Three Formulations of the Kuramoto Model as a System of Polynomial Equations
Three Formulations of the Kuramoto Model as a System of Polynomial Equations
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作为多项式方程组的 Kuramoto 模型的三种表述
DOI：
10.1109/allerton.2019.8919934
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
M. Niemerg
中科院分区：
文献类型：
--
作者：
Tianran Chen;Jakub Marecek;D. Mehta;M. Niemerg
我们比较了作为多项式方程组的Kuramoto模型的平稳方程的三种形式。在比较中，我们提出了基于Bernstein， Kushnirenko和Khovanskii的工作的实际均衡数量的界限，以及基于Lasserre的工作的均衡集优化方法的性能，这两者都可能是独立的兴趣。
We compare three formulations of stationary equations of the Kuramoto model as systems of polynomial equations. In the comparison, we present bounds on the numbers of real equilibria based on the work of Bernstein, Kushnirenko, and Khovanskii, and performance of methods for the optimisation over the set of equilibria based on the work of Lasserre, both of which could be of independent interest.