Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1109/ALLERTON.2019.8919934 | 2019 57TH ANNUAL ALLERTON CONFERENCE ON COMMUNICATION, CONTROL, AND COMPUTING (ALLERTON) |
Keywords | Field | DocType |
Kuramoto model,Dynamic systems,Algebraic approaches,Polynomial methods,Multivariable polynomials | Applied mathematics,Mathematical optimization,Synchronization,Lattice (order),Upper and lower bounds,Computer science,System of polynomial equations,Kuramoto model | Conference |
ISSN | Citations | PageRank |
2474-0195 | 0 | 0.34 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tianran Chen | 1 | 0 | 0.34 |
| Jakub Marecek | 2 | 0 | 0.34 |
| Dhagash Mehta | 3 | 15 | 8.26 |
| Matthew E. Niemerg | 4 | 6 | 2.53 |