On some dynamical and geometrical properties of the Maxwell-Bloch   equations with a quadratic control
  In this paper, we analyze the stability of the real-valued Maxwell-Bloch equations with a control that depends on state variables quadratically. We also investigate the topological properties of the energy-Casimir map, as well as the existence of periodic orbits and explicitly construct the heteroclinic orbits. 
Tudor Binzar and Cristian Lazureanu
math-ph math.MP