Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "Charalambides, Stelios 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
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 ...
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Article
So (p, q) Toda systems
Charalambides, Stelios A.; Damianou, Pantelis A. (2013)We define an integrable Hamiltonian system of Toda type associated with the real Lie algebra so(p,q). As usual there exist a periodic and a non-periodic version. We construct, using the root space, two Lax pair representations ...