Dynamical Systems

• Ergodic theory for differential equations
• Integrable systems and symmetry reduction
• Non-integrability and chaos in orbital Dynamics
• Linearization and regularization
• Perturbed systems in Mathematics and applied sciences

Numerical Methods with application in

• Solving differential equations
• Optimization problems and related software
• Problems in orbital Dynamics

Celestial Mechanics and Astronomy

• Analytical and qualitative methods
• Perturbation techniques
• Study of the orbital and rotational motion of natural and artifitial celestial bodies in Astrodynamics, stelar Dynamics and galactic Dynamics
• Identification of asteroids. Near Earth Objects (NEOs): study of impact possibilities

Quantum Mechanics on phase space

• Stratonovich-Weyl quantizers
• Group contraction

Coding theory and Cryptography

• Product codes
• AG-Codes

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(Last updated: April 4, 2001)