Browsing by Author "Evripidou, Charalambos A."
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Conference Object
A construction of generalized Lotka–volterra systems connected with Sln.(C)
Charalambides, Stelios A.; Damianou, Pantelis A.; Evripidou, Charalambos A. (Springer New York LLC, 2014)We construct a large family of Hamiltonian systems which are connected with root systems of complex simple Lie algebras. These systems are generalizations of the KM system. The Hamiltonian vector field is homogeneous cubic ...
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Article
Generalized Lotka - Volterra systems connected with simple Lie algebras
Charalambides, Stelios A.; Damianou, Pantelis A.; Evripidou, Charalambos A. (2015)We devise a new method for producing Hamiltonian systems by constructing the corresponding Lax pairs. This is achieved by considering a larger subset of the positive roots than the simple roots of the root system of a ...
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Article
Generalized Lotka—Volterra systems connected with simple Lie algebras
Charalambides, Stelios A.; Damianou, Pantelis A.; Evripidou, Charalambos A. (2015)
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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
On generalized Volterra systems
Charalambides, Stelios A.; Damianou, Pantelis A.; Evripidou, Charalambos A. (2015)We construct a large family of evidently integrable Hamiltonian systems which are generalizations of the KM system. The algorithm uses the root system of a complex simple Lie algebra. The Hamiltonian vector field is ...