We investigate the dynamics of the adaptive Kuramoto model with slow adaptation in the continuum limit, N→∞. This model is distinguished by dense multistability, where multiple states coexist for the same system parameters. The underlying cause of this multistability is that some oscillators can lock at different phases or switch between locking and drifting depending on their initial conditions. We identify new states, such as two-cluster states. To simplify the analysis, we introduce an approximate reduction of the model via row-averaging of the coupling matrix. We derive a self-consistency equation for the reduced model and present a stability diagram illustrating the effects of positive and negative adaptation. Our theoretical findings are validated through numerical simulations of a large finite system. Comparisons of previous work highlight the significant influence of adaptation on synchronization behavior.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1063/5.0226759 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Evaluation of water environmental capacity in a northern river-reservoir continuum using environmental fluid dynamics code.
Sci Total Environ
January 2025
School of Earth System Science, Tianjin University, Tianjin 300072, China.
The hydrodynamics, water temperature, and water quality model for the Dan River and Renzhuang Reservoir continuum were developed using field monitoring data and the Environmental Fluid Dynamics Code (EFDC). An in-situ water discharge experiment enabled the calculation of water propagation time using a simulated flood progression method and the hydrodynamics module of EFDC. Based on these model results, degradation coefficients for chemical oxygen demand, biochemical oxygen demand, nitrogen (N), phosphorus (P), fluoride, arsenic were determined, revealing significantly higher values when the wetland barrage was opening.
View Article and Find Full Text PDFContinuum limit of the adaptive Kuramoto model.
Chaos
January 2025
Centre for Mathematical Science, Lund University, Märkesbacken 4, 223 62 Lund, Sweden.
We investigate the dynamics of the adaptive Kuramoto model with slow adaptation in the continuum limit, N→∞. This model is distinguished by dense multistability, where multiple states coexist for the same system parameters. The underlying cause of this multistability is that some oscillators can lock at different phases or switch between locking and drifting depending on their initial conditions.
View Article and Find Full Text PDFHealth differences between rural and non-rural Texas counties based on 2023 County Health Rankings.
BMC Health Serv Res
January 2025
Translational Health Research Center, Texas State University, 601 University Drive, San Marcos, TX, 78666, USA.
Background: Place matters for health. In Texas, growing rural populations face a variety of structural, social, and economic disparities that position them for potentially worse health outcomes. The current study contributes to understanding rural health disparities in a state-specific context.
View Article and Find Full Text PDFRole of Individual and Network Factors in HIV Care Continuum Outcomes among PLWH: An Egocentric Network Study in Yunnan, China.
AIDS Behav
December 2024
Department of Epidemiology and Biostatistics, School of Public Health, University of Maryland, College Park, MD, USA.
Due to limited data on the determinants of HIV care continuum outcomes among people living with HIV (PLWH) in resource-limited settings, this study aimed to identify individual and social support network factors influencing these outcomes, thereby informing the development of intervention strategies to achieve the UNAIDS 95-95-95 targets. PLWH in Yunnan, China, were recruited using convenience sampling at three stages of the HIV care continuum: linkage to care, antiretroviral therapy (ART) initiation, and viral suppression. An egocentric network design combined with multilevel logit modeling was employed to investigate factors associated with ART initiation and viral suppression.
View Article and Find Full Text PDFSub-millimeter fiberscopic robot with integrated maneuvering, imaging, and biomedical operation abilities.
Nat Commun
December 2024
Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong SAR, China.
Small-scale continuum robots hold promise for interventional diagnosis and treatment, yet existing models struggle to achieve small size, precise steering, and visualized functional treatment simultaneously, termed an "impossible trinity". This study introduces an optical fiber-based continuum robot integrated imaging, high-precision motion, and multifunctional operation abilities at submillimeter-scale. With a slim profile of 0.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!