Seminar
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| Location: | SLMath: Baker Board Room |
Keywords and Mathematics Subject Classification (MSC)
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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
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