Article ID Journal Published Year Pages File Type
1895127 Journal of Geometry and Physics 2008 10 Pages PDF
Abstract

The Rabinovich system can be written as ẋ=hy−v1x+yz, ẏ=hx−v2y−xz and ż=−v3z+xy with hh, v1v1, v2v2 and v3v3 being real parameters. In this paper we characterize its global analytic first integrals.

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Physical Sciences and Engineering Mathematics Mathematical Physics
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Global analytic integrability of the Rabinovich system
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