We study the reversible cubic vector fields of the form = -y + ax 2 + bxy + cy2 - y(x2 + y2), = x + dx2 + exy + fy2 + x(x2 + y2), having simultaneously a center at infinity and at the origin. In this paper, the subclass of these reversible systems having collinear or infinitely many singularities are classified with respect to topological equivalence.
|Journal||International Journal of Bifurcation and Chaos in Applied Sciences and Engineering|
|Publication status||Published - Nov 2012|
- Center-focus problem
- cubic vector fields
- global classification of phase portraits
- reversible planar vector fields