Piata Victoriei nr. 2, Timisoara, 300006, Romania
Department of Mathematics, “Politehnica” University of Timişoara
Caşu I., Lăzureanu C.
Stability and Integrability Aspects for the Maxwell–Bloch Equations with the Rotating Wave Approximation
2017, vol. 22, no. 2, pp. 109-121
Infinitely many Hamilton–Poisson realizations of the five-dimensional real valued Maxwell–Bloch equations with the rotating wave approximation are constructed and the energy-Casimir mapping is considered. Also, the image of this mapping is presented and connections with the equilibrium states of the considered system are studied. Using some fibers of the image of the energy-Casimir mapping, some special orbits are obtained. Finally, a Lax formulation of the system is given.
Lăzureanu C., Bînzar T.
Symplectic Realizations and Symmetries of a Lotka–Volterra Type System
2013, vol. 18, no. 3, pp. 203-213
In this paper a Lotka$ndash;Volterra type system is considered. For such a system, bi-Hamiltonian formulation, symplectic realizations and symmetries are presented.