9 citations · 17 across the 3 of their papers we have counts for
3 papers
math.DS2023
Connecting Anti-integrability to Attractors for Three-Dimensional, Quadratic Diffeomorphisms
Amanda E Hampton, James D Meiss
We previously showed that three-dimensional quadratic diffeomorphisms have anti-integrable (AI) limits that correspond to a quadratic correspondence; a pair of one-dimensional maps…
nlin.CD2022★ 9 cited
Visualizing Attractors of the Three-Dimensional Generalized Hénon Map
Amanda E Hampton, James D Meiss
We study dynamics of a generic quadratic diffeomorphism, a 3D generalization of the planar Hénon map. Focusing on the dissipative, orientation preserving case, we give a comprehens…
math.DS2021★ 8 cited
Anti-Integrability for 3-Dimensional Quadratic Maps
Amanda E Hampton, James D Meiss
We study the dynamics of the three-dimensional quadratic diffeomorphism using a concept first introduced thirty years ago for the Frenkel-Kontorova model of condensed matter physic…