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- W1850925580 abstract "In this paper, Arnold diffusion is proved to be generic phenomenon in nearly integrable convex Hamiltonian systems with three degrees of freedom: $$ H(x,y)=h(y)+epsilon P(x,y), qquad xinmathbb{T}^3, yinmathbb{R}^3. $$ 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, namely, $E>minalpha$." @default.
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- W1850925580 date "2023-05-11" @default.
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- W1850925580 title "Arnold diffusion for nearly integrable Hamiltonian systems" @default.
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- W1850925580 doi "https://doi.org/10.1007/s11425-022-2118-1" @default.
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