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تسجيل مستخدم جديدArnold diffusion in nearly integrable Hamiltonian systems of arbitrary degrees of freedom
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In this paper Arnold diffusion is proved to be a generic phenomenon in nearly integrable convex Hamiltonian systems with arbitrarily many degrees of freedom: $$ H(x,y)=h(y)+eps P(x,y), qquad xinmathbb{T}^n, yinmathbb{R}^n,quad ngeq 3. $$ Under typical perturbation $eps P$, the system admits connecting orbit that passes through any finitely many prescribed small balls in the same energy level $H^{-1}(E)$ provided $E>min h$.
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