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The Motsch-Tadmor (MT) model is a variant of the Cucker-Smale model with a normalized communication weight function. The normalization poses technical challenges in analyzing the collective behavior due to the absence of conservation of momentum. We
Externí odkaz:
http://arxiv.org/abs/2408.10213
Autor:
Stewart, Ian, Wood, David
We analyse the dynamics of networks in which a central pattern generator (CPG) transmits signals along one or more feedforward chains in a synchronous or phase-synchronous manner. Such propagating signals are common in biology, especially in locomoti
Externí odkaz:
http://arxiv.org/abs/2302.04198
The Kuramoto--Sakaguchi model is a modification of the well-known Kuramoto model that adds a phase-lag paramater, or "frustration" to a network of phase-coupled oscillators. The Kuramoto model is a flow of gradient type, but adding a phase-lag breaks
Externí odkaz:
http://arxiv.org/abs/1803.07962
Given a graph Laplacian with positively and negatively weighted edges we are interested in characterizing the set of weights that give a particular spectral index, i.e.~give a prescribed number of positive, zero, and negative eigenvalues. One of the
Externí odkaz:
http://arxiv.org/abs/1503.01069
Fully Synchronous Solutions and the Synchronization Phase Transition for the Finite N Kuramoto Model
We present a detailed analysis of the stability of synchronized solutions to the Kuramoto system of oscillators. We derive an analytical expression counting the dimension of the unstable manifold associated to a given stationary solution. From this w
Externí odkaz:
http://arxiv.org/abs/1111.5302
The Kuramoto–Sakaguchi model is a generalization of the well-known Kuramoto model that adds a phase-lag paramater or “frustration” to a network of phase-coupled oscillators. The Kuramoto model is a flow of gradient type, but adding a phase-lag
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5d5e3cda08c9b5ad3a92790c30975647
http://arxiv.org/abs/1803.07962
http://arxiv.org/abs/1803.07962
Publikováno v:
Chaos: An Interdisciplinary Journal of Nonlinear Science. 22:033133
We present a detailed analysis of the stability of synchronized solutions to the Kuramoto system of oscillators. We derive an analytical expression counting the dimension of the unstable manifold associated to a given stationary solution. From this w