Cristian Lăzureanu

Address: Piata Victoriei nr. 2, Timisoara, 300006, Romania

University: Politehnica University of Timişoara

Publications:

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

Abstract

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.

Keywords: Maxwell–Bloch equations, Hamiltonian dynamics, energy-Casimir mapping, homoclinic orbits, periodic orbits, elliptic functions

Citation: Caşu I., Lăzureanu C., Stability and Integrability Aspects for the Maxwell–Bloch Equations with the Rotating Wave Approximation, Regular and Chaotic Dynamics, 2017, vol. 22, no. 2, pp. 109-121

DOI:10.1134/S1560354717020010

Lăzureanu C., Bînzar T.

Symplectic Realizations and Symmetries of a Lotka–Volterra Type System
2013, vol. 18, no. 3, pp. 203-213

Abstract

In this paper a Lotka$ndash;Volterra type system is considered. For such a system, bi-Hamiltonian formulation, symplectic realizations and symmetries are presented.

Keywords: Lotka–Volterra system, symmetries, Hamiltonian dynamics, Lie groups

Citation: Lăzureanu C., Bînzar T., Symplectic Realizations and Symmetries of a Lotka–Volterra Type System, Regular and Chaotic Dynamics, 2013, vol. 18, no. 3, pp. 203-213

DOI:10.1134/S1560354713030015

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