Global analytic integrability of the Rabinovich system

Jaume Llibre, Clàudia Valls

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)1762-1771
JournalJournal of Geometry and Physics
Volume58
DOIs
Publication statusPublished - 1 Dec 2008

Keywords

  • Analytic integrability
  • Rabinovich system

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