28 citations · 87 across the 5 of their papers we have counts for
5 papers · 1 filter
Nonlinear Transport in the Stochastic Standard Map
Per Sebastian Skardal, Adam M. Fox
We study a stochastically-driven standard map. The addition of a noise term destroys the invariant manifolds that organize the phase space which allows for more widespread transpor…
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…
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…
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…
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.…