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We consider a model for two lasers that are mutually coupled optoelectronically by modulating the pump of one laser with the intensity deviations of the other. Signal propagation time in the optoelectronic loop causes a significant delay…

Chaotic Dynamics · Physics 2007-05-23 T. W. Carr , I. B. Schwartz , Min-Young Kim , Rajarshi Roy

Although stochastic resonance phenomena are ubiquitous across various complex systems, the influence mechanisms of higher-order interactions remain elusive. Here, we address this gap by investigating stochastic resonance in coupled phase…

Adaptation and Self-Organizing Systems · Physics 2026-03-16 Zheng Wang , Jinjie Zhu , Xianbin Liu

In the past decade, synchronization on complex networks has attracted increasing attentions from various research disciplines. Most previous works, however, focus only on the dynamic behaviors of synchronization process in the stable…

Data Analysis, Statistics and Probability · Physics 2011-10-26 Zhao Zhuo , Shimin Cai , Jie Zhang , Zhongqian Fu

Models of coupled oscillators are useful in describing a wide variety of phenomena in physics, biology and economics. These models typically rest on the premise that the oscillators are weakly coupled, meaning that amplitudes can be assumed…

Quantitative Methods · Quantitative Biology 2018-12-18 Erik D. Fagerholm , Rosalyn J. Moran , Inês R. Violante , Robert Leech , Karl J. Friston

A coupled phase-oscillator model consists of phase-oscillators, each of which has the natural frequency obeying a probability distribution and couples with other oscillators through a given periodic coupling function. This type of model is…

Adaptation and Self-Organizing Systems · Physics 2020-12-16 Ryosuke Yoneda , Kenji Harada , Yoshiyuki Y. Yamaguchi

We study a system of globally coupled FitzHugh-Nagumo oscillators, showing that the presence of higher-order interactions affects the character of the transition between synchronous and asynchronous states. In particular, we demonstrate…

Adaptation and Self-Organizing Systems · Physics 2025-07-31 Vladimir V. Semenov , Subhasanket Dutta , Stefano Boccaletti , Charo I. del Genio , Sarika Jalan , Anna Zakharova

We investigate stochastic resonance (SR) in an ensemble of coupled overdamped bistable oscillators driven by colored noise. The networks incorporate the weighted contributions of both pairwise coupling and 2-simplex coupling. Our findings…

Statistical Mechanics · Physics 2026-03-09 Zhongwen Bi , Dan Zhao , Qi Liu , Jürgen Kurths , Yong Xu

In this work, we study the synchronization of coupled phase oscillators on the underlying topology of scale-free networks. In particular, we assume that each network's component is an oscillator and that each interacts with the others…

Statistical Mechanics · Physics 2009-11-10 Yamir Moreno , Amalio F. Pacheco

Rhythmic phenomena, which are ubiquitous in biological systems, are typically modelled as systems of coupled limit cycle oscillators. Recently, there has been an increased interest in understanding the impact of higher-order interactions on…

Chaotic Dynamics · Physics 2026-03-19 Weiwei Su , Shigefumi Hata , Hiroshi Kori , Hiroya Nakao , Ryota Kobayashi

In a complex system, the interactions between individual agents often lead to emergent collective behavior like spontaneous synchronization, swarming, and pattern formation. The topology of the network of interactions can have a dramatic…

Adaptation and Self-Organizing Systems · Physics 2022-07-25 Mark J Panaggio , Maria-Veronica Ciocanel , Lauren Lazarus , Chad M Topaz , Bin Xu

The phenomenon of slow switching in populations of globally coupled oscillators is discussed. This characteristic collective dynamics, which was first discovered in a particular class of the phase oscillator model, is a result of the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Hiroshi Kori , Yoshiki Kuramoto

Topological phases open a door to such intriguing phenomena as unidirectional propagation and disorder-resilient localization at a stable frequency. Recently discovered higher-order topological phases further extend the concept of…

Mesoscale and Nanoscale Physics · Physics 2022-06-02 A. A. Stepanenko , M. D. Lyubarov , M. A. Gorlach

We study the periodic forced response of a system of two limit cycle oscillators that interact with each other via a time delayed coupling. Detailed bifurcation diagrams in the parameter space of the forcing amplitude and forcing frequency…

Chaotic Dynamics · Physics 2007-05-23 D. V. Ramana Reddy , A. Sen , G. L. Johnston

The study of first order transition (explosive synchronization) in an ensemble (network) of coupled oscillators has been the topic of paramount interest among the researchers for more than onedecade. Several frameworks have been proposed to…

Adaptation and Self-Organizing Systems · Physics 2023-05-04 Sangita Dutta , Abhijit Mondal , Prosenjit Kundu , Pitambar Khanra , Pinaki Pal , Chittaranjan Hens

We investigate different emergent dynamics namely oscillation quenching and revival of oscillation in a global network of identical oscillators coupled with diffusive (positive) delay coupling as it is perturbed by symmetry breaking…

Adaptation and Self-Organizing Systems · Physics 2019-02-20 Prosenjit Kundu , Lekha Sharma , Mauparna Nandan , Dibakar Ghosh , Chittaranjan Hens , Pinaki Pal

In the circuit of two thermally coupled VO2 oscillators, we studied a higher order synchronization effect, which can be used in object classification techniques to increase the number of possible synchronous states of the oscillator system.…

Neural and Evolutionary Computing · Computer Science 2020-07-30 Andrei Velichko , Vadim Putrolaynen , Maksim Belyaev

Adaptive network is a powerful presentation to describe different real-world phenomena. However, current models often neglect higher-order interactions (beyond pairwise interactions) and diverse adaptation types (cooperative and…

Adaptation and Self-Organizing Systems · Physics 2025-01-24 S. Nirmala Jenifer , Dibakar Ghosh , Paulsamy Muruganandam

Real-world networks are often characterized by simultaneous interactions between multiple agents that adapt themselves due to feedback from the environment. In this article, we investigate the dynamics of an adaptive multilayer network of…

Adaptation and Self-Organizing Systems · Physics 2025-01-22 Richita Ghosh , Md Sayeed Anwar , Dibakar Ghosh , Jurgen Kurths , Manish Dev Shrimali

Many systems exhibit a phase where the order parameter is spatially modulated. These patterns can be the result of a frustration caused by the competition between interaction forces with opposite effects. In all models with local…

Statistical Mechanics · Physics 2014-01-21 Simon Villain-Guillot

We propose a method for designing two-dimensional limit-cycle oscillators with prescribed periodic trajectories and phase response properties based on the phase reduction theory, which gives a concise description of weakly-perturbed…

Chaotic Dynamics · Physics 2024-04-30 Norihisa Namura , Tsubasa Ishii , Hiroya Nakao
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