28 citations · 39 across the 2 of their papers we have counts for
2 papers
nlin.CD2014★ 11 cited
Barriers to Transport and Mixing in Volume-Preserving Maps with Nonzero Flux
Adam M Fox, Rafael de la Llave
In this paper we identify the geometric structures that restrict transport and mixing in perturbations of integrable volume-preserving systems with nonzero net flux. Unlike KAM tor…
nlin.CD2012★ 28 cited
Greene's Residue Criterion for the Breakup of Invariant Tori of Volume-Preserving Maps
Adam M. Fox, James D. Meiss
Invariant tori play a fundamental role in the dynamics of symplectic and volume-preserving maps. Codimension-one tori are particularly important as they form barriers to transport.…