Аннотация:
The necessary and sufficient conditions are derived for the existence of a Hamiltonian structure for 3-component non-diagonalizable systems of hydrodynamic type. The conditions are formulated in terms of tensor invariants defined by the metric hij(u) constructed from the Haantjes (1,2)-tensor.
Образец цитирования:
O. I. Bogoyavlenskij, A. P. Reynolds, “Criteria for existence of a Hamiltonian structure”, Regul. Chaotic Dyn., 15:4-5 (2010), 431–439
\RBibitem{BogRey10}
\by O. I. Bogoyavlenskij, A. P. Reynolds
\paper Criteria for existence of a Hamiltonian structure
\jour Regul. Chaotic Dyn.
\yr 2010
\vol 15
\issue 4-5
\pages 431--439
\mathnet{http://mi.mathnet.ru/rcd508}
\crossref{https://doi.org/10.1134/S1560354710040039}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2679757}
\zmath{https://zbmath.org/?q=an:1252.35187}