Center-Focus Problem for Discontinuous Planar Differential Equations

@article{Gasull2003CenterFocusPF,
title={Center-Focus Problem for Discontinuous Planar Differential Equations},
author={Armengol Gasull and Joan Torregrosa},
journal={I. J. Bifurcation and Chaos},
year={2003},
volume={13},
pages={1755-1765}
}

We study the center-focus problem as well as the number of limit cycles which bifurcate from a weak focus for several families of planar discontinuous ordinary differential equations. Our computations of the return map near the critical point are performed with a new method based on a suitable decomposition of certain one-forms associated with the expression of the system in polar coordinates. This decomposition simplifies all the expressions involved in the procedure. Finally, we apply our… CONTINUE READING