Talk:Kuramoto model

Latest comment: 2 years ago by Lining Huo in topic Untitled

Untitled

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I'd like to add discussions of the following:

  • stability of various equilibria
  • variations on the model
  • unresolved questions about the model
  • applications of the model

I'd also like to make graphs or possibly videos showing:

  • the various solutions, for the same system with different K
  • the bifurcation diagram as K various

There should also be some references.

Dannya222 05:52, 30 October 2005 (UTC)Reply

Nice, put it on. You can find something i have been working on in this .pdf https://sourceforge.net/p/iftthesiscultur/code/ci/master/tree/qualify/q_lckm_v3.pdf . Right now i cant organize properly for wikipedia, but i will when the midterm exams are finished

Stochastic Variation

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This stochastic variation is also soluble:

Where the equilibrium state is described by energy function

 

Free energy in the thermodynamic limit

 

may be written

 

Other variables of interest follow as corollaries.

Obviously I could be more explicit if I were to add this to the main article...

Ali, July 2006

Hi Ali, what is this thermodynamics about ? there is no conservative hamiltonian in this system, nor there is any thermodynamical equations that holds true. Am i wrong ? or these equations are just extrapolation without any prior rigorous basis ? — Preceding unsigned comment added by 187.39.189.83 (talk) 08:10, 26 June 2013 (UTC)Reply

References

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Does anyone have a reference to Kuramoto's paper? That should be included. --M0nstr42 14:41, 19 October 2006 (UTC)Reply

I have just inserted the relevant references (Kuramoto's first paper and his book). Ref: Strogatz, Physica D (2000).

The Reference to Cumin et al. seems a bit off-topic here (too special), unless it is explained in the article. Erik17 (talk) 14:27, 7 January 2013 (UTC)Reply

Partial Derivatives

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Hi, there is no reason for partial derivatives in kuramoto equations, since they are EDO, if there are any space dependence, it must be made explicit, otherwise it is a EDO and is not to be confused by the continuum limit. I changed that, thank you

Variations on the Models

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Hi all, i settled the v0 of this part of the article, giving a small hint of the structure and the possible contents. Obvious a lot must be made and nothing there is permanent, iam expecting revisions, thank you. — Preceding unsigned comment added by 187.39.189.83 (talk) 22:05, 26 June 2013 (UTC)Reply

Who is Daido

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Hi, does anyone know who is Daido in "Kuramoto-Daido model"? I think is Hiroaki Daido, but I'm not sure. Lining Huo (talk) 15:19, 11 August 2022 (UTC)Reply

WikiProject class rating

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This article was automatically assessed because at least one WikiProject had rated the article as start, and the rating on other projects was brought up to start class. BetacommandBot 09:57, 10 November 2007 (UTC)Reply