Browsing by Author "Damianou, Pantelis A."
Now showing items 120 of 47

Article
BogoyavlenskyToda systems of type DN
Damianou, Pantelis A.; Kouzaris, S. P. (2003)In this paper we confirm a conjecture of Flaschka which relates the hierarchy of Poisson brackets and master symmetries for the BogoyavleskyToda systems of type Dn with fundamental invariants of the corresponding Lie ...

Article
BogoyavlenskyVolterra and Birkhoff integrable systems
Damianou, Pantelis A.; Kouzaris, S. P. (2004)In this paper we examine an interesting connection between the generalized Volterra lattices of Bogoyavlensky and a special case of an integrable system defined by Sklyanin. The Sklyanin system happens to be one of the ...

Article
Classification of noether symmetries for Lagrangians with three degrees of freedom
Damianou, Pantelis A.; Sophocleous, Christodoulos (2004)The noether symmetries of the EulerLagrange equations for a Hamiltonian system with three degrees were classified. All groups were classified that appeared as symmetries of a general Hamiltonians system of n degrees of ...

Conference Object
A computer simulation scenario analysis approach as a decision support tool for transportation systems planning
Papageorgiou, George; Damianou, Pantelis A.; Pitsillides, Andreas; Aphamis, Thrasos; Ioannou, Petros A. (2007)As the level of traffic congestion rises and the complexity of traffic networks increases, the development of effective transportation strategies becomes the most challenging task for every transport authority. Meanwhile, ...

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 ...

Article
Darboux polynomials for lotkavolterra systems in three dimensions
Christodoulides, Y. T.; Damianou, Pantelis A. (2009)We consider LotkaVolterra systems in three dimensions depending on three real parameters. By using elementary algebraic methods we classify the Darboux polynomials (also known as second integrals) for such systems for ...

Article
From the Toda lattice to the Volterra lattice and back
Damianou, Pantelis A.; Fernandez, R. L. (2002)We discuss the relationship between the multiple Hamiltonian structures of the generalized Toda lattices and that of the generalized Volterra lattice.

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 ...

Article
Generalized Lotka—Volterra systems connected with simple Lie algebras
Charalambides, Stelios A.; Damianou, Pantelis A.; Evripidou, Charalambos A. (2015)

Article
A gentle (without Chopping) approach to the full Kostanttoda lattice
Damianou, Pantelis A.; Magri, F. (2005)In this paper we propose a new algorithm for obtaining the rational integrals of the full KostantToda lattice. This new approach is based on a reduction of a biHamiltonian system on gl(n, R). This system was obtained by ...

Article
Integrable hierarchies and the modular class
Damianou, Pantelis A.; Fernandes, R. L. (2008)It is wellknown that the PoissonNijenhuis manifolds, introduced by KosmannSchwarzbach and Magri form the appropriate setting for studying many classical integrable hierarchies. In order to define the hierarchy, one ...

Article
Integrable reductions of the BogoyavlenskijItoh LotkaVolterra systems
Damianou, Pantelis A.; Evripidou, Charalambos A.; Kassotakis, P.; Vanhaecke, P. (2017)Given a constant skewsymmetric matrix A, it is a difficult open problem whether the associated LotkaVolterra system is integrable or not.We solve this problem in a special case when A is a Toeplitz matrix where all ...

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 KostantToda lattice and the full KostantToda lattice and we discuss their integrability. There is one such system for every ...

Article
Lax pairs, symmetries and recursion operators for Toda lattices
Damianou, Pantelis A. (1997)With the exception of some minor results and some conjectures, this paper is a survey of the finite nonperiodic Toda lattices and some of their generalizations. The areas investigated include Lax pairs, master symmetries, ...

Article
Looking for the integrating factor: The darboux approach
Christodoulides, Y. T.; Damianou, Pantelis A. (2014)We present a method for the solution of firstorder ordinary differential equations based on a class of polynomials known as Darboux polynomials. Integrating factors, used to convert the equations in exact form, and constants ...

Article
LotkaVolterra equations in three dimensions satisfying the KowalevskiPainlevé property
Constandinides, Kyriacos; Damianou, Pantelis A. (2011)We examine a class of LotkaVolterra equations in three dimensions which satisfy the KowalevskiPainlevé property. We restrict our attention to LotkaVolterra systems defined by a skew symmetric matrix. We obtain a complete ...

Article
Master symmetries and Rmatrices for the Toda lattice
Damianou, Pantelis A. (1990)A hierarchy of vector fields (master symmetries) and homogeneous nonlinear Poisson structures associated with the Toda lattice are constructed and the various connections between them are investigated. These brackets may ...

Article
Modelling and simulation of transportation systems: A scenario planning approach
Papageorgiou, George; Damianou, Pantelis A.; Pitsillides, Andreas; Aphamis, Thrasos; Charalambous, Demetris; Ioannou, Petros A. (2009)It is increasingly realized that building more roads does not solve the traffic congestion problem but actually makes it worse. Instead of adding capacity to our roads there should be an effort to find ways in order to ...

Article
The modular hierarchy of the Toda lattice
Agrotis, Maria A.; Damianou, Pantelis A. (2007)The modular vector field plays an important role in the theory of Poisson manifolds and is intimately connected with the Poisson cohomology of the space. In this paper we investigate its significance in the theory of ...

Article
Multiple Hamiltonian structure of BogoyavlenskyToda lattices
Damianou, Pantelis A. (2004)This paper is mainly a review of the multiHamiltonian nature of Toda and generalized Toda lattices corresponding to the classical simple Lie groups but it includes also some new results. The areas investigated include ...