We characterize the Liouvillian and analytic first integrals for the polynomial differential systems of the form x′ = a -(b + 1)x + x 2y, y′ = bx -x 2y, with a, b ∈ , called the Brusselator differential systems. © J. Llibre and C. Valls.
- Brusselator differential systems
- Darboux polynomial
- Liouvillian first integral
- analytic first integral
- exponential factor