On the analytic integrability of the 5-dimensional lorenz system for the gravity-wave activity

Jaume Llibre, Radu Saghin, Xiang Zhang

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

4 Citas (Scopus)

Resumen

For the 5-dimensional Lorenz system dU/dT = -VW + bV Z, dV/dT = UW - bUZ, dW/dT = -UV, dX/dT = -Z, dZ/dT = bUV + X (with b ∈ ℝ a parameter), describing coupled Rosby and gravity waves, we prove that it has at most three functionally independent global analytic first integrals and exactly three functionally independent global analytic first integrals when b = 0. In this last case the system is completely integrable with an additional functionally independent first integral which is not globally analytic.

Idioma originalInglés
Páginas (desde-hasta)531-537
Número de páginas7
PublicaciónProceedings of the American Mathematical Society
Volumen142
N.º2
DOI
EstadoPublicada - 2014
Publicado de forma externa

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