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- W1978642242 abstract "The separatrix map is constructed for some classes of problems in Hamiltonian dynamics. The formulae obtained are used to study two-dimensional symplectic maps close to integrable maps: elliptic periodic trajectories passing through separatrix lobes are constructed, and some estimates for the width of the stochastic layer are given. For Hamiltonian systems with two and a half degrees of freedom it is proved that the Arnol'd diffusion in the a priori unstable case is generic, and in the Mather problem trajectories are constructed for which the mean energy growth is linear in time." @default.
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- W1978642242 date "2007-04-30" @default.
- W1978642242 modified "2023-09-23" @default.
- W1978642242 title "Separatrix maps in Hamiltonian systems" @default.
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- W1978642242 doi "https://doi.org/10.1070/rm2007v062n02abeh004396" @default.
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