Kuramoto order parameters and phase concentration for the Kuramoto-Sakaguchi equation with frustration
نویسندگان
چکیده
منابع مشابه
Frustration tuning and perfect phase synchronization in the Kuramoto-Sakaguchi model.
We present an analysis of conditions under which the dynamics of a frustrated Kuramoto-or Kuramoto-Sakaguchi-model on sparse networks can be tuned to enhance synchronization. Using numerical optimization techniques, linear stability, and dimensional reduction analysis, a simple tuning scheme for setting node-specific frustration parameters as functions of native frequencies and degrees is devel...
متن کاملNonuniversal transitions to synchrony in the Sakaguchi-Kuramoto model.
We investigate the transition to synchrony in a system of phase oscillators that are globally coupled with a phase lag (Sakaguchi-Kuramoto model). We show that for certain unimodal frequency distributions there appear unusual types of synchronization transitions, where synchrony can decay with increasing coupling, incoherence can regain stability for increasing coupling, or multistability betwe...
متن کاملHigh–order Finite Element Methods for the Kuramoto–sivashinsky Equation
Résumé. Nous considérons l’équation de Kuramoto–Sivashinskymunie de conditions aux limites périodiques et d’une donnée initiale. Nous l’approchons en utilisant une méthode d’éléments finis de type Galerkin pour la discrétisation en espace, et un schéma de Runge–Kutta implicite pour la discrétisation en temps. Nous obtenons des estimations d’erreur optimales et discutons de la linéarisation de c...
متن کاملInertial Manifolds for the Kuramoto-sivashinsky Equation
A new theorem is applied to the Kuramoto-Sivashinsky equation with L-periodic boundary conditions, proving the existence of an asymptotically complete inertial manifold attracting all initial data. Combining this result with a new estimate of the size of the globally absorbing set yields an improved estimate of the dimension, N ∼ L.
متن کاملExact Solutions of the Generalized Kuramoto-Sivashinsky Equation
In this paper we obtain exact solutions of the generalized Kuramoto-Sivashinsky equation, which describes manyphysical processes in motion of turbulence and other unstable process systems. The methods used to determine the exact solutions of the underlying equation are the Lie group analysis and the simplest equation method. The solutions obtained are then plotted.
متن کاملذخیره 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 on Pure & Applied Analysis
سال: 2021
ISSN: 1553-5258
DOI: 10.3934/cpaa.2021013