Poisson structures in \(\mathbb R^3\). (English) Zbl 1056.37073

Gürses, Metin; Zheltukhin, Kostyantyn

Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 5th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 5–12, 2003. Sofia: Bulgarian Academy of Sciences (ISBN 954-84952-8-7/pbk). 144-148 (2004).

Summary: The Poisson structures and the Hamiltonian formulation of three-dimensional systems are considered in general. A class of degenerate structures in higher dimensions is also briefly discussed.
For the entire collection see [Zbl 1048.53002].

MSC:

37J05	Relations of dynamical systems with symplectic geometry and topology (MSC2010)
53D17	Poisson manifolds; Poisson groupoids and algebroids

Keywords:

Poisson structures; bi-Hamilton systems; integrability