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Focus on Dynamical Systems and Applications to Celestial Mechanics

Dynamical Systems provide a powerful mathematical background to explore a great variety of models involving natural and social sciences, physics, chemistry, ecology, conomics, neuroscience, astrodynamics among other fields. As a consequence Dynamical Systems theory has become an important and attractive branch of mathematics to students in many disciplines.

The courses proposed below aim at adquiring a basic and transversal knowledge of both the theory of Dynamical Systems as well as computational tools. Along the courses several applications are considered (see the course on 'Mathematical methods in Biology') but special emphasis is focused on Celestial Mechanics.

Other complementary courses from the Master at the Universitat de Barcelona are also given.

Qualitative and quantitative methods in dynamical systems 7.5 ECTS English MAMME
Numerical methods for dynamical systems 7.5 ECTS English MAMME
Hamiltonian systems 7.5 ECTS English MAMME
Mathematical models in biology 7.5 ECTS English MAMME
Advanced course in partial differential equations 7.5 ECTS English MAMME
Astrodynamics 5 ECTS English Master’s degree in Aerospace Science and Technology (UPC)
Dynamical systems 6 ECTS English Master’s degree in advanced and professional mathematics (UB)
Simulation methods 6 ECTS English Master’s degree in advanced and professional mathematics (UB)