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Action-gradient-minimizing pseudo-orbits and almost-invariant tori

Dewar, Robert; Hudson, Stuart R; Gibson, Ashley


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...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
Source: Communications in Nonlinear Science and Numerical Simulation
DOI: 10.1016/j.cnsns.2011.04.022


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