Article
Physics, Multidisciplinary
Lluis Arola-Fernandez, Sergio Faci-Lazaro, Per Sebastian Skardal, Emanuel-Cristian Boghiu, Jesus Gomez-Gardenes, Alex Arenas
Summary: Research on network percolation and synchronization has advanced our understanding of abrupt changes in complex systems. This study introduces the concept of synchronization bombs, large networks of oscillators that transition abruptly from incoherence to synchronization by adding or removing a few links. The results have broad implications for understanding switch mechanisms in biological systems and designing networks that operate in this regime.
COMMUNICATIONS PHYSICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Xiang Ling, Bo Hua, Xing-Li Jing, Ning Guo, Ling-Lin Li, Kong-Jin Zhu, Jia-Jia Chen
Summary: It has been found that the synchronization phase transition type can be tuned by adjusting the balance between competitive and cooperative oscillators and the communication radius of the dynamical network. The communication radius and the number of oscillators also determine the connectivity and synchronization characteristics of the network.
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
(2023)
Article
Physics, Fluids & Plasmas
Mei Zhang, Yuhe Yang, Junzhong Yang
Summary: This work investigates partial synchronization in a ring of locally coupled identical oscillators and presents a systematic method to identify all partially synchronous dynamics on their synchronous manifolds. The correspondence between partially synchronous states and conjugacy classes of subgroups of the dihedral group DN is established. The study reveals a hierarchical structure of partially synchronous states, with upstream states being less synchronous than downstream states along a directed path in the structure.
Article
Automation & Control Systems
Yuzhen Qin, Yu Kawano, Oscar Portoles, Ming Cao
Summary: Partial synchronization in brain networks can be induced by strong regional connections in coupled subnetworks of Kuramoto oscillators, with critical values for algebraic connectivity and node strength determining the conditions for partial phase cohesiveness. This study presents the first known criterion based on the incremental 8-norm for noncomplete graphs, and highlights the interplay between anatomical structure and empirical patterns of synchrony in real anatomical brain network data through numerical simulations.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2021)
Article
Physics, Fluids & Plasmas
Antonio Palacios
Summary: Synchronization among symmetrically coupled homogeneous oscillators is common, but recent studies have shown that stable synchronization in asymmetric networks can only be achieved with heterogeneous oscillators. This paper mathematically proves and numerically confirms that stable synchronization can exist in asymmetrically coupled homogeneous oscillators.
Article
Mathematics, Interdisciplinary Applications
Tongfeng Weng, Xiaolu Chen, Zhuoming Ren, Huijie Yang, Jie Zhang, Michael Small
Summary: This study investigates the collective behavior of multiply moving reservoir computing oscillators. These oscillators gradually exhibit coherent rhythmic behavior when their number is large enough, showing excellent agreement with their learned dynamical system. Furthermore, the oscillators can exhibit significantly distinct collective behaviors resembling bifurcation phenomenon when changing a critical reservoir parameter. Intermittent synchronization emerges among the oscillators when studying a continuous chaotic system.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Computer Science, Information Systems
Yan Zong, Xuewu Dai, Shang Gao, Pep Canyelles-Pericas, Shuxin Liu
Summary: This article proposes a solution for clock synchronization in wireless blast wave monitoring networks, solving the problem of clock drift and improving synchronization accuracy. Experimental results demonstrate that this method provides an effective clock synchronization solution for blast wave monitoring networks.
IEEE INTERNET OF THINGS JOURNAL
(2022)
Article
Physics, Fluids & Plasmas
Steve J. Kongni, Venceslas Nguefoue, Thierry Njougouo, Patrick Louodop, Fernando Fagundes Ferreira, Robert Tchitnga, Hilda A. Cerdeira
Summary: This study analyzes the dynamics of bidirectionally coupled swarmalators subject to attractive and repulsive couplings. The probability of connections between elements in different layers strongly depends on the defined vision range rc, leading to different patterns in both layers. The study discovers interlayer static sync and proves its stability. The study also observes first-order and second-order transitions under different conditions.
Article
Automation & Control Systems
Zhengxin Wang, Haibo He, Guo-Ping Jiang, Jinde Cao
Summary: This paper investigates quasi-synchronization in networked heterogeneous harmonic oscillators, proposing two distributed synchronization protocols and establishing sufficient conditions for quasi-synchronization. The theoretical results are illustrated through an electrical network and the effectiveness of the sufficient criteria is demonstrated with two examples.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2021)
Article
Physics, Multidisciplinary
Huawei Fan, Ya Wang, Xingang Wang
Summary: While topological symmetries are crucial for synchronization patterns in complex networks, it remains challenging to identify these symmetries in large networks. This study proposes an eigenvector-based analysis framework to identify synchronization patterns and investigate the emergence and transition of cluster synchronization states. The method can predict observable cluster synchronization states, critical couplings, and the sequence of these states without prior knowledge of network symmetries. The proposed framework is validated using different models of coupled chaotic oscillators, showing its efficacy and generality in studying synchronization patterns in large, complex networks.
FRONTIERS OF PHYSICS
(2023)
Article
Chemistry, Physical
Vladimir K. Vanag, Ivan S. Proskurkin
Summary: This is a theoretical and experimental study on a network of four excitable cells with the Belousov-Zhabotinsky (BZ) reaction. The cells are coupled by pulses with time delays and the coupling strengths are constant except for the coupling strength between cells #1 and #2 (C-12). The value of C-12 is controlled by pulses from two other cells, and the network exhibits three dynamic modes depending on the values of the time delays. The ability to tune C-12 through Hebb and anti-Hebb modes introduces memory and enables learning in the chemical network. The theoretical network is implemented experimentally using microcells with the BZ reaction and optical links for pulse coupling.
PHYSICAL CHEMISTRY CHEMICAL PHYSICS
(2023)
Article
Mathematics, Applied
Mariya Savinov, David Swigon, Bard Ermentrout
Summary: The study investigates the entrainment of a nonlinear oscillator by a periodic external force, and explores a two-dimensional map in which the phase and the period update according to the phase of the stimulus. The research found that there is a variety of fixed points and stability levels in different N:M-locking regions, and that the sensitivities of the phase and period to the stimulus, as well as the oscillator's preferred period, can affect the final locking pattern.
Article
Mathematics, Interdisciplinary Applications
Nicolas Faedo, Demian Garcia-Violini, John Ringwood
Summary: This communication proposes a strategy to induce complete synchronization in a complex network of nonlinear dynamical oscillators, using a multiple-input multiple-output feedback decoupling linearisation algorithm with H-infinity control to achieve stable synchronization even in the presence of model uncertainty. A case study with FitzHugh-Nagumo oscillators is used to illustrate the strategy.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Physics, Multidisciplinary
Yun Zhai, Xuan Wang, Jinghua Xiao, Zhigang Zheng
Summary: This paper studies the stability of the synchronous state in coupled phase oscillators. It is found that numerical integration with a finite time step may induce desynchronization at strong couplings. The desynchronization critical couplings increase and diverge as a power law with decreasing the integral time step. Theoretical analysis supports the local stability of the synchronized state, while the global emergence of synchronized states depends on the initial conditions. Other metastable ordered states such as twisted states can coexist with the synchronous mode but lose stability when the network becomes dense.
Article
Physics, Fluids & Plasmas
M. Elaeva, E. Blanter, M. Shnirman, A. Shapoval
Summary: In this paper, a method is proposed to characterize the synchronization of two oscillators without reconstructing the coupling structure. The method is based on the Kuramoto chain with three oscillators with constant but nonidentical coupling. The asymmetry A induced by the coupling disparity is proposed as a new characteristic of synchronization between the two oscillators. The asymmetry A is applied to describe the synchronization of solar magnetic field proxies and its potential use for the forecast of solar cycle anomalies is discussed.
Article
Mathematics, Interdisciplinary Applications
Gemma Rosell-Tarrago, Emanuele Cozzo, Albert Diaz-Guilera
Article
Chemistry, Physical
Aitor Martin-Gomez, Demian Levis, Albert Diaz-Guilera, Ignacio Pagonabarraga
Article
Multidisciplinary Sciences
Roberta Amato, Lucas Lacasa, Albert Diaz-Guilera, Andrea Baronchelli
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2018)
Article
Mathematics, Applied
Gemma Rosell-Tarrago, Albert Diaz-Guilera
Article
Multidisciplinary Sciences
Felipe Montes, Ana Maria Jaramillo, Jose D. Meisel, Albert Diaz-Guilera, Juan A. Valdivia, Olga L. Sarmiento, Roberto Zarama
SCIENTIFIC REPORTS
(2020)
Article
Mathematics, Interdisciplinary Applications
Gemma Rosell-Tarrago, Albert Diaz-Guilera
Summary: The paper discusses the concept of approximate symmetries in complex networks and introduces the idea of 'quasi-symmetries'. Analyzing quasi-symmetries can reveal hidden network attributes and provide insights on the complexity of network patterns, as well as the impact of quasi-symmetries on node centrality and community detection. The use of a 'dual-network' is proposed as a powerful tool to encode information about quasi-symmetries and obtain valuable insights about network structures.
JOURNAL OF COMPLEX NETWORKS
(2021)
Article
Physics, Multidisciplinary
Irene Ferri, Conrad Perez-Vicente, Matteo Palassini, Albert Diaz-Guilera
Summary: We investigate the diffusion of opinions on complex networks and the interaction between the existence of neutral opinion states and non-trivial network structures. Using a three-state opinion model, we analyze the impact of topological features on consensus formation, bipartisanship, and opinion fragmentation in three parties. Our findings suggest that the neutrality parameter and temperature play a role in shaping opinion dynamics in relation to the network structure.
Article
Multidisciplinary Sciences
Tiago A. Schieber, Laura C. Carpi, Panos M. Pardalos, Cristina Masoller, Albert Diaz-Guilera, Martin G. Ravetti
Summary: This article introduces the concept of Diffusion Capacity, which measures the potential of a network node to diffuse information and provides insights for improving network efficiency. The method considers the network topology, diffusion process, and initial conditions, and thoroughly describes the role of individual nodes and identifies structural modifications that can enhance diffusion mechanisms. Applied to a global climate network, the research reveals a significant decrease in diffusion capacity around 2000, suggesting a loss of the planet's diffusion capacity contributing to more frequent climatic events.
NATURE COMMUNICATIONS
(2023)
Article
Mathematics, Applied
I. Ferri, A. Gaya-Avila, A. Diaz-Guilera
Summary: In this study, we investigate the impact of a dimensionless parameter, called the neutrality parameter, on the formation of consensus in an agent-based opinion model. The results show that in general, mobility promotes the formation of global consensus, especially for extreme opinions. However, it takes significantly less time to reach a consensus on the neutral opinion.
Article
Computer Science, Theory & Methods
Adria Plazas, Irene Malvestio, Michele Starnini, Albert Diaz-Guilera
Summary: This study introduces a network approach to simulate the implementation of partial lockdowns to reduce the outbreak of epidemics and minimize the economic costs associated with such measures. It is found that different types of restrictions on social interactions help maintain the benefits of the network partition, while unconstrained social interactions dramatically increase the spread of epidemics.
APPLIED NETWORK SCIENCE
(2021)
Article
Physics, Fluids & Plasmas
Gemma Rosell-Tarrago, Albert Diaz-Guilera
Summary: This paper studies the extension of the Kuramoto model, known as the Kuramoto-Sakaguchi model, and explores the impact of phase lag parameters on the system, with a focus on full synchronization and symmetric configurations. By computing the set of lag parameters that may lead to any phase configuration, it is shown that the set of natural frequencies, phase lag parameters, and phases in the steady state are coupled.
Article
Physics, Multidisciplinary
Demian Levis, Albert Diaz-Guilera, Ignacio Pagonabarraga, Michele Starnini
PHYSICAL REVIEW RESEARCH
(2020)
Article
Physics, Fluids & Plasmas
Ignacio Morer, Alessio Cardillo, Albert Diaz-Guilera, Luce Prignano, Sergi Lozano
Article
Multidisciplinary Sciences
Laura C. Carpi, Tiago A. Schieber, Panos M. Pardalos, Gemma Marfany, Cristina Masoller, Albert Diaz-Guilera, Martin G. Ravetti
SCIENTIFIC REPORTS
(2019)
Article
Physics, Fluids & Plasmas
Lluis Arola-Fernandez, Albert Diaz-Guilera, Alex Arenas
