LIOUVILLIAN AND ANALYTIC FIRST INTEGRALS FOR THE BRUSSELATOR SYSTEM

We characterize the Liouvillian and analytic first integrals for the polynomial differential systems of the form x′ = a - (b + 1)x + x2y, y′ = bx - x2y, with a, b ∈ ℝ, called the Brusselator differential systems.

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