Differential Equations

Date:  Thursday, April 04, 2013
Location:  4088 East Hall (4:00 PM to 5:00 PM)

Title:  Dynamical Instability of nearly integrable Hamiltonian systems

Abstract:   Arnold diffusion is one of the most important problems in the field of dynamical systems and has puzzled us for half a century. It asks whether it is typical phenomenon that a higher-dimensional problems is topological instability: through an arbitrarily small neighborhood of any point there passes a phase trajectories along which the slow variables drift away from the initial value by a quantity of order 1.

In this talk, I shall survey recent progress on the topic and sketch our proof of Arnold diffusion in nearly integrable systems with three degrees of freedom.


Speaker:  Chong-Qing Cheng
Institution:  Nanjing Univ.

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