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We make a short review about the synchronization in coupled phase oscillator models. Next, we study the common-noise-induced synchronization among active rotators. At an intermediate noise strength, the noise-induced synchronization takes…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Hidetsugu Sakaguchi

We consider a Kuramoto model for the dynamics of an excitable system consisting of two coupled active rotators. Depending on both the coupling strength and the noise, the two rotators can be in a synchronized or desynchronized state. The…

Pattern Formation and Solitons · Physics 2011-09-27 Sebastian F. Brandt , Axel Pelster , Ralf Wessel

The mathematical framework of multiplex networks has been increasingly realized as a more suitable framework for modelling real-world complex systems. In this work, we investigate the optimization of synchronizability in multiplex networks…

Adaptation and Self-Organizing Systems · Physics 2017-05-24 Sanjiv K. Dwivedi , Murilo S. Baptista , Sarika Jalan

We study the synchronization of chaotic units connected through time-delayed fluctuating interactions. We focus on small-world networks of Bernoulli and Logistic units with a fixed chiral backbone. Comparing the synchronization properties…

In this paper, we investigate the collective synchronization of system of coupled oscillators on Barab\'{a}si-Albert scale-free network. We propose an approach of structural perturbations aiming at those nodes with maximal betweenness. This…

Statistical Mechanics · Physics 2007-05-23 Ming Zhao , Tao Zhou , Bing-Hong Wang , Wen-Xu Wang

Chaos synchronization in a ring of diffusively coupled nonlinear oscillators driven by an external identical oscillator is studied. Based on numerical simulations we show that by introducing additional couplings at $(mN_c+1)$-th oscillators…

Chaotic Dynamics · Physics 2011-11-28 D. V. Senthilkumar , P. Muruganandam , M. Lakshmanan , J. Kurths

The possibility for detuned spins to display synchronous oscillations in local observables is analyzed in the presence of collective dissipation and incoherent pumping. We show that there exist two distinct mechanisms that can give rise to…

Quantum Physics · Physics 2021-05-21 Albert Cabot , Gian Luca Giorgi , Roberta Zambrini

Synchronization in coupled oscillators networks is a remarkable phenomenon of relevance in numerous fields. For Kuramoto oscillators the loss of synchronization is determined by a trade-off between coupling strength and oscillator…

Optimization and Control · Mathematics 2018-07-27 Saber Jafarpour , Francesco Bullo

We study synchronization of Kuramoto oscillators in strongly modular networks in which the structure of the network inside each community is averaged. We find that the dynamics of the interacting communities can be described as an ensemble…

Adaptation and Self-Organizing Systems · Physics 2012-06-19 Per Sebastian Skardal , Juan G. Restrepo

We analyze the dynamics of networks of spiking neural oscillators. First, we present an exact linear stability theory of the synchronous state for networks of arbitrary connectivity. For general neuron rise functions, stability is…

Neurons and Cognition · Quantitative Biology 2009-11-11 Marc Timme , Theo Geisel , Fred Wolf

Oscillatory activity is ubiquitous in natural and engineered network systems. The interaction scheme underlying interdependent oscillatory components governs the emergence of network-wide patterns of synchrony that regulate and enable…

Adaptation and Self-Organizing Systems · Physics 2022-08-12 Tommaso Menara , Giacomo Baggio , Danielle S. Bassett , Fabio Pasqualetti

Multiplex networks provide a proper framework for understanding the dynamics of complex systems with differing types of interactions. This study considers different dynamical states possible in a multiplex network of nonlinear oscillators,…

Adaptation and Self-Organizing Systems · Physics 2025-05-27 Aiwin T Vadakkan , G. Ambika

Despite the prevalence of biological and physical systems for which synchronization is critical, existing theory for optimizing synchrony depends on global information and does not sufficiently explore local mechanisms that enhance…

Adaptation and Self-Organizing Systems · Physics 2022-09-21 Pranick R. Chamlagai , Dane Taylor , Per Sebastian Skardal

In this paper, we address the finite time synchronization of a network of dynamical systems with time-varying interactions modeled using temporal networks. We synchronize a few nodes initially using external control inputs. These nodes are…

Systems and Control · Electrical Eng. & Systems 2024-03-15 Aandrew Baggio S , Rachel Kalpana Kalaimani

We investigate the synchronization of active rotors. A rotor is composed of a free-rotating arm with a particle that releases a surface-active chemical compound. It exhibits self-rotation due to the surface tension gradient originating from…

Pattern Formation and Solitons · Physics 2023-06-28 Hiroyuki Kitahata , Yuki Koyano

Synchronization is essential for the operation of AC power systems: All generators in the power grid must rotate with fixed relative phases to enable a steady flow of electric power. Understanding the conditions for and the limitations of…

Systems and Control · Electrical Eng. & Systems 2024-11-06 Carsten Hartmann , Philipp C. Böttcher , David Gross , Dirk Witthaut

The dynamics of coupled Stuart-Landau oscillators play a central role in the study of synchronization phenomena. Previous works have focused on linearly coupled oscillators in different configurations, such as all-to-all or generic complex…

Pattern Formation and Solitons · Physics 2026-03-30 Wilfried Segnou , Riccardo Muolo , Marie Dorchain , Hiroya Nakao , Timoteo Carletti

Macroscopic ensembles of radiating dipoles are ubiquitous in the physical and natural sciences. In the classical limit the dipoles can be described as damped-driven oscillators, which are able to spontaneously synchronize and collectively…

Networks in nature have complex interactions among agents. One significant phenomenon induced by interactions is synchronization of coupled agents, and the interactive network topology can be tuned to optimize synchronization. The previous…

Physics and Society · Physics 2021-08-26 Ying Tang , Dinghua Shi , Linyuan Lü

We introduce the concept of synchronization bombs as large networks of coupled heterogeneous oscillators that operate in a bistable regime and abruptly transit from incoherence to phase-locking (or vice-versa) by adding (or removing) one or…