© Canadian Mathematical Society 2015. We consider the class of polynomial diòerential systems of the form x = λx-y+Pn(x, y), Y = x +jy+Qn(x, y), where Pn and n are homogeneous polynomials of degree n. For this class of diòerential systems we summarize the known results for the existence of limit cycles, and we provide new results for their nonexistence and existence.
- Diòerential equations on the cylinder
- Limit cycles
- Polynomial diòerential system