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20212023
most citedVisualizing Attractors of the Three-Dimensional Generalized Hénon Map

9 citations · 17 across the 3 of their papers we have counts for

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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…

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…