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Breakup of Shearless Meanders and "Outer" Tori in the Standard Nontwist Map
The breakup of shearless invariant tori with winding number
(in continued fraction representation) of the
standard nontwist map is studied numerically using Greene's residue criterion.
Tori of this winding number can assume the shape of meanders (folded-over
invariant tori which are not graphs over the x-axis in phase space),
whose breakup is the first point of focus here. Secondly, multiple shearless
orbits of this winding number can exist, leading to a new type of breakup
scenario. Results are discussed within the framework of the renormalization
group for area-preserving maps. Regularity of the critical tori is also
investigated.Comment: submitted to Chao
Change of language structure and typology in a Pacific language as a result of culture change
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