# Mathematical Sciences Research Institute

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# Seminar

OT Programmatic Seminar: Arnold diffusion in nearly integrable Hamiltonian systems November 12, 2013 (03:45 PM PST - 04:45 PM PST)
Parent Program: Optimal Transport: Geometry and Dynamics MSRI: Baker Board Room
Speaker(s) Chong-Qing Cheng (Nanjing University)
Description No Description
Video
In this talk, I shall sketch the proof of Arnold diffsuion in nearly integrable Hamiltonian systems with three degrees of freedom $H(x,y)=h(y)+\epsilon P(x,y)$ where $(x,y)\in\mathbb{T}^3\times\mathbb{R}^3$. Under typical perturbation $\epsilon P$, the system admits connecting" orbit that passes through any two prescribed small balls in the same energy level $H^{-1}(E)$ provided $E$ is bigger than the minimum of the average action