更改

其中参数<math>a_i</math>和<math>b_i</math>必须估计。例如，可以使用保留交互函数的前四个傅里叶分量的耦合振荡器来复制一组弱耦合的[[Hodgkin–Huxley模型|Hodgkin–Huxley神经元]]的同步<ref>{{cite journal | last1 = Hansel | first1 = D. | last2 = Mato | first2 = G. | last3 = Meunier | first3 = C | issue = 5 | journal = Europhysics Letters | pages = 367–372 | title = 弱耦合Hodgkin-Huxley神经元的相位动力学 | volume = 23 | year = 1993|bibcode = 1993EL.....23..367H |doi = 10.1209/0295-5075/23/5/011 | s2cid = 250884499 }}</ref>。引入更高阶的相位交互项也会引发有趣的动态现象，例如部分同步状态<ref>{{Cite journal|last1=Clusella|first1=Pau|last2=Politi|first2=Antonio|last3=Rosenblum|first3=Michael|date=2016|title=自洽部分同步的最小模型|journal=New Journal of Physics|language=en|volume=18|issue=9|pages=093037|doi=10.1088/1367-2630/18/9/093037|issn=1367-2630|bibcode=2016NJPh...18i3037C|arxiv=1607.07178|s2cid=126227664 }}</ref>、[[异离心循环]]<ref>{{cite journal | last1 = Hansel | first1 = D. | last2 = Mato | first2 = G. | last3 = Meunier | first3 = C | title = 全球耦合相位振荡器中的聚类和缓慢切换 | journal = Physical Review E | volume = 48 | issue = 5 | pages = 3470–3477 |doi=10.1103/physreve.48.3470 | pmid = 9961005 | year = 1993|bibcode = 1993PhRvE..48.3470H | url = https://hal.science/hal-02387163/file/Hansel1993.pdf }}</ref>，以及[[混沌理论|混沌动力学]]<ref>{{cite journal | last1 = Bick | first1 = C. | last2 = Timme | first2 = M. | last3 = Paulikat | first3 = D. | last4 = Rathlev | first4 = D. | last5 = Ashwin | first5 = P. | title = 对称相位振荡器网络中的混沌 | journal = Physical Review Letters | volume = 107 |issue = 24 | pages = 244101 | year = 2011 | doi = 10.1103/PhysRevLett.107.244101 | pmid = 22243002 | arxiv = 1105.2230 | bibcode = 2011PhRvL.107x4101B | s2cid = 16144737 }}</ref>。

其中参数<math>a_i</math>和<math>b_i</math>必须估计。例如，可以使用保留交互函数的前四个傅里叶分量的耦合振荡器来复制一组弱耦合的[[Hodgkin–Huxley模型|Hodgkin–Huxley神经元]]的同步<ref>{{cite journal | last1 = Hansel | first1 = D. | last2 = Mato | first2 = G. | last3 = Meunier | first3 = C | issue = 5 | journal = Europhysics Letters | pages = 367–372 | title = 弱耦合Hodgkin-Huxley神经元的相位动力学 | volume = 23 | year = 1993|bibcode = 1993EL.....23..367H |doi = 10.1209/0295-5075/23/5/011 | s2cid = 250884499 }}</ref>。引入更高阶的相位交互项也会引发有趣的动态现象，例如部分同步状态<ref>{{Cite journal|last1=Clusella|first1=Pau|last2=Politi|first2=Antonio|last3=Rosenblum|first3=Michael|date=2016|title=自洽部分同步的最小模型|journal=New Journal of Physics|language=en|volume=18|issue=9|pages=093037|doi=10.1088/1367-2630/18/9/093037|issn=1367-2630|bibcode=2016NJPh...18i3037C|arxiv=1607.07178|s2cid=126227664 }}</ref>、[[异离心循环]]<ref>{{cite journal | last1 = Hansel | first1 = D. | last2 = Mato | first2 = G. | last3 = Meunier | first3 = C | title = 全球耦合相位振荡器中的聚类和缓慢切换 | journal = Physical Review E | volume = 48 | issue = 5 | pages = 3470–3477 |doi=10.1103/physreve.48.3470 | pmid = 9961005 | year = 1993|bibcode = 1993PhRvE..48.3470H | url = https://hal.science/hal-02387163/file/Hansel1993.pdf }}</ref>，以及[[混沌理论|混沌动力学]]<ref>{{cite journal | last1 = Bick | first1 = C. | last2 = Timme | first2 = M. | last3 = Paulikat | first3 = D. | last4 = Rathlev | first4 = D. | last5 = Ashwin | first5 = P. | title = 对称相位振荡器网络中的混沌 | journal = Physical Review Letters | volume = 107 |issue = 24 | pages = 244101 | year = 2011 | doi = 10.1103/PhysRevLett.107.244101 | pmid = 22243002 | arxiv = 1105.2230 | bibcode = 2011PhRvL.107x4101B | s2cid = 16144737 }}</ref>。

== Availability ==

== 可用性 ==

* [https://github.com/annoviko/pyclustering pyclustering] library includes a Python and C++ implementation of the Kuramoto model and its modifications. Also the library consists of oscillatory networks (for cluster analysis, pattern recognition, graph coloring, image segmentation) that are based on the Kuramoto model and phase oscillator.

 

[https://github.com/annoviko/pyclustering pyclustering] 库包含了库拉莫托模型及其修改版本的 Python 和 C++ 实现。此外，该库还包含基于库拉莫托模型和相位振荡器的振荡网络（用于集群分析、模式识别、图着色和图像分割）。

== See also ==

== See also ==