Dynamical Systems and Applications: Geometrical, Topological, and Numerical Aspects






The school aims to introduce graduate students and young researchers to the modern theory of dynamical systems and its applications, with a focus on geometric, topological, and numerical methods. The courses will be focused on some key topics in low and high dimensional dynamics, including Hamiltonian systems, Celestial Mechanics, statistical properties of dynamical sysyems and their relation with the underlying geometric structures. The participants will be provided with an introduction to the basic material with the necessary background, before proceeding with the more advanced topics. Geometric and topological methods in dynamics provide a global picture of the structures that organize the dynamics. Thay are also essential in designing and implementing rigorous numerical experiments. The courses will survey a range of applications including classical mechanics, space mission design, dynamical astronomy, material science and biology. Besides lectures, they will also have sessions devoted to solving exercices and to computer experiments.

Administrative and scientific coordinators

Aboubacar Marcos (Institut de Mathématiques et de Sciences Physiques (IMSP),
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Tere Seara (Universitat Politecnica de Catalyuna,
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Scientific program

Course 1: "Introduction to computation in dynamics", Rafael de la Llave (Georgia Tech, USA)

Course 2: "Computational Techniques, Tools and Implementations", Josep Masdemont (Universitat Politecnica de Catalyuna, Spain)

Course 3: "Complexity measures for integrable dynamical systems, with geometric applications", Jean-Pierre Marco (Université Pierre et Marie Curie, France)

Course 4: "Invariant manifolds, splitting of separatrices and exponentially small phenomena", Tere Seara (Universitat Politecnica de Catalyuna, Spain)

Course 5: "Topological Methods for Detection of Instability and Chaos Description", Marian Gidea (Yeshiva University, USA)

Course 6: "Introduction to Differentiable Ergodic Theory", Stefano Luzzatto (ICTP, Italy)

Website of the school

How to participate

For registration and application to a CIMPA financial support, follow the instructions given here

Deadline for registration and application:  February 25, 2018.