2 papers
math.DS2015
A hybrid symbolic-numerical approach to the center-focus problem
Adam Mahdi, Claudio Pessoa, Jonathan D. Hauenstein
We propose a new hybrid symbolic-numerical approach to the center-focus problem. The method allowed us to obtain center conditions for a three-dimensional system of differential eq…
math-ph2014
Integrability of the Hide--Skeldon--Acheson dynamo
Adam Mahdi, Claudia Valls
In this work we consider the Hide-Skeldon-Acheson dynamo model \[ \dot x=x(y-1)-βz, \quad \dot y =α(1-x^2)-κy, \quad \dot z =x-λz, \] where and are parameters. We contr…