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We study synchronization dynamics in populations of coupled phase oscillators with higher-order interactions and community structure. We find that the combination of these two properties gives rise to a number of states unsupported by…

Adaptation and Self-Organizing Systems · Physics 2023-02-24 Per Sebastian Skardal , Sabina Adhikari , Juan G. Restrepo

The dynamics of an ensemble of bistable elements with global time-delayed coupling under the influence of noise is studied analytically and numerically. Depending on the noise level the system undergoes ordering transitions and demonstrates…

Statistical Mechanics · Physics 2009-11-10 D. Huber , L. S. Tsimring

We study the coevolution of network structure and signaling behavior. We model agents who can preferentially associate with others in a dynamic network while they also learn to play a simple sender-receiver game. We have four major…

Social and Information Networks · Computer Science 2024-01-15 Zachary Fulker , Patrick Forber , Rory Smead , Christoph Riedl

Opinion dynamics is a central subject of computational social science, and various models have been developed to understand the evolution and formulation of opinions. Existing models mainly focus on opinion dynamics on graphs that only…

Social and Information Networks · Computer Science 2023-10-10 Wanyue Xu , Zhongzhi Zhang

We analyze the simplest model of identical coupled phase oscillators subject to two-body and three-body interactions with permutation symmetry. This model is derived from an ensemble of weakly coupled nonlinear oscillators by phase…

Adaptation and Self-Organizing Systems · Physics 2025-10-22 Iván León , Riccardo Muolo , Shigefumi Hata , Hiroya Nakao

While recent recordings from neural populations show beyond-pairwise, or higher-order correlations (HOC), we have little understanding of how HOC arise from network interactions and of how they impact encoded information. Here, we show that…

Neurons and Cognition · Quantitative Biology 2015-12-15 Joel Zylberberg , Eric Shea-Brown

Synchronization is a widespread phenomenon observed in physical, biological, and social networks, which persists even under the influence of strong noise. Previous research on oscillators subject to common noise has shown that noise can…

Adaptation and Self-Organizing Systems · Physics 2021-06-02 Zachary G. Nicolaou , Michael Sebek , Istvan Z. Kiss , Adilson E. Motter

Cooperation is fundamental to human societies, and the interaction structure among individuals profoundly shapes its emergence and evolution. In real-world scenarios, cooperation prevails in multi-group (higher-order) populations, beyond…

Physics and Society · Physics 2025-01-28 Dini Wang , Peng Yi , Yiguang Hong , Jie Chen , Gang Yan

We report enhancing of complete synchronization in identical chaotic oscillators when their interaction is mediated by a mismatched oscillator. The identical oscillators now interact indirectly through the intermediate relay oscillator. The…

Chaotic Dynamics · Physics 2017-07-06 Ranjib Banerjee , Bidesh K. Bera , Dibakar Ghosh , Syamal Kumar Dana

Diverse complex systems often undergo sudden changes in their states, such as epileptic seizures, climate changes, and social uprisings. Such behavior has been modeled by noise-induced escape of bistable elements, which is the escape from…

Adaptation and Self-Organizing Systems · Physics 2024-05-15 Hidemasa Ishii , Hiroshi Kori

We present conclusive evidence showing that different sources of diversity, such as those represented by quenched disorder or noise, can induce a resonant collective behavior in an ensemble of coupled bistable or excitable systems. Our…

Statistical Mechanics · Physics 2009-05-27 Claudio J. Tessone , Claudio R. Mirasso , Raul Toral , James D. Gunton

Networks of globally coupled, noise activated, bistable elements with connection time delays are considered. The dynamics of these systems is studied numerically using a Langevin description and analytically using (1) a Gaussian…

Statistical Mechanics · Physics 2009-11-11 Daniel Huber , Lev Tsimring

Several experiments and models have highlighted the importance of neuronal heterogeneity in brain dynamics and function. However, how such a cell-to-cell diversity can affect cortical computation, synchronization, and neuronal communication…

Neurons and Cognition · Quantitative Biology 2021-04-07 Katiele V. P. Brito , Fernanda Selingardi Matias

Recent research has focused on understanding how cooperation is fostered through various mechanisms in cognitive settings, particularly through pairwise interactions. However, real-world interactions often extend beyond simple dyads,…

Physics and Society · Physics 2024-07-16 Yin-Jie Ma , Zhi-Qiang Jiang , Fan-Shu Fang , Matjaz Perc , Stefano Boccaletti

By critically evaluating higher-order nonlinear effects to the isotope shifts (ISs) in the low-lying transition frequencies of the singly charged calcium ion, stringent constraint on the electron-neutron coupling due to a hypothetical boson…

Atomic Physics · Physics 2025-10-29 Vaibhav Katyal , A. Chakraborty , B. K. Sahoo

This study investigates the dynamics of a globally coupled network of heterogeneous FitzHugh Nagumo (FHN) oscillators under stochastic influences, with particular emphasis on the emergence of extreme events (EE). While previous studies…

Chaotic Dynamics · Physics 2025-12-11 S. Hariharan , R. Suresh , V. K. Chandrasekar

We study the evolution of heterogeneous networks of oscillators subject to a state-dependent interconnection rule. We find that heterogeneity in the node dynamics is key in organizing the architecture of the functional emerging networks. We…

Adaptation and Self-Organizing Systems · Physics 2015-07-27 Francesco Scafuti , Takaaki Aoki , Mario di Bernardo

The complexity of many biological, social and technological systems stems from the richness of the interactions among their units. Over the past decades, a great variety of complex systems has been successfully described as networks whose…

We consider two weakly coupled systems and adopt a perturbative approach based on the Ruelle response theory to study their interaction. We propose a systematic way to parametrize the effect of the coupling as a function of only the…

Statistical Mechanics · Physics 2012-08-16 Jeroen Wouters , Valerio Lucarini

We study a process of pattern formation for a generic model of species anchored to the nodes of a network where local reactions take place, and that experience non-reciprocal long-range interactions, encoded by the network directed links.…

Pattern Formation and Solitons · Physics 2025-10-22 Timoteo Carletti , Riccardo Muolo
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