Almost global convergence to practical synchronization in the generalized Kuramoto model on networks over the n-sphere
نویسندگان
چکیده
Abstract From the flashing of fireflies to autonomous robot swarms, synchronization phenomena are ubiquitous in nature and technology. They commonly described by Kuramoto model that, this paper, we generalise networks over n -dimensional spheres. We show for almost all initial conditions, sphere converges a set with small diameter if parameters satisfy given bound. Moreover, even , special case generalized can achieve phase nonidentical frequency parameters. These results contrast standard = 1 model, which is multistable (i.e., has multiple equilibria), only identical. Hence, paper shows that network models ≥ 2 displays more coherent predictable behavior than desirable property both flocks animals control.
منابع مشابه
Global Practical Node and Edge Synchronization in Kuramoto Networks: A Submodular Optimization Framework
Synchronization underlies phenomena including memory and perception in the brain, coordinated motion of animal flocks, and stability of the power grid. These synchronization phenomena are often modeled through networks of phase-coupled oscillating nodes. Heterogeneity in the node dynamics, however, may prevent such networks from achieving the required level of synchronization. In order to guara...
متن کاملon the relationship between self- regulated learning strategies use and willingness to communicate in the context of writing
این تحقیق به منظور بررسی رابطه بین میزان استراتژیهای خود-تنظیم شده یادگیری و تمایل به ایجاد ارتباط دانشجویان زبان انگلیسی انجام شده است.علاوه بر این،روابط و کنش های موجود بین ریزسنجه های استراتژیهای خود-تنظیم شده یادگُیری ، مهارت نگارش و تمایل به برقراری ارتباط و همچنین تاٍثیرجنسیت دانشجویان زبان انگلیسی در استراتژیهای خود-تنظیم شده یادگیری و تمایل به برقراری ارتباط آنها مورد بررسی قرار گرفته شد.
15 صفحه اولalmost convergence through the generalized de la vallée-poussin mean
lorentz characterized the almost convergence through the concept of uniform convergence of de lavallée-poussin mean. in this paper, we generalize the notion of almost convergence by using the concept ofinvariant mean and the generalized de la vallée-poussin mean. we determine the bounded linear operators forthe generalized σ-conservative, σ-regular and σ-coercive matrices.
متن کاملthe effects of changing roughness on the flow structure in the bends
flow in natural river bends is a complex and turbulent phenomenon which affects the scour and sedimentations and causes an irregular bed topography on the bed. for the reason, the flow hydralics and the parameters which affect the flow to be studied and understand. in this study the effect of bed and wall roughness using the software fluent discussed in a sharp 90-degree flume bend with 40.3cm ...
ذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications physics
سال: 2021
ISSN: ['2399-3650']
DOI: https://doi.org/10.1038/s42005-021-00689-y