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We study systems of identical coupled oscillators introducing a distribution of delay times in the coupling. For arbitrary network topologies, we show that the frequency and stability of the fully synchronized states depend only on the mean…

Chaotic Dynamics · Physics 2016-07-04 Lucas Wetzel , Luis G. Morelli , Andrew C. Oates , Frank Julicher , Saul Ares

Spontaneous synchronization of an ensemble of metronomes placed on a freely rotating platform is studied experimentally and by computer simulations. A striking in-phase synchronization is observed when the metronomes' beat frequencies are…

Chaotic Dynamics · Physics 2015-06-11 Szilard Boda , Zoltan Neda , Botond Tyukodi , Arthur Tunyagi

The problem of optimization of the rolling dynamics model is considered. That providing safe movement at high frequency when interacting with the railway. Moreover, allowing to evaluate the dynamic parameters when designing new and…

Computational Engineering, Finance, and Science · Computer Science 2020-10-20 Anas M. Al-Oraiqat , Alexander Y. Ivanov , Yuriy A. Ivanov

Spontaneous synchronization is a general phenomenon in which a large population of coupled oscillators of diverse natural frequencies self-organize to operate in unison. The phenomenon occurs in physical and biological systems over a wide…

Statistical Mechanics · Physics 2021-03-31 Shamik Gupta , Romain Bachelard , Tarcisio Rocha Filho

We have developed a simple cellular automata model for nonlinearly coupled phase oscillators which can exhibit many important collective dynamical states found in other synchronizing systems. The state of our system is specified by a set of…

Adaptation and Self-Organizing Systems · Physics 2017-06-29 Amitava Banerjee , Muktish Acharyya

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

We study the relationship between topological scales and dynamic time scales in complex networks. The analysis is based on the full dynamics towards synchronization of a system of coupled oscillators. In the synchronization process, modular…

Disordered Systems and Neural Networks · Physics 2009-11-11 Alex Arenas , Albert Diaz-Guilera , Conrad J. Perez-Vicente

The emergence of synchronization in a network of coupled oscillators is a pervasive topic in various scientific disciplines ranging from biology, physics, and chemistry to social networks and engineering applications. A coupled oscillator…

Optimization and Control · Mathematics 2012-09-07 Florian Dörfler , Francesco Bullo

An intermediate step to modelling behaviour of active matter is understanding interactions of active objects (AOs) with inanimate matter, which often lead to a range of rich behaviour. We present a range of simulations of the interaction of…

Soft Condensed Matter · Physics 2020-06-09 Liu Ping , Xianwen Ran , Raphael Blumenfeld

We consider the rich variety of collective motion patterns emerging when aligning active particles move in the presence of randomly distributed obstacles - representing quenched noise in two dimensions. In order to get insight into the…

Soft Condensed Matter · Physics 2023-02-21 Danial Vahabli , Tamas Vicsek

The nature of emergent collective behaviors of moving physical agents interacting with their neighborhood is a long-standing open issue in physical and biological systems alike. This calls for studies on the control of synchronization and…

Statistical Mechanics · Physics 2017-08-11 Tirthankar Banerjee , Abhik Basu

In this work we revisit the nonmonotonic behavior (NMB) of synchronization time with velocity reported for systems of mobile pulse-coupled oscillators (PCOs). We devise a control parameter that allows us to predict in which range of…

Adaptation and Self-Organizing Systems · Physics 2018-01-15 Albert Beardo , Luce Prignano , Oleguer Sagarra , Albert Diaz-Guilera

The aim of this work is to compare the orbital dynamics in three different models describing the properties of a star cluster rotating around its parent galaxy in a circular orbit. In particular, we use the isochrone and the Hernquist…

Astrophysics of Galaxies · Physics 2017-09-28 Euaggelos E. Zotos

Bus bunching is a perennial phenomenon that not only diminishes the efficiency of a bus system, but also prevents transit authorities from keeping buses on schedule. We present a physical theory of buses serving a loop of bus stops as a…

Physics and Society · Physics 2020-04-30 Vee-Liem Saw , Ning Ning Chung , Wei Liang Quek , Yi En Ian Pang , Lock Yue Chew

We simulate the dynamics of a single circle microswimmer exploring a disordered array of fixed obstacles. The interplay of two different types of randomness, quenched disorder and stochastic noise, is investigated to unravel their impact on…

Biological Physics · Physics 2020-07-17 Oleksandr Chepizhko , Thomas Franosch

Finding the conditions that foster synchronization in networked oscillatory systems is critical to understanding a wide range of biological and mechanical systems. However, the conditions proved in the literature for synchronization in…

Systems and Control · Computer Science 2018-05-09 Zahra Aminzare , Biswadip Dey , Elizabeth N. Davison , Naomi Ehrich Leonard

We study the influence of selfish vs. polite behaviours on the dynamics of a pedestrian evacuation through a narrow exit. To this end, experiments involving about 80 participants with distinct prescribed behaviours are performed;…

Physics and Society · Physics 2016-10-24 Alexandre Nicolas , Sebastián Bouzat , Marcelo Kuperman

Globally coupled oscillator systems with inertia exhibit complex synchronization patterns, among which the emergence of a couple of secondary synchronized clusters (SCs) in addition to the primary cluster (PC) is especially distinctive.…

Adaptation and Self-Organizing Systems · Physics 2025-10-28 Cook Hyun Kim , Jinha Park , Young Jin Kim , Sangjoon Park , S. Boccaletti , B. Kahng

To better design safe and comfortable urban spaces, understanding the nature of human crowd movement is important. However, precise interactions among pedestrians are difficult to measure in the presence of their complex decision-making…

Synchronization is a fundamental dynamical state of interacting oscillators, observed in natural biological rhythms and in the brain. Global synchronization which occurs when non-linear or chaotic oscillators placed on the nodes of a…

Statistical Mechanics · Physics 2025-10-22 Timoteo Carletti , Lorenzo Giambagli , Riccardo Muolo , Ginestra Bianconi