Synopsis of my research fields:
Control of non linear dynamical systems
My research is aimed at developing modeling, dynamical analysis and control methods of dynamical systems governing
a variety of physical and chemical processes ranging from atomic and molecular processes, spectroscopy and imaging in
Nuclear Magnetic Resonance and Nonlinear optics. I treat both classical and quantum systems described by ordinary or partial
differential equations. Different collaborations with mathematicians, theoretical and experimental physicists and chemists have
been developed.
List of research fields:
- Geometry and topology of classical integrable systems
Global description of molecular spectra
Analysis of the soliton solutions of PDE systems
Applications in nonlinear optics with the polarization attraction phenomenon
- Optimal control of dynamical systems
Optimal control by laser fields of the molecular dynamics in gas phase
Optimal control in Nuclear Magnetic Resonance and Magnetic Resonance Imaging