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20122015
most citedGreene's Residue Criterion for the Breakup of Invariant Tori of Volume-Preserving Maps

28 citations · 87 across the 5 of their papers we have counts for

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Showing 2013Show all

2 papers · 1 filter

nlin.CD2013★ 24 cited

Efficient Computation of Invariant Tori in Volume-Preserving Maps

Adam M. Fox, James D. Meiss

In this paper we implement a numerical algorithm to compute codimension-one tori in three-dimensional, volume-preserving maps. A torus is defined by its conjugacy to rigid rotation…

nlin.CD2013★ 24 cited

Critical Invariant Circles in Asymmetric and Multiharmonic Generalized Standard Maps

Adam M. Fox, James D. Meiss

Invariant circles play an important role as barriers to transport in the dynamics of area-preserving maps. KAM theory guarantees the persistence of some circles for near-integrable…