On classical -matrix for the Kowalevski gyrostat on .
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Komarov, Igor V., Tsiganov, Andrey V. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Giorgilli, Antonio, Locatelli, Ugo (1997)
Mathematical Physics Electronic Journal [electronic only]
S. Janeczko (2000)
Annales Polonici Mathematici
Let (P,ω) be a symplectic manifold. We find an integrability condition for an implicit differential system D' which is formed by a Lagrangian submanifold in the canonical symplectic tangent bundle (TP,ὡ).
Tsyganov, A.V. (2004)
Zapiski Nauchnykh Seminarov POMI
Prykarpatsky, Anatoliy K., Taneri, Ufuk, Samoylenko, Valeriy (2001)
Applied Mathematics E-Notes [electronic only]
Takuo Fukuda, Stanisław Janeczko (2008)
Banach Center Publications
The notion of an implicit Hamiltonian system-an isotropic mapping H: M → (TM,ω̇) into the tangent bundle endowed with the symplectic structure defined by canonical morphism between tangent and cotangent bundles of M-is studied. The corank one singularities of such systems are classified. Their transversality conditions in the 1-jet space of isotropic mappings are described and the corresponding symplectically invariant algebras of Hamiltonian generating functions are calculated.
Thomas Kappeler, Yuji Kodama, Andras Némethi (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Lubliner, J. (1984)
International Journal of Mathematics and Mathematical Sciences
Zapiski naucnych seminarov POMI
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