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Recent experiments with self-phoretic particles at low concentrations show a pronounced dynamic clustering [I. Theurkauff \emph{et al.}, Phys.\ Rev.\ Lett.\ \textbf{108}, 268303 (2012)]. We model this situation by taking into account the…

Soft Condensed Matter · Physics 2015-06-19 Oliver Pohl , Holger Stark

Globally coupled ensembles of phase oscillators serve as useful tools for modeling synchronization and collective behavior in a variety of applications. As interest in the effects of simplicial interactions (i.e., non-additive, higher-order…

Adaptation and Self-Organizing Systems · Physics 2021-01-13 Can Xu , Per Sebastian Skardal

Having established the fact that interacting classical kicked rotor systems exhibit long-lived prethermal phase with quasi-conserved average Hamiltonian before entering into chaotic heating regime, we use spatio-temporal fluctuation…

Statistical Mechanics · Physics 2021-09-01 Aritra Kundu , Atanu Rajak , Tanay Nag

Adaptive dynamical networks are ubiquitous in real-world systems. This paper aims to explore the synchronization dynamics in networks of adaptive oscillators based on a paradigmatic system of adaptively coupled phase oscillators. Our…

Adaptation and Self-Organizing Systems · Physics 2024-09-16 Mengke Wei , Andreas Amann , Oleksandr Burylko , Xiujing Han , Serhiy Yanchuk , Jürgen Kurths

We study the emerging collective states in a simple mechanical model of a dense group of self-propelled polar disks with off-centered rotation, confined within a circular arena. Each disk presents self-alignment towards the sum of contact…

Soft Condensed Matter · Physics 2026-04-15 Weizhen Tang , Yating Zheng , Amir Shee , Guozheng Lin , Zhangang Han , Pawel Romanczuk , Cristián Huepe

We have recently introduced an efficient method for the detection and identification of modules in complex networks, based on the de-synchronization properties (dynamical clustering) of phase oscillators. In this paper we apply the…

Populations and Evolution · Quantitative Biology 2009-11-13 Alessandro Pluchino , Andrea Rapisarda , Vito Latora

Distributed signal processing for wireless sensor networks enables that different devices cooperate to solve different signal processing tasks. A crucial first step is to answer the question: who observes what? Recently, several distributed…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-08 Patricia Binder , Michael Muma , Abdelhak M. Zoubir

Coupled oscillators have been used to study synchronization in a wide range of social, biological, and physical systems, including pedestrian-induced bridge resonances, coordinated lighting up of firefly swarms, and enhanced output peak…

Adaptation and Self-Organizing Systems · Physics 2021-11-01 Can Xu , Xiaohuan Tang , Huaping Lü , Karin Alfaro-Bittner , Stefano Boccaletti , Matjaz Perc , Shuguang Guan

We consider quantum walks defined on arbitrary infinite graphs, parameterized by a family of scattering matrices attached to the vertices. Multiplying each scattering matrix by an i.i.d. random phase, we obtain a random scattering quantum…

Mathematical Physics · Physics 2026-02-16 Alain Joye , Andreas Schaefer , Simone Warzel

We consider the transient behavior of globally coupled systems of identical pulse coupled oscillators. Synchrony develops through an aggregation phenomenon, with clusters of synchronized oscillators forming and growing larger in time.…

Adaptation and Self-Organizing Systems · Physics 2016-03-09 Kevin P. O'Keeffe

A complex collective emerging behavior characterized by coexisting coherent and incoherent do- mains is termed as a chimera state. We bring out the existence of a new type of chimera in a nonlocally coupled ensemble of identical oscillators…

Chaotic Dynamics · Physics 2017-12-13 R. Gopal , V. K. Chandrasekar , D. V. Senthilkumar , A. Venkatesan , M. Lakshmanan

The role of a new form of dynamic interaction is explored in a network of generic identical oscillators. The proposed design of dynamic coupling facilitates the onset of a plethora of asymptotic states including synchronous states,…

Adaptation and Self-Organizing Systems · Physics 2021-01-12 Shiva Dixit , Sayantan Nag Chowdhury , Awadhesh Prasad , Dibakar Ghosh , Manish Dev Shrimali

Inspired by Axelrod's model of culture dissemination, we introduce and analyze a model for a population of coupled oscillators where different levels of synchronization can be assimilated to different degrees of cultural organization. The…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 M. N. Kuperman , D. H. Zanette

This article reviews recent research on the collective dynamical behavior of colloids with dipolar or multipolar interactions. Indeed, whereas equilibrium structures and static self-assembly of such systems are now rather well understood,…

Soft Condensed Matter · Physics 2016-02-02 Sabine H. L. Klapp

The dynamics of hybrid systems -- i.e. ones in which classical and quantum degrees of freedom co-exist and interact -- feature both diffusion in the classical sector and decoherence in the quantum state. In this article, we will consider…

Quantum Physics · Physics 2025-10-10 Emanuele Panella

We consider a preferential cluster growth in a one-dimensional stochastic model describing the dynamics of a binary chain with long-range memory. The model is driven by data corresponding to emotional patterns observed during online…

Physics and Society · Physics 2015-06-05 Anna Chmiel , Janusz A. Hołyst

We consider the problem of the driven harmonic oscillator in the probability representation of quantum mechanics, where the oscillator states are described by fair nonnegative probability distributions of position measured in rotated and…

Quantum Physics · Physics 2012-04-04 Dmitry B. Lemeshevskiy , Vladimir I. Man'ko

We present a method to infer network connectivity from collective dynamics in networks of synchronizing phase oscillators. We study the long-term stationary response to temporally constant driving. For a given driving condition, measuring…

Disordered Systems and Neural Networks · Physics 2009-11-11 Marc Timme

We use computer simulations to study the onset of collective motion in systems of interacting active particles. Our model is a swarm of active Brownian particles with internal energy depot and interactions inspired by the dissipative…

Statistical Mechanics · Physics 2013-05-31 Vladimir Lobaskin , Maksym Romenskyy

Synchronization is known to play a vital role within many highly connected neural systems such as the olfactory systems of fish and insects. In this paper we show how one can robustly and effectively perform practical computations using…

Neurons and Cognition · Quantitative Biology 2007-05-23 Peter Ashwin , Jon Borresen
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