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Understanding how the interplay between higher-order and multilayer structures of interconnections influences the synchronization behaviors of dynamical systems is a feasible problem of interest, with possible application in essential…

Chaotic Dynamics · Physics 2022-09-05 Md Sayeed Anwar , Dibakar Ghosh

We study synchronization in large populations of coupled phase oscillators with time-delays, higher order interactions. With each of these effects individually giving rise to bistabiltiy between incoherence and synchronization via a…

Adaptation and Self-Organizing Systems · Physics 2022-06-01 Per Sebastian Skardal , Can Xu

Synchronization processes play critical roles in the functionality of a wide range of both natural and man-made systems. Recent work in physics and neuroscience highlights the importance of higher-order interactions between dynamical units,…

Adaptation and Self-Organizing Systems · Physics 2021-08-03 Per Sebastian Skardal , Alex Arenas

Networks incorporating higher-order interactions are increasingly recognized for their ability to introduce novel dynamics into various processes, including synchronization. Previous studies on synchronization within multilayer networks…

Adaptation and Self-Organizing Systems · Physics 2024-07-16 Palash Kumar Pal , Md Sayeed Anwar , Matjaz Perc , Dibakar Ghosh

Synchronous oscillations of spatially disjunct populations are widely observed in ecology. Even in the absence of spatially synchronized exogenous forces, metapopulations may synchronize via dispersal. For many species, most dispersal is…

Populations and Evolution · Quantitative Biology 2025-06-11 Davi Arrais Nobre , Karen C. Abbott , Jonathan Machta , Alan Hastings

Adaptive networks change their connectivity with time, depending on their dynamical state. While synchronization in structurally static networks has been studied extensively, this problem is much more challenging for adaptive networks. In…

Adaptation and Self-Organizing Systems · Physics 2021-01-20 Rico Berner , Simon Vock , Eckehard Schöll , Serhiy Yanchuk

Synchronization of coupled oscillators is observed in many natural and engineered systems and emerges due to the interactions within the system. It can be both beneficial, e.g., in power grids, and harmful, e.g., in epileptic seizures. In…

Adaptation and Self-Organizing Systems · Physics 2026-02-18 Martin Moriamé , Riccardo Muolo , Timoteo Carletti , Maxime Lucas

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 investigate the impact of contrarians (via negative coupling) in a multilayer network of phase oscillators having higher-order interactions. We show that the multilayer framework facilitates synchronization onset in the negative pairwise…

Adaptation and Self-Organizing Systems · Physics 2023-10-11 Vasundhara Rathore , Ayushi Suman , Sarika Jalan

We consider a general swarm model of self-propelling agents interacting through a pairwise potential in the presence of noise and communication time delay. Previous work [Phys. Rev. E 77, 035203(R) (2008)] has shown that a communication…

Adaptation and Self-Organizing Systems · Physics 2012-05-02 Luis Mier-y-Teran-Romero , Eric Forgoston , Ira B. Schwartz

In the light of the recently proposed scenario of asymmetry-induced synchronization (AISync), in which dynamical uniformity and consensus in a distributed system would demand certain asymmetries in the underlying network, we investigate…

Adaptation and Self-Organizing Systems · Physics 2018-04-11 Alberto Saa

Many natural and human-made complex systems feature group interactions that adapt over time in response to their dynamic states. However, most of the existing adaptive network models fall short of capturing these group dynamics, as they…

Adaptation and Self-Organizing Systems · Physics 2024-08-23 Md Sayeed Anwar , S. Nirmala Jenifer , Paulsamy Muruganandam , Dibakar Ghosh , Timoteo Carletti

Explaining the wide range of dynamics observed in ecological communities is challenging due to the large number of species involved, the complex network of interactions among them, and the influence of multiple environmental variables.…

Populations and Evolution · Quantitative Biology 2025-03-28 Francesco Ferraro , Christian Grilletta , Emanuele Pigani , Samir Suweis , Sandro Azaele , Amos Maritan

The apparent stability of population oscillations in ecological systems is a long-standing puzzle. A generic solution for this problem is suggested here. The stabilizing mechanism involves the combined effect of spatial migration,…

Populations and Evolution · Quantitative Biology 2007-05-23 Refael Abta , Marcelo Schiffer , Avishag Ben-Ishay , Nadav M. Shnerb

This paper investigates synchronization phenomena in networks of coupled oscillators governed by three-time-scale dynamical systems exhibiting canard dynamics. A mathematical framework has been developed to analyze the synchronization of…

Dynamical Systems · Mathematics 2025-05-28 Navojit Dhali Pallab

Investigating relation between various structural patterns found in real-world networks and stability of underlying systems is crucial to understand importance and evolutionary origin of such patterns. We evolve multiplex networks,…

Adaptation and Self-Organizing Systems · Physics 2017-02-22 Sanjiv K. Dwivedi , Sarika Jalan

Traditionally, interaction systems have been described as networks, where links encode information on the pairwise influences among the nodes. Yet, in many systems, interactions take place in larger groups. Recent work has shown that…

Adaptation and Self-Organizing Systems · Physics 2020-09-30 Maxime Lucas , Giulia Cencetti , Federico Battiston

The chimera state with co-existing coherent-incoherent dynamics has recently attracted a lot of attention due to its wide applicability. We investigate non-locally coupled identical chaotic maps with delayed interactions in the multiplex…

Chaotic Dynamics · Physics 2017-04-19 Saptarshi Ghosh , Anil Kumar , Anna Zakharova , Sarika Jalan

Different aspects of synchronization emerging in dynamical networks of coupled oscillators have been examined prominently in the last decades. Nevertheless, little attention has been paid on the emergence of this imperative collective…

Adaptation and Self-Organizing Systems · Physics 2019-01-09 Soumen Majhi , Dibakar Ghosh , Jürgen Kurths

Global synchronization in a complex network of oscillators emerges from the interplay between its topology and the dynamics of the pairwise interactions among its numerous components. When oscillators are spatially separated, however, a…

Adaptation and Self-Organizing Systems · Physics 2013-11-28 V. H. P. Louzada , N. A. M. Araújo , J. S. Andrade , H. J. Herrmann