Cover Image

Emergent behaviors of the singular continuum Kuramoto model and its graph limit

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Chen, Li, Ha, Seung-Yeal, Wang, Xinyu, Zhidkova, Valeriia
Format:	Preprint
Published:	2025
Subjects:	Dynamical Systems 34C15, 45J05, 45M05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Continuum limit of the Kuramoto model with random natural frequencies on uniform graphs
by: Yagasaki, Kazuyuki
Published: (2025)

Bifurcations of twisted solutions in a continuum limit for the Kuramoto model on nearest neighbor graphs
by: Yagasaki, Kazuyuki
Published: (2025)

Bifurcations of synchronized solutions in a continuum limit of the Kuramoto model with two-mode interaction depending on two graphs
by: Yagasaki, Kazuyuki
Published: (2025)

Feedback control of the Kuramoto model defined on uniform graphs I: Deterministic natural frequencies
by: Yagasaki, Kazuyuki
Published: (2025)

Feedback control of twisted states in the Kuramoto model on nearest neighbor and complete simple graphs
by: Yagasaki, Kazuyuki
Published: (2026)

Bifurcations and stability of synchronized solutions in the Kuramoto model with uniformly spaced natural frequencies
by: Yagasaki, Kazuyuki
Published: (2025)

Uniform-in-time asymptotic limits of generalized Kuramoto models
by: Cho, Hangjun, et al.
Published: (2025)

Asymptotic behavior of solutions to some classes of multi-order fractional cooperative systems
by: Thinh, L. V., et al.
Published: (2024)

Existence and Uniqueness of Fast Traveling Pulses in Singularly Perturbed Nonlocal Neural Fields With Heaviside Nonlinearities: a Complete Proof
by: Dyson, Alan
Published: (2025)

A constructive approach for investigating the stability of incommensurate fractional differential systems
by: Diethelm, Kai, et al.
Published: (2023)

On the Mittag-Leffler stability of mixed-order fractional homogeneous cooperative delay systems
by: Thinh, L. V., et al.
Published: (2024)

A generalized fractional Halanay inequality and its applications
by: Thinh, L. V., et al.
Published: (2024)

Perfect stationary solutions of reaction-diffusion equations on lattices and regular graphs
by: Švígler, Vladimír, et al.
Published: (2024)

Three elliptic closed characteristics on the non-degenerate compact convex hypersurfaces in R^6
by: Liu, Lu, et al.
Published: (2026)

Quantitative relaxation dynamics from generic initial configurations in the inertial Kuramoto model
by: Cho, Hangjun, et al.
Published: (2025)

The oscillatory solutions of multi-order fractional differential equations
by: Thai, H. D., et al.
Published: (2024)

A note on spectral theory of integral-functional Volterra operators
by: Sidorov, Denis
Published: (2024)

Inverse problems for history-enriched linear model reduction
by: Vijaywargiya, Arjun, et al.
Published: (2026)

Recurrence Coefficients for Orthogonal Polynomials with a Logarithmic Weight Function
by: Deift, Percy, et al.
Published: (2023)

Polynomial slow-fast systems on the Poincaré-Lyapunov sphere
by: Perez, Otavio Henrique, et al.
Published: (2024)

Darboux first integrals of Kolmogorov systems with invariant $n$-sphere
by: Jana, Supriyo, et al.
Published: (2026)

Some remarkable autonomous systems
by: Wone, Oumar
Published: (2023)

Analytic weak-stable manifolds in unfoldings of saddle-nodes
by: Kristiansen, Kristian Uldall, et al.
Published: (2024)

Optimal stability results on color-biased Hamilton cycles
by: Chen, Wenchong, et al.
Published: (2025)

Fractional Sturm-Liouville problem on metric graphs
by: Turemuratova, A. A., et al.
Published: (2025)

Geometric singular perturbation analysis of the active metabolic oscillator in pancreatic \b{eta}-cells
by: Moolchand, Prannath, et al.
Published: (2026)

Controllability problem of an evolution equation with singular memory
by: Arora, Sumit, et al.
Published: (2025)

Visibility of heteroclinic networks
by: Castro, Sofia B. S. D., et al.
Published: (2025)

Fuzzy Volterra Integral Equation with Piecewise Continuous Kernel: Theory and Numerical Solution
by: Noeiaghdam, Samad, et al.
Published: (2023)

First Integrals of Homogeneous Vector Fields and the Eigenmirror Problem of Geometric Optics
by: Hicks, R. Andrew
Published: (2024)

Inertia perturbation theory for the inertial Kuramoto model
by: Cho, Hangjun, et al.
Published: (2025)

Abelian integrals for polynomials with trivial global monodromy on $\mathbb{C}^2$
by: Muciño-Raymundo, Jesús, et al.
Published: (2025)

Time-Dependent Acoustic Waves Generated by Multiple Resonant Bubbles: Application to Acoustic Cavitation
by: Mukherjee, Arpan, et al.
Published: (2023)

Relaxation dynamics of the continuum Kuramoto model with non-integrable kernels
by: Chen, Li, et al.
Published: (2026)

Invariant tori and boundedness of solutions of non-smooth oscillators with Lebesgue integrable forcing term
by: Novaes, Douglas D., et al.
Published: (2023)

Unbounded dynamics for vector fields
by: Igra, Eran
Published: (2025)

On canonical sandpile actions of embedded graphs
by: Tóthmérész, Lilla
Published: (2025)

Concentration limit for non-local dissipative convection-diffusion kernels on the hyperbolic space
by: González, María del Mar, et al.
Published: (2023)

On the exponential synchronization for the asymmetric second-order Kuramoto model
by: Zhu, Tingting, et al.
Published: (2025)

Synchronization of second-order Kuramoto model with frustration on strongly connected digraph
by: Zhu, Tingting, et al.
Published: (2025)