The asymptotic behavior of the order parameter for the infinite-N Kuramoto model

2012 ◽  
Vol 22 (4) ◽  
pp. 043118 ◽  
Author(s):  
Renato E. Mirollo
Keyword(s):  
Asymptotic Behavior ◽  
Order Parameter ◽  
Kuramoto Model

scholarly journals Asymptotic Behavior of the Order Parameter in a Stochastic Sandpile

2005 ◽  
Vol 118 (1-2) ◽  
pp. 1-25 ◽  
Author(s):  
Ronaldo Vidigal ◽  
Ronald Dickman
Keyword(s):  
Asymptotic Behavior ◽  
Order Parameter

scholarly journals Distribution of Order Parameter for Kuramoto Model

2015 ◽  
Vol 3 (9) ◽  
pp. 52-68
Author(s):  
Hui Wu ◽  
Dongwook Kim
Keyword(s):  
Order Parameter ◽  
Initial Conditions ◽  
Oscillatory System ◽  
Kuramoto Model ◽  
Chemical System ◽  
Phase Oscillators ◽  
Numerical Result ◽  
Coupled Nonlinear Oscillators ◽  
Large Populations ◽  
The Kuramoto Model

The synchronization in large populations of interacting oscillators has been observed abundantly in nature, emergining in fields such as physical, biological and chemical system. For this reason, many scientists are seeking to understand the underlying mechansim of the generation of synchronous patterns in oscillatory system. The synchronization is analyzed in one of the most representative models of coupled phase oscillators, the Kuramoto model. The Kuramoto model can be used to understand the emergence of synchronization in nextworks of coupled, nonlinear oscillators. In particular, this model presents a phase transition from incoherence to synchronization. In this paper, we investigated the distribution of order parameter γ which describes the strength of synchrony of these oscillators. The larger the order parameter γ is, the more extent the oscillators are synchronized together. This order parameter γ is a critical parameter in the Kuramoto model. Kuramoto gave a initial estimate equation for the value of the order parameter by giving the value of the coupling constant. But our numerical results show that the distribution of the order parameter is slightly different from Kuramoto’s estimation. We gave an estimation for the distribution of order parameter for different values of initial conditions. We discussed how the numerical result will be distributed around Kuramoto’s analytical equation.

EXTENDED dx2-y2-WAVE GAP ANISOTROPY IN THREE MODEL THEORIES OF HIGH-Tc SUPERCONDUCTIVITY

2000 ◽  
Vol 14 (29n31) ◽  
pp. 3306-3311 ◽  
Author(s):  
G. G. N. ANGILELLA ◽  
A. SUDBØ ◽  
R. PUCCI
Keyword(s):  
Asymptotic Behavior ◽  
Electronic Properties ◽  
Superconducting State ◽  
Order Parameter ◽  
Superconducting Order Parameter ◽  
Experimental Results ◽  
High Tc ◽  
Intermediate Energies ◽  
Gap Anisotropy ◽  
D Wave

Recent experimental results have evidenced a remarkable structure in the k-dependence of the d-wave superconducting order parameter of underdoped high-Tc cuprates near a node. Here, it is pointed out that deviations from a simple d-wave superconducting spectrum induce corrections to the superconducting DOS and the low-T asymptotic behavior of various electronic properties in the superconducting state at intermediate energies. Such corrections depend on the theoretical scheme employed to describe the deviations.

scholarly journals Asymptotic Behavior of Discrete Kuramoto Model on Graphs

Authorea ◽  
2020 ◽  
Author(s):  
chun bo lian ◽  
ge bin ◽  
kai xin xing
Keyword(s):  
Asymptotic Behavior ◽  
Kuramoto Model
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