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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

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.…

Adaptation and Self-Organizing Systems · Physics 2021-04-21 Anil Kumar , 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

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 (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

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

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

We study explosive synchronization, a phenomenon characterized by first-order phase transitions between incoherent and synchronized states in networks of coupled oscillators. While explosive synchronization has been the subject of many…

Adaptation and Self-Organizing Systems · Physics 2014-08-22 Per Sebastian Skardal , Alex Arenas

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 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 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

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

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…

Adaptation and Self-Organizing Systems · Physics 2023-10-11 Ruby Varshney , Haider Hasan Jafri

Cluster synchronisation is a key phenomenon observed in networks of coupled dynamical units. Its presence has been linked to symmetry and, more generally, to equability of the underlying pattern of interactions between dynamical units.…

Adaptation and Self-Organizing Systems · Physics 2025-12-17 Kirill Kovalenko , Gonzalo Contreras-Aso , Charo I. del Genio , Stefano Boccaletti , Rubén J. Sánchez-García

The emergence of dynamical abrupt transitions in the macroscopic state of a system is currently a subject of the utmost interest. Given a set of phase oscillators networking with a generic wiring of connections and displaying a generic…

Adaptation and Self-Organizing Systems · Physics 2014-02-14 I. Leyva , I. Sendiña-Nadal , J. A. Almendral , A. Navas , S. Olmi , S. Boccaletti

Relay (or remote) synchronization between two not directly connected oscillators in a network is an important feature allowing distant coordination. In this work, we report a systematic study of this phenomenon in multiplex networks, where…

Chaotic Dynamics · Physics 2017-11-30 I. Leyva , I. Sendiña-Nadal , R. Sevilla-Escoboza , V. P. Vera-Avila , P. Chholak , S. Boccaletti

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

We study impact of multiplexing on the global phase synchronizability of different layers in the delayed coupled multiplex networks. We find that at strong couplings, the multiplexing induces the global synchronization in sparse networks.…

Chaotic Dynamics · Physics 2016-05-03 Aradhana Singh , Saptarshi Ghosh , Sarika Jalan , Jürgen Kurths

Global and partial synchronization are the two distinctive forms of synchronization in coupled oscillators and have been well studied in the past decades. Recent attention on synchronization is focused on the chimera state (CS) and…

Physics and Society · Physics 2017-02-28 Xiyun Zhang , Hongjie Bi , Shuguang Guan , Jinming Liu , Zonghua Liu
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