Browsing by Author "Vanhaecke, P."
Now showing items 1-4 of 4
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Article
Integrable reductions of the Bogoyavlenskij-Itoh Lotka-Volterra systems
Damianou, Pantelis A.; Evripidou, Charalambos A.; Kassotakis, P.; Vanhaecke, P. (2017)Given a constant skew-symmetric matrix A, it is a difficult open problem whether the associated Lotka-Volterra system is integrable or not.We solve this problem in a special case when A is a Toeplitz matrix where all ...
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Article
Intermediate Toda systems
Damianou, Pantelis A.; Sabourin, H.; Vanhaecke, P. (2015)We construct a large family of Hamiltonian systems which interpolate between the classical Kostant-Toda lattice and the full Kostant-Toda lattice and we discuss their integrability. There is one such system for every ...
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Conference Object
Nilpotent orbits in simple Lie algebras and their transverse Poisson structures
Damianou, Pantelis A.; Sabourin, H.; Vanhaecke, P. (2008)We consider nilpotent adjoint orbits in complex simple Lie algebras and we examine their transverse Poisson structures. We specialize to the two extreme and most interesting cases, i.e. the subregular and minimal orbits. ...
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Article
Transverse poisson structures to adjoint orbits in semisimple lie algebras
Damianou, Pantelis A.; Sabourin, H.; Vanhaecke, P. (2007)We study the transverse Poisson structure to adjoint orbits in a complex semisimple Lie algebra. The problem is first reduced to the case of nilpotent orbits. We prove then that in suitably chosen quasihomogeneous coordinates, ...