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- W1965084470 abstract "For the $5$-dimensional Lorenz system begin{eqnarray*} dU/dT &=& -VW+b VZ, dV/dT &=& UW-b UZ, dW/dT &=& -UV, dX/dT &=& -Z, dZ/dT &=& b UV+X end{eqnarray*} (with $bin mathbb {R}$ 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." @default.
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- W1965084470 date "2013-10-22" @default.
- W1965084470 modified "2023-09-28" @default.
- W1965084470 title "On the analytic integrability of the $5$–dimensional Lorenz system for the gravity–wave activity" @default.
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- W1965084470 doi "https://doi.org/10.1090/s0002-9939-2013-11773-9" @default.
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