The Rabinovich system can be written as over(x, ̇) = h y - v1 x + y z, over(y, ̇) = h x - v2 y - x z and over(z, ̇) = - v3 z + x y with h, v1, v2 and v3 being real parameters. In this paper we characterize its global analytic first integrals. © 2008 Elsevier B.V. All rights reserved.
- Analytic integrability
- Rabinovich system