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It is known that intra-layer adaptive coupling among connected oscillators instigates explosive synchronization (ES) in multilayer networks. Taking an altogether different cue in the present work, we consider inter-layer adaptive coupling…

Adaptation and Self-Organizing Systems · Physics 2020-07-01 Anil Kumar , Ajay Deep Kachhvah , Sarika Jalan

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…

Physics and Society · Physics 2017-12-19 Ajay Deep Kachhvah , Sarika Jalan

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…

Adaptation and Self-Organizing Systems · Physics 2021-04-15 Pitambar Khanra , Prosenjit Kundu , Pinaki Pal , Peng Ji , Chittaranjan Hens

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…

Adaptation and Self-Organizing Systems · Physics 2019-06-19 Sarika Jalan , Vasundhara Rathore , Ajay Deep Kachhvah , Alok Yadav

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…

Adaptation and Self-Organizing Systems · Physics 2018-12-03 Pitambar Khanra , Prosenjit Kundu , Chittaranjan Hens , Pinaki Pal

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…

Adaptation and Self-Organizing Systems · Physics 2019-02-20 Ajay Deep Kachhvah , Sarika Jalan

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…

Chaotic Dynamics · Physics 2019-04-16 Wei Chen , Weiqing Liu , Yueheng Lan , Jinghua Xiao

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…

Chaotic Dynamics · Physics 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…

Statistical Mechanics · Physics 2012-03-07 Thomas Kauê Dal'Maso Peron , Francisco Aparecido Rodrigues

Synchronization on multiplex networks have attracted increasing attention in the past few years. We investigate collective behaviors of Kuramoto oscillators on single layer and duplex spacial networks with total cost restriction, which was…

Chaotic Dynamics · Physics 2017-11-22 Ruiwu Niu , Xiaoqun Wu , Jun-an Lu , Jianwen Feng

Explosive synchronization (ES), which was observed in the scale-free network of the Kuramoto model, has been studied widely in the oscillator model. However, investigations of ES in neuronal networks, in spite of their importance in…

Adaptation and Self-Organizing Systems · Physics 2026-04-07 Akshay S Harish , Gaurav Dar

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…

Physics and Society · Physics 2015-06-23 Xiyun Zhang , Stefano Boccaletti , Shuguang Guan , Zonghua Liu

The phenomenon of explosive synchronization, which originates from hypersensitivity to small perturbation caused by some form of frustration prevailed in various physical and biological systems, has been shown to lead events of cascading…

Adaptation and Self-Organizing Systems · Physics 2020-06-26 Sarika Jalan , Ajay Deep Kachhvah , Hawoong Jeong

We report the emergence of explosive synchronization in a multiplex network where oscillators on the first layer are coupled with attractive coupling and those on the second layer, coupled with repulsive coupling. With Stuart-Landau and…

Adaptation and Self-Organizing Systems · Physics 2022-09-07 Umesh Kumar Verma , G. Ambika

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…

Adaptation and Self-Organizing Systems · Physics 2020-01-23 Inmaculada Leyva , Cristina Masoller

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…

Adaptation and Self-Organizing Systems · Physics 2019-02-20 Prosenjit Kundu , Pinaki Pal

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…

Adaptation and Self-Organizing Systems · Physics 2021-02-03 Tanu Singla , M. Rivera

We introduce a novel coupling scheme for maximizing the synchronization of Kuramoto oscillator networks under a fixed coupling budget. We show that by scaling the interaction strength between oscillators according to their frequency…

Statistical Mechanics · Physics 2026-04-01 Amit Pando , Eran Bernstein , Tomer Hacohen , Nathan Vigne , Hui Cao , Oren Raz , Asher Friesem , Nir Davidson

We study the effect of network topology on the collective dynamics of an oscillator ensemble. Specifically, we explore explosive synchronization in a system of interacting star networks. Explosive synchronization is characterized by an…

Chaotic Dynamics · Physics 2024-05-22 Ruby Varshney , Kaustubh Manchanda , Haider Hasan Jafri

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…

Adaptation and Self-Organizing Systems · Physics 2015-06-15 Peng Ji , Thomas K. DM. Peron , Peter J. Menck , Francisco A. Rodrigues , Jürgen Kurths
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