Article
Mathematics, Applied
Hyunsuk Hong, Erik A. Martens
Summary: This study investigated the phase coherence dynamics in coupled oscillators based on the correlation between frequencies and coupling strengths. Results showed that in the case of correlated disorder, the oscillator population splits into two subpopulations, while in the uncorrelated case, it may split into four phase-locked subpopulations, leading to periodic global synchronization motion. In both cases of disorder, an incoherent state exists, with instability observed in the correlated case and neutral stability in the uncorrelated case.
Article
Mathematics, Applied
N. D. Tsigkri-DeSmedt, N. Sarlis, A. Provata
Summary: Random links lead to the emergence of chimera-like states where coherent regions are interrupted by scattered, short-lived solitaries. Random links enhance the appearance of chimera-like states for values of the parameter space that otherwise support synchronization. This counter-intuitive effect is due to the system locally organizing into coherent and incoherent domains by adding random links to the synchronous state.
Article
Mathematics, Applied
Georgi S. Medvedev, Matthew S. Mizuhara, Andrew Phillips
Summary: In this study, we investigate a system of coupled phase oscillators driven by random intrinsic frequencies near a saddle-node on invariant circle bifurcation. The system undergoes a phase transition and changes its qualitative properties of collective dynamics under the variation of control parameters. By using Ott-Antonsen reduction and geometric techniques for ordinary differential equations, we identify heteroclinic bifurcation in a family of vector fields on a cylinder, which explains the change in collective dynamics. Specifically, we demonstrate that heteroclinic bifurcation separates two topologically distinct families of limit cycles: contractible limit cycles before bifurcation and noncontractible ones after bifurcation. Both families are stable in the model at hand.
Article
Physics, Fluids & Plasmas
Biswabibek Bandyopadhyay, Tanmoy Banerjee
Summary: This study investigates the impact of Kerr anharmonicity on the symmetry-breaking phenomena of coupled quantum oscillators, revealing that Kerr nonlinearity hinders the process of symmetry breaking in both cases. The findings provide a means to control and engineer symmetry-breaking states for quantum technology.
Article
Mathematics, Applied
Guillermo H. Goldsztein, Lars Q. English, Emma Behta, Hillel Finder, Alice N. Nadeau, Steven H. Strogatz
Summary: Using theory, experiment, and simulation, this study examines the dynamics of two coupled metronomes on a moving platform. The experiments show that the platform motion is damped by a dry friction force of Coulomb type, contrary to previous assumptions of viscous linear friction force. A new mathematical model is developed based on previous models but with a different treatment of friction. The model analysis reveals various long-term behaviors, including synchronization, phase locking, and suppression, shedding light on the dynamics of coupled metronomes.
Article
Physics, Multidisciplinary
Qian Cui, Lulu Li, Jinde Cao, Fawaz E. Alsaadi
Summary: This paper mainly studies the synchronization problem of KON networks under ETDIC. The impulsive sequence is determined by the designed ETDIC strategy instead of pre-setting the impulsive instants. The phase and frequency synchronization criteria for KON networks with identical and nonidentical natural frequency are proposed based on the Lyapunov stability theory and the proposed ETDIC strategy. In addition, the proposed ETDIC can avoid the occurrence of the Zeno phenomenon. Two examples are provided to demonstrate the validity of the obtained results.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Engineering, Mechanical
Can Xu
Summary: In the paper by Ameli and Samani (Nonlinear Dyn, 2022), the authors propose a low-dimensional evolution of macroscopic order parameters in the generalized Kuramoto model with correlated quenched disorder of natural frequencies and coupling strength. They claim that the collective dynamics and global bifurcation of attractors can be described using the low-dimensional manifold. However, we argue that these low-dimensional descriptions for frequency-weighted coupling are generally incorrect. Our analysis reveals that the singularity of the frequency-weighted coupling prohibits analytical continuation but significantly simplifies the system's coherent behaviors. We demonstrate that our findings can be applied to a wide range of systems involving the frequency-weighted coupling scheme.
NONLINEAR DYNAMICS
(2023)
Article
Mathematics, Interdisciplinary Applications
I. A. Shepelev, T. E. Vadivasova
Summary: The study shows that inter-layer synchronization can occur even when there is a large frequency mismatch between the layers. There is a clear distinction between frequency synchronization and structure synchronization. The weakest chaotic behavior is observed when both frequency and structure synchronizations occur, while the most developed chaotic oscillations are typical when the spatiotemporal structures in the layers are not synchronized.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Multidisciplinary Sciences
Sindre W. Haugland, Anton Tosolini, Katharina Krischer
Summary: The text explores the behaviors of coupled oscillators, including synchronization and incoherence, as well as the discovery of "chimera states" and their relationship with synchronization and asynchronization. It demonstrates that globally coupled identical oscillators can express a wider range of coexistence patterns, including chimeras.
NATURE COMMUNICATIONS
(2021)
Article
Physics, Multidisciplinary
Feng Xiao, Lingyun Xie, Bo Wei
Summary: This study proposes a weighting method based on frequency and distance to construct a model for studying ES of mobile oscillators. The weighting induces a sudden and irreversible synchronization transition with a hysteresis loop. The transition between continuous synchronization and ES can be tuned by the weighting factors, and it is affected by various factors.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Computer Science, Artificial Intelligence
Geza Odor, Jeffrey Kelling, Gustavo Deco
Summary: This study extends the investigation of the Kuramoto model with additive Gaussian noise on the KKI-18 large human connectome graph, and numerically determines the dynamical behavior of the model in an assumed homeostatic state. The desynchronization duration distributions exhibit power-law tails with exponent overlapping in vivo human brain activity experiments, and scaling results remain valid with a transformation of ultra-slow eigenfrequencies to Gaussian distribution. Comparisons with results on a regular cube with 106 nodes show that internal frequencies can cause frustrated synchronization scaling in an extended coupling space.
Article
Physics, Multidisciplinary
Rico Berner, Simon Vock, Eckehard Schoell, Serhiy Yanchuk
Summary: The study developed a master stability approach for a wide class of adaptive networks, simplifying the synchronization problem to a low-dimensional system and revealing the interplay between adaptivity and network structure in the formation of stability islands and complex synchronization patterns.
PHYSICAL REVIEW LETTERS
(2021)
Article
Engineering, Electrical & Electronic
Shih-Hsin Chen, Chia-Chi Chu, Chun-Hsiung Hsia, Ming-Cheng Shiue
Summary: A differential inequality approach is utilized to derive stability conditions for synchronizing heterogeneous first-order forced coupled Kuramoto oscillator networks. The results show that frequency synchronization can be achieved under certain conditions, including cases where natural frequencies equal the external frequency and the coupling strength is relatively large. These proposed criteria appear to be less conservative compared to existing synchronization conditions through numerical simulations.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2022)
Article
Mathematics, Applied
Jiachen Ye, Thomas Peron, Wei Lin, Juergen Kurths, Peng Ji
Summary: The research on the dynamical-structural interplay in the Kuramoto model with inertia is crucial for understanding the mechanism of interaction-induced synchronization. The analysis of stationary states and transition processes reveals that optimization is approached when the natural frequency is tangent to the dominant eigenvector of the Laplacian matrix. Numerical simulations support the theoretical findings.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2021)
Article
Physics, Fluids & Plasmas
Chol-Ung Choe, Myong-Su Ho, Ryong-Son Kim
Summary: This study reports on an asymmetric spiral chimera with nonidentical incoherent cores of different sizes on the spherical surface of identical phase oscillators with nonlocal coupling. The bifurcation conditions of asymmetric spiral chimeras are derived and it is revealed that the asymmetric spiral chimera state emerges from the symmetric spiral chimera via a supercritical symmetry-breaking bifurcation. Rigorous stability analyses are carried out for different types of spiral chimeras and the complete stability diagram is presented. The theoretical findings are verified through extensive numerical simulations.
Article
Engineering, Electrical & Electronic
Pengchun Rao, Xiang Li
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2020)
Article
Engineering, Electrical & Electronic
Huiyan Li, Xiang Li
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2020)
Article
Physics, Condensed Matter
Xiao-Jie Li, Xiang Li
EUROPEAN PHYSICAL JOURNAL B
(2020)
Article
Engineering, Multidisciplinary
Wenjing Wang, Xiang Li
IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING
(2020)
Article
Engineering, Electrical & Electronic
Jie-Ning Wu, Xiang Li, Guanrong Chen
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2020)
Article
Engineering, Electrical & Electronic
Huiyan Li, Xiang Li
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2020)
Article
Engineering, Electrical & Electronic
Dapeng Huang, Huiyan Li, Xiang Li
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2020)
Article
Mathematics, Interdisciplinary Applications
Cong Li, Jing Li, Xiang Li
Summary: This study analyzed the evolution mechanisms of temporal human contact networks and proposed a memory-driven model to simulate the networks. It also investigated the impact of infection spreading processes on the networks. The results showed that individual activity state transitions facilitate the spreading process, while contact establishment by active individuals suppresses it.
Article
Physics, Multidisciplinary
Xu Hao, Xiang Li
Summary: This letter discusses the urgency of accurately inferring network structure from easily observed data by introducing the heterogeneity of nodes. It proposes a novel method to estimate the importance of nodes directly from spreading results, which effectively improves inference accuracy, especially when observed data is insufficient.
Article
Automation & Control Systems
Jie Wu, Xiang Li
Summary: This article investigates global stochastic synchronization of Kuramoto-oscillator networks with duplex topological structures, introducing two scenarios of noise diffusion. It rigorously derives local and global connectivity criteria for achieving global stochastic asymptotic phase agreement and frequency synchronization. The theoretical results are validated through numerical simulation, showing that phase agreement is robust to noise perturbation while frequency synchronization is sensitive.
IEEE TRANSACTIONS ON CYBERNETICS
(2021)
Proceedings Paper
Engineering, Electrical & Electronic
Jie Chen, Xiang Li
Summary: This paper investigates the application of memory-based best response update rule and bounded rational behavioral update rule to the vertex cover problem, proving that the bounded rational behavioral rule can ensure convergence of the entire vertex state to a SNE. Simulation experiments confirm the effectiveness of the proposed update rule, with findings suggesting that increasing the selection intensity leads to better SNE outcomes.
2021 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS)
(2021)
Article
Engineering, Multidisciplinary
Cong Li, Yuan Zhang, Xiang Li
Summary: This study investigates the role of layer preference and information spreading rate in controlling epidemic dynamics in temporal multiplex networks, revealing a new approach to controlling epidemic spreading through regulating epidemic threshold and promoting spreading process by nodes with higher degree displaying higher layer preference.
IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING
(2021)
Proceedings Paper
Automation & Control Systems
Jie Chen, Xiang Li
2020 CHINESE AUTOMATION CONGRESS (CAC 2020)
(2020)
Proceedings Paper
Automation & Control Systems
Hongyu Ji, Quan Yuan, Cong Li, Xiang Li
Proceedings Paper
Automation & Control Systems
Xu Hao, Xiang Li
