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- W1992345635 abstract "Transport in near-integrable, but partially chaotic, 112 degree-of-freedom Hamiltonian systems is blocked by invariant tori and is reduced at almost-invariant tori, both associated with the invariant tori of a neighboring integrable system. “Almost invariant” tori with rational rotation number can be defined using continuous families of periodic pseudo-orbits to foliate the surfaces, while irrational-rotation-number tori can be defined by nesting with sequences of such rational tori. Three definitions of “pseudo-orbit”, action-gradient–minimizing (AGMin), quadratic-flux-minimizing (QFMin) and ghost orbits, based on variants of Hamilton’s Principle, use different strategies to extremize the action as closely as possible. Equivalent Lagrangian (configuration-space action) and Hamiltonian (phase-space action) formulations, and a new approach to visualizing action-minimizing and minimax orbits based on AGMin pseudo-orbits, are presented." @default.
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- W1992345635 date "2012-05-01" @default.
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- W1992345635 title "Action-gradient-minimizing pseudo-orbits and almost-invariant tori" @default.
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- W1992345635 doi "https://doi.org/10.1016/j.cnsns.2011.04.022" @default.
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