. In this Letter, we demonstrate that the nodes in a second-order Kuramoto model, perform a cascade…

适应与自组织系统 · 物理学 2015-06-15 Peng Ji , Thomas K. DM. Peron , Peter J. Menck , Francisco A. Rodrigues , Jürgen Kurths

We investigate transition to synchronization in Sakaguchi-Kuramoto (SK) model on complex networks analytically as well as numerically. Natural frequencies of a percentage ($f$) of higher degree nodes of the network are assumed to be…

适应与自组织系统 · 物理学 2019-02-20 Prosenjit Kundu , Pinaki Pal

Explosive synchronization refers to an abrupt (first order) transition to non-zero phase order parameter in oscillatory networks, underpinned by the bistability of synchronous and asynchronous states. Growing evidence suggests that this…

混沌动力学 · 物理学 2023-11-20 Tetyana Laptyeva , Sarika Jalan , Mikhail Ivanchenko

We study the emergence of synchronization in scale-free networks by considering the Kuramoto model of coupled phase oscillators. The natural frequencies of oscillators are assumed to be correlated with their degrees and a time delay is…

统计力学 · 物理学 2012-03-07 Thomas Kauê Dal'Maso Peron , Francisco Aparecido Rodrigues

In this paper we explore the emergence of explosive synchronization (ES) in a star network by considering the dynamics of coupled phase oscillators in the presence of noise. While ES has been the subject of many recent studies, in most…

适应与自组织系统 · 物理学 2023-10-11 Ruby Varshney , Haider Hasan Jafri

Nowadays, explosive synchronization is a well documented phenomenon occurring in networks when the node frequency and its degree are correlated. This first-order transition, which may coexists with classical synchronization, has been…

物理与社会 · 物理学 2023-05-17 Manuel Miranda , Mattia Frasca , Ernesto Estrada

It is known that explosive synchronization (ES) in an isolated network of Kuramoto oscillators with inertia is significantly enhanced by the presence of time delay. Here we show that time delay in one layer of the multiplex network governs…

适应与自组织系统 · 物理学 2019-02-20 Ajay Deep Kachhvah , Sarika Jalan

Networks of Kuramoto oscillators with a positive correlation between the oscillators frequencies and the degree of the their corresponding vertices exhibits the so-called explosive synchronization behavior, which is now under intensive…

适应与自组织系统 · 物理学 2015-03-02 Rafael S. Pinto , Alberto Saa

Correlations between intrinsic dynamics and local topology have become a new trend in the study of synchronization in complex networks. In this paper, we investigate in this paradigm the influence of topology on dynamics of networks made up…

混沌动力学 · 物理学 2015-06-18 Peng Ji , Thomas K. DM. Peron , Francisco A. Rodrigues , Jürgen Kurths

We present a comparative study on Explosive Synchronization (ES) in temporal networks consisting of phase oscillators. The temporal nature of the networks is modeled with two configurations: (1) oscillators are allowed to move in a closed…

适应与自组织系统 · 物理学 2021-02-03 Tanu Singla , M. Rivera

To date, explosive synchronization (ES) is shown to be originated from either degree-frequency correlation or inertia of phase oscillators. Of late, it has been shown that ES can be induced in a network by adaptively controlled phase…

适应与自组织系统 · 物理学 2019-06-19 Sarika Jalan , Vasundhara Rathore , Ajay Deep Kachhvah , Alok Yadav

Explosive synchronization(ES), as one kind of abrupt dynamical transition in nonlinearly coupled systems, is currently a subject of great interests. Given a special frequency distribution, a mixed ES is observed in a ring of coupled phase…

混沌动力学 · 物理学 2019-04-16 Wei Chen , Weiqing Liu , Yueheng Lan , Jinghua Xiao

Bursting neurons fire rapid sequences of action potential spikes followed by a quiescent period. The basic dynamical mechanism of bursting is the slow currents that modulate a fast spiking activity caused by rapid ionic currents. Minimal…

混沌动力学 · 物理学 2015-02-16 Fabiano A. S. Ferrari , Ricardo L. Viana , Sérgio R. Lopes , Ruedi Stoop

The synchronization phenomenon is ubiquitous in nature. In ensembles of coupled oscillators, explosive synchronization is a particular type of transition to phase synchrony that is first-order as the coupling strength increases. Explosive…

适应与自组织系统 · 物理学 2020-01-23 Inmaculada Leyva , Cristina Masoller

Explosive synchronization can be observed in scale-free networks when Kuramoto oscillators have natural frequencies equal to their number of connections. In the current work, we took into account mean-field approximations to determine the…

统计力学 · 物理学 2012-04-24 Thomas Kauê Dal'Maso Peron , Francisco Aparecido Rodrigues

We present an adaptive coupling strategy to induce hysteresis/explosive synchronization (ES) in complex networks of phase oscillators Sakaguchi-Kuramoto model). The coupling strategy ensures explosive synchronization with significant…

适应与自组织系统 · 物理学 2021-04-15 Pitambar Khanra , Prosenjit Kundu , Pinaki Pal , Peng Ji , Chittaranjan Hens
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