Dynamical systems






This will be a school on dynamical systems in a rather wide sense, including background results on invariant manifolds and symplectic geometry (Chaperon), weak Kolmogorov-Arnold-Moser (KAM) theory and Arnold diffusion (Cheng, Seara), weak solutions of Hamilton-Jacobi evolution equations (Cheng, Wei), small denominators and KAM theory (Eliasson, Kuksin), partial differential equations (Cheng, Eliasson, Wei, Kuksin) and ergodic theory (Cheng, Luzzatto). Complex dynamics will be represented by a mini-course and a talk by Anna Miriam Benini (Rome). There will also be daily more advanced talks.

Administrative and scientific coordinators

Shree Ram Khadka (Tribhuvan University,
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Sergei Kuksin (Université Paris-Diderot,
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Scientific program

Course 1: "Variational methods for Tonelli Hamiltonians", Chong-Qing Cheng (Nanjing University, China)

Course 2: "Reducibility and almost reducibility for linear quasi-periodic co-cycles", Hakan Eliasson (Université Paris Diderot, France)

Course 3: "Introduction to Differentiable Ergodic Theory", Stefano Luzzatto (ICTP, Italy)

Course 4: "Variational and viscosity solution of the Hamilton-Jacobi equation", Qiaoling Wei (Capital Normal University, China)

Course 5: "Averaging for ODE and PDE", Sergei Kuksin (Université Paris Diderot, France)

Course 6: "Intersection between stable and unstable manifolds in Hamiltonian systems", Tere Seara (Universitat Politècnica de Catalunya, Spain)

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:  June 24, 2018.